Application of bifurcation methods to nonlinear flight dynamics problems, Progress in Aerospace Sciences, vol.33, issue.9, pp.1-8, 1997. ,
Upset Dynamics of an Airliner Model: A Nonlinear Bifurcation Analysis, Journal of Aircraft, vol.50, issue.6, pp.1832-1842, 2013. ,
Aircraft Trim Recovery from Highly Nonlinear Upset Conditions, AIAA Guidance, Navigation, and Control Conference, 2016. ,
Stall Recovery Guidance Algorithms Based on Constrained Control Approaches, AIAA Guidance, Navigation, and Control Conference, 2016. ,
A Multi-mode Upset Recovery Flight Control System for Large Transport Aircraft, AIAA Guidance, Navigation, and Control Conference, 2013. ,
Analysis of Control Strategies for Aircraft Flight Upset Recovery, AIAA Guidance, Navigation, and Control Conference, 2012. ,
Vehicle Upset Detection and Recovery for Onboard Guidance and Control, Journal of Guidance, Control, and Dynamics, vol.40, issue.4, pp.920-933, 2017. ,
Computational Aerodynamic Modeling Tools for Aircraft Loss of Control, Journal of Guidance, Control, and Dynamics, vol.40, issue.4, pp.789-803, 2017. ,
, Flight Dynamics Simulation of a Generic Transport Model, 2016.
Nonlinear Analysis of Aircraft Loss of Control, Journal of Guidance, Control, and Dynamics, vol.36, issue.1, pp.149-162, 2013. ,
Nonlinear region of attraction analysis for flight control verification and validation, Control Engineering Practice, vol.19, issue.4, pp.335-345, 2011. ,
Piece-wise Identification and Analysis of the Aerodynamic Coefficients, Trim Conditions, and Safe Sets of the Generic Transport Model, AIAA Guidance, Navigation, and Control Conference, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01857272
Autonomous control of agile fixed-wing UAVs performing aerobatic maneuvers, 2017 International Conference on Unmanned Aircraft Systems, pp.104-113, 2017. ,
Estimates for the Points of Intersection of Two Polynomial Regressions, Journal of the American Statistical Association, vol.59, issue.305, pp.214-224, 1964. ,
Fitting segmented polynomial regression models whose join points have to be estimated, Journal of the American Statistical Association, vol.68, issue.341, pp.144-147, 1973. ,
Piecewise Regression, Journal of the American Statistical Association, vol.65, issue.331, pp.1109-1124, 1970. ,
Piecewise-Polynomial Regression Trees, Statistica Sinica, vol.4, issue.1, pp.143-167, 1994. ,
A Multidimensional Spline-Based Global Nonlinear Aerodynamic Model for the Cessna Citation II, AIAA Atmospheric Flight Mechanics Conference, 2010. ,
Multivariate Spline-Based Adaptive Control of High-Performance Aircraft with Aerodynamic Uncertainties, Journal of Guidance, Control, and Dynamics, vol.39, issue.4, pp.781-800, 2016. ,
A new approach to linear regression with multivariate splines, Automatica, vol.45, issue.12, pp.2903-2909, 2009. ,
Real-Time Onboard Global Nonlinear Aerodynamic Modeling from Flight Data, Journal of Aircraft, vol.53, issue.5, pp.1261-1297, 2016. ,
The pwpfit Toolbox for Polynomial and Piece-wise Polynomial Data Fitting, 18th IFAC Symposium on System Identification, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01893968
Gergonne's 1815 paper on the design and analysis of polynomial regression experiments, Historia Mathematica, vol.1, pp.431-439, 1974. ,
On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance they give Towards a Proper Choice of the Distribution of Observations, Biometrika, vol.12, issue.1, 1918. ,
Piecewise Polynomial Model of the Aerodynamic Coefficients of the Generic Transport Model and its Equations of Motion, Tech. rep ,
URL : https://hal.archives-ouvertes.fr/hal-01808649
Recipes for Continuation, Computational Science & Engineering, Society for Industrial and Applied Mathematics, 2013. ,
On reachability and minimum cost optimal control, Automatica, vol.40, issue.6, pp.917-927, 2004. ,
Effects of Structural Failure on the Safe Flight Envelope of Aircraft, Journal of Guidance, Control, and Dynamics, vol.41, issue.6, pp.1257-1275, 2018. ,
LQR-trees: Feedback Motion Planning via Sums-of-Squares Verification, The International Journal of Robotics Research, vol.29, issue.8, pp.1038-1052, 2010. ,
Computation of piecewise quadratic Lyapunov functions for hybrid systems, IEEE Transactions on Automatic Control, vol.43, issue.4, pp.555-559, 1998. ,
Aircraft System Identification: Theory and Practice, AIAA Education Series, 2006. ,
, , vol.3, 2011.
Susceptibility of F/A-18 Flight Controllers to the Fallingleaf Mode: Linear Analysis, Journal of Guidance, Control, and Dynamics, vol.34, issue.1, pp.57-72, 2011. ,
Aerodynamic Characteristics of Airplanes at High Angles of Attack ,
AirSTAR: A UAV Platform for Flight Dynamics and Control System Testing, AIAA Aerodynamics Measurement Technology and Ground Testing Conference, 2006. ,
Nonlinear Analysis of Aircraft Loss of Control, Journal of Guidance, Control, and Dynamics, vol.36, issue.1, pp.149-162, 2013. ,
Recoverable sets of initial conditions and their use for aircraft flight planning after a loss of control event, AIAA Guidance, Navigation, and Control Conference, 2014. ,
A Multi-mode Upset Recovery Flight Control System for Large Transport Aircraft, AIAA Guidance, Navigation, and Control Conference, 2013. ,
Analysis of Control Strategies for Aircraft Flight Upset Recovery, AIAA Guidance, Navigation, and Control Conference, 2012. ,
Stall Recovery Guidance Algorithms Based on Constrained Control Approaches, AIAA Guidance, Navigation, and Control Conference, 2016. ,
A Guide to Numerical Methods for Transport Equations, 2010. ,
Software user guide, 2017. ,
, The Cumulus v1 UAV, 2017.
, ISO 1151-1, Flight dynamics -Concepts, quantities and symbols -Part 1: Aircraft motion relative to the air, 4, 1988.
Aircraft Trim Recovery from Highly Nonlinear Upset Conditions, AIAA Guidance, Navigation, and Control Conference, 2016. ,
Mechanics of Flight, vol.2, 2010. ,
Solving Least Squares Problems, Classics in Applied Mathematics, Society for Industrial and Applied Mathematics, 1995. ,
Identification of Thrust, Lift, and Drag for Deep-stall Flight Data of a Fixed-wing Unmanned Aircraft, 2018 International Conference on Unmanned Aircraft Systems, pp.531-538, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02068871
Piece-wise Identification and Analysis of the Aerodynamic Coefficients, Trim Conditions, and Safe Sets of the Generic Transport Model, AIAA Guidance, Navigation, and Control Conference, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01857272
Piecewise Polynomial Modeling for Control and Analysis of Aircraft Dynamics beyond Stall, Journal of Guidance, Control, and Dynamics, vol.42, issue.4, pp.949-957, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01893826
The pwpfit Toolbox for Polynomial and Piece-wise Polynomial Data Fitting, 18th IFAC Symposium on System Identification, pp.682-687, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01893968
Piecewise Polynomial Model of the Aerodynamic Coefficients of the Cumulus One Unmanned Aircraft, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02280789
Applied Nonlinear Control, 1991. ,
Elements of Applied Bifurcation Theory, No. 112 in Applied Mathematical Sciences, vol.2, 1998. ,
Recipes for Continuation, Computational Science & Engineering, Society for Industrial and Applied Mathematics, 2013. ,
New features of the software MatCont for bifurcation analysis of dynamical systems, Mathematical and Computer Modelling of Dynamical Systems, vol.14, issue.2, pp.147-175, 2008. ,
The Dynamical Systems Toolbox: Integrating AUTO into MATLAB, 16th US National Congress on Theoretical and Applied Mechanics, 2010. ,
, Continuation Core and Toolboxes (COCO), 2016.
Flight Vehicle System Identification: A Time Domain Methodology, Progress in Astronautics and Aeronautics, 2006. ,
Feedforward Control Design for Finite-Time Transition Problems of Nonlinear Systems, 2006. ,
Local stability analysis using simulations and sum-of-squares programming, Automatica, vol.44, issue.10, pp.2669-2675, 2008. ,
Robust Region-of-Attraction Estimation, IEEE Transactions on Automatic Control, vol.55, issue.1, pp.137-142, 2010. ,
Estimation of region of attraction for polynomial nonlinear systems: A numerical method, ISA Transactions, vol.53, issue.1, pp.25-32, 2014. ,
Region of attraction estimation using invariant sets and rational Lyapunov functions, Automatica, vol.75, pp.37-45, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01576290
Stability region analysis using polynomial and composite polynomial Lyapunov functions and sum-of-squares programming, IEEE Transactions on Automatic Control, vol.53, issue.2, pp.565-571, 2008. ,
Rational Lyapunov functions for estimating and controlling the robust domain of attraction, Automatica, vol.49, issue.4, pp.1051-1057, 2013. ,
Verification, Validation, and Certification of Aerospace Control Systems, pp.205-206, 2011. ,
Application of bifurcation methods to nonlinear flight dynamics problems, Progress in Aerospace Sciences, vol.33, issue.9, pp.1-8, 1997. ,
Upset Dynamics of an Airliner Model: A Nonlinear Bifurcation Analysis, Journal of Aircraft, vol.50, issue.6, pp.1832-1842, 2013. ,
Recoverable sets of initial conditions and their use for aircraft flight planning after a loss of control event, AIAA Guidance, Navigation, and Control Conference, 2014. ,
Fast Computable Recoverable Sets and Their Use for Aircraft Lossof-Control Handling, Journal of Guidance, Control, and Dynamics, vol.40, issue.4, pp.934-947, 2017. ,
On reachability and minimum cost optimal control, Automatica, vol.40, issue.6, pp.917-927, 2004. ,
Effects of Structural Failure on the Safe Flight Envelope of Aircraft, Journal of Guidance, Control, and Dynamics, vol.41, issue.6, pp.1257-1275, 2018. ,
On the Estimation of Asymptotic Stability Regions: State of the Art and New Proposals, IEEE Transactions on Automatic Control, vol.30, issue.8, pp.747-755, 1985. ,
Nonlinear Control Analysis and Synthesis using Sum-of-Squares Programming, 2006. ,
Quasiconvex sum-of-squares programming, 49th IEEE Conference on Decision and Control, pp.3337-3342, 2010. ,
Semidefinite programming relaxations for semialgebraic problems, Mathematical Programming, Series B, vol.96, issue.2, pp.293-320, 2003. ,
Robust Stability Analysis of Nonlinear Hybrid Systems, IEEE Transactions on Automatic Control, vol.54, issue.5, pp.1035-1041, 2009. ,
Local stability analysis using simulations and sum-of-squares programming, Automatica, vol.44, issue.10, pp.2669-2675, 2008. ,
Some Controls Applications of Sum of Squares Programming, Proceedings of the IEEE Conference on Decision and Control, vol.5, pp.4676-4681, 2003. ,
Control Design Along Trajectories via Sum of Squares Optimization, 2013 IEEE International Conference on Robotics and Automation, pp.4039-4046, 2013. ,
Robust nonlinear stability and performance analysis of an F/A-18 aircraft model using sum of squares programming, International Journal of Robust and Nonlinear Control, vol.23, pp.1099-1114, 2012. ,
Nonlinear region of attraction analysis for flight control verification and validation, Control Engineering Practice, vol.19, issue.4, pp.335-345, 2011. ,
Susceptibility of F/A-18 Flight Controllers to the Falling-leaf Mode: Nonlinear Analysis, Journal of Guidance, Control, and Dynamics, vol.34, issue.2, pp.73-85, 2011. ,
Multivariate Spline-Based Adaptive Control of High-Performance Aircraft with Aerodynamic Uncertainties, Journal of Guidance, Control, and Dynamics, vol.39, issue.4, pp.781-800, 2016. ,
Piecewise Polynomial Modeling for Control and Analysis of Aircraft Dynamics beyond Stall, Journal of Guidance, Control, and Dynamics, vol.42, issue.4, pp.949-957, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01893826
Dynamic Stability Analysis of Aircraft Flight in Deep Stall, Journal of Aircraft, 2019. ,
, ISO 1151-1, Flight dynamics -Concepts, quantities and symbols -Part 1: Aircraft motion relative to the air, 4, 1988.
Aircraft Trim Recovery from Highly Nonlinear Upset Conditions, AIAA Guidance, Navigation, and Control Conference, 2016. ,
Nonlinear Analysis of Aircraft Loss of Control, Journal of Guidance, Control, and Dynamics, vol.36, issue.1, pp.149-162, 2013. ,
Piecewise Polynomial Model of the Aerodynamic Coefficients of the Cumulus One Unmanned Aircraft, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02280789
On the Complexity of SOS Programming and Applications in Control Systems, Asian Journal of Control, vol.20, issue.5, pp.2005-2013, 2018. ,
Finite horizon backward reachability analysis and control synthesis for uncertain nonlinear systems, Proceedings of the American Control Conference, pp.5020-5026, 2019. ,
, International Air Transport Association, 2010.
Intelligent Flight Control Systems Evaluation for Loss-of-Control Recovery and Prevention, J. Guid. Control Dynam, vol.40, issue.4, pp.890-904, 2016. ,
Vehicle Upset Detection and Recovery for Onboard Guidance and Control, J. Guid. Control Dynam, vol.40, issue.4, pp.920-933, 2017. ,
Safe Set Protection and Restoration for Unimpaired and Impaired Aircraft, AIAA Guidance, Navigation, and Control Conf, 2012. ,
Envelope-aware Flight Management for Loss of Control Prevention given Rudder Jam, J. Guid. Control Dynam, vol.40, pp.1027-1041, 2017. ,
Aircraft Trim Recovery from Highly Nonlinear Upset Conditions, AIAA Guidance, Navigation, and Control Conf, 2016. ,
Multivariate Spline-Based Adaptive Control of High-Performance Aircraft with Aerodynamic Uncertainties, J. Guid. Control Dynam, vol.39, issue.4, pp.781-800, 2016. ,
Reinforcement Learning-Based Optimal Flat Spin Recovery for Unmanned Aerial Vehicle, J. Guid. Control Dynam, vol.40, issue.4, pp.1076-1084, 2016. ,
Stall Recovery Guidance Using Fast Model Predictive Control, AIAA Guidance, Navigation, and Control Conf, 2017. ,
Optimal Attitude and Flight Vector Recovery for Large Transport Aircraft using Sequential Quadratic Programming, 2016 Pattern Recognition Association of South Africa and Robotics and Mechatronics International Conf, 2016. ,
Optimal Aircraft Control Upset Recovery With and Without Component Failures, Proc. of the American Control Conf, pp.3644-3649, 2002. ,
Automatic Spin Recovery with Minimal Altitude Loss, 2018 AIAA Guidance, Navigation, and Control Conf, 2018. ,
Economic Model Predictive Control, 2017. ,
Identification of Thrust, Lift, and Drag for Deep-stall Flight Data of a Fixed-wing Unmanned Aircraft, 2018 Int. Conf. on Unmanned Aircraft Systems, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02068871
Dynamic Stability Analysis of Aircraft Flight in Deepstall, Under review for J. Aircraft, 2019. ,
Model Predictive Control in Aerospace Systems: Current State and Opportunities, J. Guid. Control Dynam, vol.40, issue.7, pp.1541-1566, 2017. ,
On Average Performance and Stability of Economic Model Predictive Control, IEEE Trans. Automat. Contr, vol.57, issue.7, pp.1615-1626, 2012. ,
Economic MPC without terminal constraints: Gradient-correcting end penalties enforce asymptotic stability, J. of Process Contr, vol.63, pp.1-14, 2018. ,
Fast economic model predictive control based on NLP-sensitivities, J. Process Contr, vol.24, issue.8, pp.1260-1272, 2014. ,
Semidefinite programming relaxations for semialgebraic problems, Math. Program. B, vol.96, issue.2, pp.293-320, 2003. ,
Nonlinear Control Analysis and Synthesis using Sum-of-Squares Programming, 2006. ,
Quasiconvex sum-of-squares programming, 49th IEEE Conf. on Decision and Control, pp.3337-3342, 2010. ,
Local stability analysis using simulations and sum-of-squares programming, Automatica, vol.44, issue.10, pp.2669-2675, 2008. ,
Nonlinear region of attraction analysis for flight control verification and validation, Control Eng. Pract, vol.19, issue.4, pp.335-345, 2011. ,
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems, 47th IEEE Conf. on Decision and Control, pp.614-621, 2008. ,
Establishing robust stability of discrete-time systems with time-varying uncertainty: The Gram-SOS approach, Automatica, vol.50, issue.11, pp.2813-2821, 2014. ,
Analysis and design of polynomial control systems using dissipation inequalities and sum of squares, Comp. Chem. Eng, vol.30, pp.1590-1602, 2006. ,
Turnpike and dissipativity properties in dynamic real-time optimization and economic MPC, 53rd IEEE Conf. on Decision and Control, pp.2734-2739, 2014. ,
Automatica Stability and performance verification of optimization-based, Automatica, vol.78, pp.34-45, 2017. ,
, Airplane Flying Handbook, Flight Standards Service, 2016.
Piecewise Polynomial Model of the Aerodynamic Coefficients of the Cumulus One Unmanned Aircraft, Sky-Watch A/S ,
URL : https://hal.archives-ouvertes.fr/hal-02280789
Some Extensions of Liapunov's Second Method, IRE Trans. Circuit Theory, issue.7, pp.520-527, 1960. ,
, Nonlinear Model Predictive Control: Theory and Algorithms, 2017.
On the implementation of an interior-point filter line-search algorithm for large-scale nonlinear programming, Math. Program. A, vol.106, pp.25-57, 2006. ,
, Contribution of ICAO/CAST categories to accidents and fatalities
, Artistic illustration of normal flight envelope, structural safe flight envelope, and structural flight envelope
Illustrations of aircraft flight paths in upset conditions, p.9 ,
, Illustration of the airflow around an aircraft wing before, at, and beyond the stall angle of attack
, Illustrations of aircraft studied in the thesis
, , vol.21
, , vol.21
, Overview of linear and nonlinear system classes and their relationship (non-exhaustive)
Bifurcations in continuous systems and one parameter, p.38 ,
, Phase-plane of the Van-der-Pol oscillator with negative damping, p.41
, Flow chart for the piecewise polynomial fitting approach, p.62
, Axis systems with angles and vectors
, Comparison of 3rd-order polynomial and piecewise identification, p.65
, Piecewise model of the aerodynamic coefficients in angle of attack and side-slip angle
, Continuation of the longitudinal dynamics of the GTM for polynomial and piecewise defined models
, Stability of the longitudinal dynamics for polynomial and piecewise defined models
, , 2011.
Digital rendering of Cumulus One ready for flight, p.83 ,
, Aborted deep-stall manoeuvre, initiated in level-flight by a step in the elevator deflection command
, Longitudinal axes with angles and vectors for ? = 0
Polynomial model of aerodynamic coefficients, vol.87 ,
, Piecewise model of aerodynamic coefficients with polynomial segments, p.89
, Blended piecewise polynomial model of the aerodynamic lift coefficient, p.90
, Trim conditions of unthrottled longitudinal motion with unstable regimes, p.91
, Eigenvalues of longitudinal motion for varying elevator deflections, p.92
, Step responses for ? t?0 = ?38 ? and increasing pitch damping coefficients. 98 4.14 Eigenvalues of longitudinal motion for ? = ?38 ? and varying pitch damping coefficients, Step responses for ? t?0 = ?50 ? and increasing pitch damping coefficients. 97 4.13
, Optimal model fit for data set #1
, Invariant set for aircraft short-period motion
, Overview of linear and nonlinear control system classes and their relationship (non-exhaustive)
, Longitudinal axes with angles and vectors for ? = 0
, Piecewise model of aerodynamic coefficients with polynomial segments, p.155
, Trim conditions of longitudinal motion with unstable regimes, p.158
, Estimated control-invariant region of attraction of the linear quadratic regulator
, Region of attraction of a linear control feedback law, synthesized by backwards reachability of the deep-stall target
, Region of attraction estimates during iteration of the backwards-reachability control synthesis
,
, Time responses and region of attraction estimates in the phugoid plane, p.171
Provable stable set under nominal LQR control inputs, p.188 ,
Economic and tracking MPC for deep-stall recovery, p.189 ,
, Upset recovery strategies with switching to nominal control, p.190
, Flight paths of spiral and oscillatory spin modes of the GTM, p.194
, Periodic motion in oscillatory spin mode
, Nominal NMPC strategies for recovery from steep spiral and oscillatory spin upsets
Flight path of NMPC recovery from steep spiral upset ,
, Simulated NMPC recovery for steep spiral upset
, Flight path of NMPC recovery from oscillatory spin upset, p.202
Simulated NMPC recovery for oscillatory spin upset, p.203 ,
Piecewise polynomial C m model over ? for ? = 15 ? , ? = ?10, p.204 ,
, Details of the NMPC simulation
Observed coefficients and comparison of 3rd-order polynomial and piecewise identification ,
, Piecewise model of the aerodynamic coefficients of the Generic Transport Model
Piecewise fits of erroneous coefficients ,
Axis systems with angles and vectors ,
, Overview of the Simulink model
, Overview of the aircraft simulation
Simulation of aerodynamics forces and moments, p.291 ,
, Point-mass rigid body equations of motion
Uplink and downlink of inputs and outputs, p.293 ,
, Overview of the NMPC feedback block
, Parameters of the Generic Transport Model and Cumulus One, vol.20
Bifurcations in continuous systems and one parameter, p.35 ,
, Details of the application example
,
, Polynomial degrees of SOS problems
Time consumption for fit of multi-variate polynomials, p.259 ,
, Time consumption for sequential fit of polynomial sum, p.260
Umdruck zur Vorlesung Regelungstechnik und Ergänzugen (Höhere Regelungstechnik), 2013. ,
Improving Efficiency and Scalability of Sum of Squares Optimization : Recent Advances and Limitations, 56th IEEE Conference on Decision and Control, pp.453-462, 2017. ,
DSOS and SDSOS Optimization: More Tractable Alternatives to Sum of Squares and Semidefinite Optimization, SIAM Journal on Applied Algebraic Geometry. doi, 2018. ,
Non-monotonic Lyapunov functions for stability of discrete time nonlinear and switched systems, 47th IEEE Conference on Decision and Control, pp.614-621, 2008. ,
Recoverability Envelope Analysis of Nonlinear Control Laws for Agile Maneuvering Aircraft, 2018 AIAA Guidance, Navigation, and Control Conference, 2018. ,
Contraction-based nonlinear model predictive control formulation without stability-related terminal constraints, Automatica 75, pp.288-292, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01402122
Safe Set Protection and Restoration for Unimpaired and Impaired Aircraft, AIAA Guidance, Navigation, and Control Conference, 2012. ,
Fault-Tolerant Model Predictive Control with Flight-Test Results, Journal of Guidance, Control, and Dynamics, vol.33, pp.363-375, 2010. ,
Bifurcation Control in Feedback Systems, Bifurcation Control. Theory and Applications, vol.10, pp.205-228, 2003. ,
Estimation of the domain of attraction for a class of hybrid systems, Nonlinear Analysis: Hybrid Systems 5.3, pp.573-582, 2011. ,
Economic optimization using model predictive control with a terminal cost, Annual Reviews in Control, vol.35, pp.178-186, 2011. ,
Robust nonlinear stability and performance analysis of an F/A-18 aircraft model using sum of squares programming, International Journal of Robust and Nonlinear Control, vol.23, pp.1099-1114, 2012. ,
CasADi -A software framework for nonlinear optimization and optimal control, 2018. ,
User Documentation for CasADi v3, 2018. ,
On Average Performance and Stability of Economic Model Predictive Control, IEEE Transactions on Automatic Control, vol.57, pp.1615-1626, 2012. ,
Feedback Systems: An Introduction for Scientists and Engineers, 2008. ,
Nonlinear control design of a hypersonic aircraft using sum-of-squares method, Proceedings of the 2007 American Control Conference, pp.5278-5283, 2007. ,
Robust Multivariable Control of Aerospace Systems. Control and Simulation, 2002. ,
Aircraft Loss of Control Problem Analysis and Research Toward a Holistic Solution, Journal of Guidance, Control, and Dynamics, vol.40, pp.733-775, 2017. ,
Set invariance in control, Automatica, vol.35, pp.1747-1767, 1999. ,
Statistical Summary of Commercial Jet Airplane Accidents, Worldwide Operations, US-WA: Aviation Safety, Boeing Commercial Airplanes, 1959. ,
Statistical Summary of Commercial Jet Airplane Accidents, Worldwide Operations, US-WA: Aviation Safety, Boeing Commercial Airplanes, 1959. ,
Statistical Summary of Commercial Jet Airplane Accidents, Worldwide Operations, US-WA: Aviation Safety, Boeing Commercial Airplanes, pp.1959-2015, 2016. ,
Real-Time Onboard Global Nonlinear Aerodynamic Modeling from Flight Data, Journal of Aircraft, vol.53, pp.1261-1297, 2016. ,
Multiple Lyapunov functions and other analysis tools for switched and hybrid systems, IEEE Transactions on Automatic Control, vol.43, pp.475-482, 1998. ,
, Flugregelung. 3rd rev, 2011.
Autonomous control of agile fixed-wing UAVs performing aerobatic maneuvers, 2017 International Conference on Unmanned Aircraft Systems. Miami, US-FL, pp.104-113, 2017. ,
Automatic Spin Detection and Recovery for Small Aircraft, 2017. ,
Automatic Spin Recovery with Minimal Altitude Loss, 2018 AIAA Guidance, Navigation, and Control Conference, 2018. ,
Development and Flight Test of an Emergency Flight Control System Using Only Engine Thrust on an MD-11 Transport Airplane. NASA technical publication NASA/TP-97-206217, 1997. ,
Manual Throttles-Only Control Effectiveness for Emergency Flight Control of Transport Aircraft, 9th AIAA Aviation Technology, Integration, and Operations Conference, 2009. ,
, Airplane Upset Recovery Training Aid. 2nd rev, Flight Safety Foundation, 2008.
Bifurcation Analysis of Nonlinear Aircraft Dynamics, Journal of Guidance, Control, and Dynamics, vol.5, pp.529-536, 1982. ,
Nonlinear region of attraction analysis for flight control verification and validation, Control Engineering Practice, vol.19, pp.335-345, 2011. ,
Susceptibility of F/A-18 Flight Controllers to the Falling-leaf Mode: Linear Analysis, Journal of Guidance, Control, and Dynamics, vol.34, issue.1, pp.57-72, 2011. ,
Susceptibility of F/A-18 Flight Controllers to the Falling-leaf Mode: Nonlinear Analysis, Journal of Guidance, Control, and Dynamics, vol.34, issue.2, pp.73-85, 2011. ,
Aerodynamic Characteristics of Airplanes at High Angles of Attack. NASA technical memorandum NASA/TM-74097, 1977. ,
Aircraft Trim Recovery from Highly Nonlinear Upset Conditions, AIAA Guidance, Navigation, and Control Conference, 2016. ,
Piecewise-Polynomial Regression Trees, Statistica Sinica 4.1, pp.143-167, 1994. ,
, Bifurcation Control: Theories, Methods, and Applications, pp.511-548, 2000.
Identification and Control of a Nonlinear Discrete-Time System Based on its Linearization, IEEE Transactions on Neural Networks, vol.15, pp.663-673, 2004. ,
Stability Analysis and Region-of-Attraction Estimation Using Piecewise Polynomial Lyapunov Functions: Polynomial Fuzzy Model Approach, IEEE Transactions on Fuzzy Systems, vol.23, pp.1314-1322, 2015. ,
Rational Lyapunov functions for estimating and controlling the robust domain of attraction, Automatica 49, vol.4, pp.1051-1057, 2013. ,
Establishing robust stability of discrete-time systems with timevarying uncertainty: The Gram-SOS approach, Automatica 50.11, pp.2813-2821, 2014. ,
On the Complexity of SOS Programming and Applications in Control Systems, Asian Journal of Control, vol.20, pp.2005-2013, 2018. ,
Sums of Squares of Real Polynomials, Proceedings of Symposia in Pure Mathematics 58, pp.103-126, 1995. ,
, The Dynamical Systems Toolbox: Integrating AUTO into MATLAB". In: 16th US National Congress on Theoretical and Applied Mechanics, 2010.
Standardizing International Taxonomies, ISASI Forum 41.1, pp.1088-8128, 2008. ,
Introduction to bifurcation theory, Reviews of Modern Physics, vol.63, pp.991-1037, 1991. ,
Analysis of Control Strategies for Aircraft Flight Upset Recovery, AIAA Guidance, Navigation, and Control Conference, 2012. ,
The pwpfit Toolbox for Polynomial and Piece-wise Polynomial Data Fitting, 18th IFAC Symposium on System Identification, pp.682-687, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01893968
Performance of Unmanned Aircrafts in the Event of Loss-of-control, 10th International Micro Air Vehicle Conference and Competition, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02068882
EDURA: an Evolvable Demonstrator for Upset Recovery Approaches with a 3D-printed Launcher, 9th International Micro Air Vehicle Conference and Competition, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01587228
Non-linear Analysis and Control Proposal for In-flight Loss-of-control, 20th IFAC World Congress, preprints. Toulouse, FR, pp.10681-10685, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01543046
Piece-wise Identification and Analysis of the Aerodynamic Coefficients, Trim Conditions, and Safe Sets of the Generic Transport Model, AIAA Guidance, Navigation, and Control Conference, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01857272
Piecewise Polynomial Model of the Aerodynamic Coefficients of the Generic Transport Model and its Equations of Motion. Tech. rep. hal-01808649, version 3. Toulouse, FR: ONERA -The French Aerospace Lab; French Civil Aviation School, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01808649
Piecewise Polynomial Modeling for Control and Analysis of Aircraft Dynamics beyond Stall, Journal of Guidance, Control, and Dynamics, vol.42, pp.949-957, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-01893826
Full-envelope, Six-Degrees-of-Freedom Trim Analysis of Unmanned Aerial Systems based on Piecewise Polynomial Aerodynamic Coefficients, 4th Workshop on Research, pp.108-113, 2017. ,
Local stability analysis for large polynomial spline systems, Revision under review for Automatica, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02390130
Sum-ofsquares Flight Control Synthesis for Deep-stall Recovery, Revision under review for Journal of Guidance, Control, and Dynamics, 2019. ,
Dynamic Stability Analysis of Aircraft Flight in Deep Stall, Journal of Aircraft, 2019. ,
Piecewise Polynomial Model of the Aerodynamic Coefficients of the Cumulus One Unmanned Aircraft, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02280789
Talking Aviation Safety: How to make airplanes safer, EuroScience Open Forum, 2018. ,
Identification of Thrust, Lift, and Drag for Deep-stall Flight Data of a Fixed-wing Unmanned Aircraft, 2018 International Conference on Unmanned Aircraft Systems, pp.531-538, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-02068871
Economic Model-Predictive Control Strategies for Aircraft Deep-stall Recovery with Stability Guarantees, 58th IEEE Conference on Decision and Control, 2019. ,
URL : https://hal.archives-ouvertes.fr/hal-02390139
A Piloted Evaluation of Damage Accommodating Flight Control Using a Remotely Piloted Vehicle, AIAA Guidance, Navigation, and Control Conference, 2011. ,
Recipes for Continuation, Computational Science & Engineering. Philadelphia, US-PA: Society for Industrial and Applied Mathematics, 2013. ,
, Continuation Core and Toolboxes (COCO), 2016.
,
Survey of modeling, analysis, and control of hybrid systems, Handbook of Hybrid Systems Control: Theory, Tools, Applications. Ed. by Jan Lunze and Françoise Lamnabhi-Lagarrigue, pp.31-55, 2009. ,
URL : https://hal.archives-ouvertes.fr/hal-00392633
Optimizing Gershgorin for Symmetric Matrices, 2016. ,
New features of the software MatCont for bifurcation analysis of dynamical systems, Mathematical and Computer Modelling of Dynamical Systems, vol.14, pp.147-175, 2008. ,
Envelope-aware Flight Management for Loss of Control Prevention given Rudder Jam, Journal of Guidance, Control, and Dynamics, vol.40, pp.1027-1041, 2017. ,
A Lyapunov function for economic optimizing model predictive control, IEEE Transactions on Automatic Control, vol.56, pp.703-707, 2011. ,
URL : https://hal.archives-ouvertes.fr/hal-01068544
Aircraft loss-of-control prevention and recovery: a hybrid control strategy, 2010. ,
AVL 3.36. Software User Guide. Cambridge, 2017. ,
Analysis and design of polynomial control systems using dissipation inequalities and sum of squares, Computers and Chemical Engineering, vol.30, pp.1590-1602, 2006. ,
Economic Model Predictive Control: Theory, Formulations and Chemical Process Applications, p.9783319411071, 2017. ,
From Here to Autonomy: Lessons Learned From Human-Automation Research, Human Factors 59.1, pp.5-27, 2017. ,
Automatic Flight Envelope Recovery for Large Transport Aircraft, 2016. ,
A Multimode Upset Recovery Flight Control System for Large Transport Aircraft, AIAA Guidance, Navigation, and Control Conference, 2013. ,
Optimal attitude and flight vector recovery for large transport aircraft using sequential quadratic programming, 2016 Pattern Recognition Association of South Africa and Robotics and Mechatronics International Conference, 2016. ,
Model Predictive Control in Aerospace Systems: Current State and Opportunities, Journal of Guidance, Control, and Dynamics, vol.40, pp.1541-1566, 2017. ,
Airplane Flying Handbook. FAA handbook FAA-H-8083-3B, 2016. ,
Turnpike and dissipativity properties in dynamic real-time optimization and economic MPC, 53rd IEEE Conference on Decision and Control, pp.2734-2739, 2014. ,
Fault-tolerant reference generation for model predictive control with active diagnosis of elevator jamming faults, International Journal of Robust and Nonlinear Control, 2018. ,
Dynamics Modeling and Simulation of Large Transport Airplanes in Upset Conditions, AIAA Guidance, Navigation, and Control Conference and Exhibit, 2005. ,
Computational Aerodynamic Modeling Tools for Aircraft Loss of Control, Journal of Guidance, Control, and Dynamics, vol.40, pp.789-803, 2017. ,
Fitting segmented polynomial regression models whose join points have to be estimated, Journal of the American Statistical Association 68, vol.341, pp.144-147, 1973. ,
On the Estimation of Asymptotic Stability Regions: State of the Art and New Proposals, IEEE Transactions on Automatic Control, vol.30, pp.747-755, 1985. ,
Upset Dynamics of an Airliner Model: A Nonlinear Bifurcation Analysis, Numerical Methods for Solving Least Squares Problems. Final report ARO 16037, vol.50, pp.1832-1842, 1982. ,
Application of bifurcation methods to nonlinear flight dynamics problems, Progress in Aerospace Sciences, vol.33, pp.539-586, 1997. ,
Feedforward Control Design for Finite-Time Transition Problems of Nonlinear Systems, 2006. ,
Evaluating a set of stall recovery actions for single engine light aeroplanes, The Aeronautical Journal 118.1203, pp.461-484, 2014. ,
Flight Test of L 1 Adaptive Control Law: Offset Landings and Large Flight Envelope Modeling Work, AIAA Guidance, Navigation, and Control Conference, 2011. ,
Hybrid Systems, pp.3-540, 1993. ,
, Nonlinear Model Predictive Control: Theory and Algorithms, p.9783319460239, 2017.
A human-centred design agenda for the development of single crew operated commercial aircraft, Aircraft Engineering and Aerospace Technology, vol.79, pp.518-526, 2007. ,
An Algorithm for Linear Least Squares Problems with Equality and Nonnegativity Constraints, Mathematical Programming 21, vol.1, pp.98-118, 1981. ,
, Loss of Control In-Flight Accident Analysis Report, pp.978-92, 2010.
Unstable Approaches: Risk Mitigation Policies, Procedures and Best Practices, International Air Transport Association. isbn, pp.978-92, 2015. ,
Circular 328. Montreal, CA: International Civil Aviation Organization, 2011. ,
Accident/Incident Data Reporting taxonomy -Occurence category. Data Definition Standard. Montreal, CA: International Civil Aviation Organization, 2013. ,
Software documentation Revision 2617. Maintained by Stefan Vigerske and Andreas Wächter, 2016. ,
The zero dynamics of a nonlinear system: From the origin to the latest progresses of a long successful story, European Journal of Control, vol.19, pp.369-378, 1988. ,
Unconstrained Receding-Horizon Control of Nonlinear Systems, IEEE Transactions on Automatic Control, vol.46, pp.776-783, 2001. ,
Application of Dynamical Systems Theory to Nonlinear Aircraft Dynamics, 1990. ,
Some Controls Applications of Sum of Squares Programming, Proceedings of the IEEE Conference on Decision and Control, vol.5, pp.4676-4681, 2003. ,
Fast economic model predictive control based on NLP-sensitivities, Journal of Process Control, vol.24, pp.1260-1272, 2014. ,
Flight Vehicle System Identification: A Time Domain Methodology, American Institute of Aeronautics and Astronautics, vol.216, 2006. ,
Computation of piecewise quadratic Lyapunov functions for hybrid systems, IEEE Transactions on Automatic Control, vol.43, pp.555-559, 1998. ,
Limited Authority Adaptive Flight Control, 2000. ,
Fault-Tolerant Control through a Synthesis of Model-Predictive Control and Nonlinear Inversion, RECOVER: A Benchmark for Integrated Fault Tolerant Flight Control Evaluation, 2010. ,
, , pp.319-336
AirSTAR: A UAV Platform for Flight Dynamics and Control System Testing, AIAA Aerodynamics Measurement Technology and Ground Testing Conference, 2006. ,
Development of a Dynamically Scaled Generic Transport Model Testbed for Flight Research Experiments". In: AUVSI's Unmanned Systems North America, Association for Unmanned Vehicle Systems International, 2004. ,
, Generalized Least Squares. Wiley Series in Probability and Statistics, 2004.
Convex Relaxation of Bilinear Matrix Inequalities Part I: Theoretical Results, 57th IEEE Conference on Decision and Control, pp.67-74, 2018. ,
, , 2018.
Estimation of region of attraction for polynomial nonlinear systems: A numerical method, ISA Transactions 53.1, pp.25-32, 2014. ,
Reinforcement Learning-Based Optimal Flat Spin Recovery for Unmanned Aerial Vehicle, Journal of Guidance, Control, and Dynamics 40, vol.4, pp.1076-1084, 2016. ,
Aircraft System Identification: Theory and Practice, AIAA Education Series, p.484, 2006. ,
Stability and performance verification of optimization-based controllers, Automatica 78, pp.34-45, 2017. ,
Model Predictive Control: Classical, Robust and Stochastic, 2016. ,
A Guide to Numerical Methods for Transport Equations. Book Draft, 2010. ,
Elements of Applied Bifurcation Theory, Applied Mathematical Sciences, vol.112, 1998. ,
Static Bifurcation in Mechanical Control Systems, Bifurcation Control. Theory and Applications, 2003. ,
Lecture Notes in Control and Information Sciences, vol.4, pp.67-81 ,
Nonlinear Analysis of Aircraft Loss of Control, Journal of Guidance, Control, and Dynamics, vol.36, issue.1, pp.149-162, 2013. ,
Some Extensions of Liapunov's Second Method, IRE Transactions on Circuit Theory CT-7.4, pp.520-527, 1960. ,
Solving Least Squares Problems, Classics in Applied Mathematics. Society for Industrial and Applied Mathematics, 1995. ,
Input-to-state stability: A unifying framework for robust model predictive control, Nonlinear Model Predictive Control, vol.384, pp.1-26, 2009. ,
Identification of Aerodynamic Coefficients Using Computational Neural Networks, Journal of Guidance, Control, and Dynamics, vol.16, issue.6, pp.1018-1025, 1993. ,
Pseudo Control Hedging and its Application for Safe Flight Envelope Protection, AIAA Guidance, Navigation, and Control Conference, 2010. ,
Stall Recovery Guidance Using an Energy Based Algorithm, AIAA Guidance, Navigation, and Control Conference, 2017. ,
Piloted Simulator Evaluation Results of Flight Physics Based Stall Recovery Guidance, 2018 AIAA Guidance, Navigation, and Control Conference, 2018. ,
Safe maneuvering envelope estimation based on a physical approach, AIAA Guidance, Navigation, and Control Conference, 2013. ,
, Special Issue on Aircraft Loss of Control, vol.40, pp.733-1084, 2017.
, Handbook of Hybrid Systems Control: Theory, Tools, Applications. Cambridge, GB, 2009.
On reachability and minimum cost optimal control, Automatica 40, vol.6, pp.917-927, 2004. ,
Fault tolerant control using Gaussian processes and model predictive control, International Journal of Applied Mathematics and Computer Science, vol.25, pp.133-148, 2015. ,
Control Design Along Trajectories via Sum of Squares Optimization, 2013 IEEE International Conference on Robotics and Automation, pp.4039-4046, 2013. ,
Review of Lyapunov Functions, Constructions of Strict Lyapunov Functions, pp.25-57, 2009. ,
Nonlinear Symbolic LFT Tools for Modelling, Analysis and Design, Nonlinear Analysis and Synthesis Techniques for Aircraft Control, pp.69-92, 2007. ,
Context-Driven Autonomy for Enhanced System Resilience in Emergent Operating Environments, IEEE Systems Journal, pp.1-12, 2018. ,
Fast Computable Recoverable Sets and Their Use for Aircraft Loss-of-Control Handling, Journal of Guidance, Control, and Dynamics, vol.40, pp.934-947, 2017. ,
Recoverable sets of initial conditions and their use for aircraft flight planning after a loss of control event, AIAA Guidance, Navigation, and Control Conference, 2014. ,
Piecewise Regression, Journal of the American Statistical Association, vol.65, pp.1109-1124, 1970. ,
The arithmetic-geometric inequality, Symposium on Inequalities. Air Force Academy, pp.205-224, 1967. ,
Recent NASA Research on Aerodynamic Modeling of Post-Stall and Spin Dynamics of Large Transport Airplanes, 45th AIAA Aerospace Sciences Meeting and Exhibit, 2007. ,
Effects of Structural Failure on the Safe Flight Envelope of Aircraft, Journal of Guidance, Control, and Dynamics, vol.41, pp.1257-1275, 2018. ,
, Flight Dynamics Simulation of a Generic Transport Model. Online resource, NASA, 2016.
Flight Stability and Automatic Control, p.70462739, 1998. ,
The Explicit Reference Governor: A General Framework for the Closed-Form Control of Constrained Nonlinear Systems, IEEE Control Systems, vol.38, pp.89-107, 2018. ,
Motion Simulation of Transport Aircraft in Extended Envelopes : Test Pilot Assessment, Journal of Guidance, Control, and Dynamics, 2016. ,
Robust Stability Analysis of Nonlinear Hybrid Systems, IEEE Transactions on Automatic Control, vol.54, pp.1035-1041, 2009. ,
Semidefinite programming relaxations for semialgebraic problems, Mathematical Programming, Series B 96, pp.293-320, 2003. ,
Lyapunov's stability theory-100 years on, IMA Journal of Mathematical Control & Information, vol.9, pp.275-303, 1992. ,
Basis selection for SOS programs via facial reduction and polyhedral approximations, 53rd IEEE Conference on Decision and Control, pp.6615-6620, 2014. ,
Verification, Validation, and Certification of Aerospace Control Systems, The Impact of Control Technology, vol.4, pp.205-206, 2011. ,
Aerospace Control, The Impact of Control Technology, pp.9-20, 2011. ,
, Mechanics of Flight, 2010.
Model Predictive Control Synthesis for the Innovative Control Effector Tailless Fighter Aircraft, 2019. ,
, Positive Polynomials on Compact Semi-algebraic sets". In: Indiana University Mathematics Journal, vol.42, pp.969-984, 1993.
A dual to Lyapunov's stability theorem, Systems and Control Letters, vol.42, pp.87-93, 2001. ,
Glide and Powered Flight Characteristics of Micro Air Vehicles from Experimental Measurements, AIAA Applied Aerodynamics Conference, 2012. ,
, Model Predictive Control: Theory, Computation, and Design, 2017.
Unconstrained model predictive control and suboptimality estimates for nonlinear continuous-time systems, Automatica 48, vol.8, pp.1812-1817, 2012. ,
Vehicle Upset Detection and Recovery for Onboard Guidance and Control, Journal of Guidance, Control, and Dynamics, vol.40, pp.920-933, 2017. ,
Piloted Flight Test Evaluation of Robust Upset-Recovery Guidance, Control Conference, 2018. ,
, , pp.2018-1864
Differential Flatness Theory and Flatness-Based Control, Nonlinear Control and Filtering Using Differential Flatness Approaches, pp.47-102, 2015. ,
Estimates for the Points of Intersection of Two Polynomial Regressions, Journal of the American Statistical Association 59.305, pp.214-224, 1964. ,
Determining the domain of attraction of hybrid non-linear systems using maximal Lyapunov functions, Kybernetika 46.1, pp.19-37, 2010. ,
Nonlinear Hybrid Systems Identification using Kernel-Based Techniques, 18th IFAC Symposium on System Identification, pp.269-274, 2018. ,
Autonomous Flight Envelope Estimation for Loss-of-Control Prevention, Journal of Guidance, Control, and Dynamics, vol.40, 2017. ,
Stall Recovery Guidance Using Fast Model Predictive Control, AIAA Guidance, Navigation, and Control Conference, 2017. ,
Vertical Motion Simulator Experiment on Stall Recovery Guidance, NASA technical publication NASA/TP-2017-219733. Mofett Field, 2017. ,
Analysis of servo-constraint problems for underactuated multibody systems, pp.113-129, 2013. ,
Quasiconvex sum-of-squares programming, 49th IEEE Conference on Decision and Control, pp.3337-3342, 2010. ,
Modeling Full-Envelope Aerodynamics of Small UAVs in Realtime, AIAA Atmospheric Flight Mechanics Conference, pp.1-35, 2010. ,
Robust Flight Control Using Incremental Nonlinear Dynamic Inversion and Angular Acceleration Prediction Inversion and Angular Acceleration Prediction, Journal of Guidance, Control, and Dynamics, vol.33, pp.1732-1742, 2010. ,
Multivariable Feedback Control: Analysis and Design, vol.2, 2005. ,
The Cumulus v1 UAV, 2017. ,
Applied Nonlinear Control. Upper Saddle River, 1991. ,
Intelligent Flight Control Systems Evaluation for Loss-of-Control Recovery and Prevention, Journal of Guidance, Control, and Dynamics, vol.40, pp.890-904, 2016. ,
Conceptual Design and Evaluation of Upset-Recovery Systems for Civil Transport Aircraft, Journal of Aircraft, vol.55, pp.947-964, 2017. ,
On the Standard Deviations of Adjusted and Interpolated Values of an Observed Polynomial Function and its Constants and the Guidance they give Towards a Proper Choice of the Distribution of Observations, Biometrika 12.1/2, 1918. ,
Optimal aircraft control upset recovery with and without component failures, Proceedings of the American Control Conference. Anchorage, US-AK, pp.3644-3649, 2002. ,
A Nullstellensatz and a Positivstellensatz in Semialgebraic Geometry, Mathematische Annalen 207, vol.2, pp.87-97, 1974. ,
Loss-of-Control Mitigation via Predictive Cuing, Journal of Guidance, Control, and Dynamics, vol.40, 2017. ,
Stall Recovery Guidance Algorithms Based on Constrained Control Approaches, AIAA Guidance, Navigation, and Control Conference, 2016. ,
Gergonne's 1815 paper on the design and analysis of polynomial regression experiments, Historia Mathematica 1, pp.90033-90033, 1974. ,
Automatic Ground Collision Avoidance System Design, Integration, & Flight Test, IEEE Aerospace and Electronic Systems Magazine, vol.26, pp.4-11, 2011. ,
, , 2011.
Nonlinear Control Analysis and Synthesis using Sum-of-Squares Programming, p.9780542826740, 2006. ,
Stability region analysis using polynomial and composite polynomial Lyapunov functions and sum-of-squares programming, IEEE Transactions on Automatic Control, vol.53, pp.565-571, 2008. ,
LQRtrees: Feedback Motion Planning via Sums-of-Squares Verification, The International Journal of Robotics Research, vol.29, pp.1038-1052, 2010. ,
Design of a Flight Envelope Protection System for NASA's Transport Class Model, Journal of Guidance, Control, and Dynamics, vol.40, 2017. ,
On the NP-hardness of solving Bilinear Matrix Inequalities and simultaneous stabilization with static output feedback, Proceedings of the 1995 American Control Conference, pp.2525-2526, 1995. ,
Multivariate Spline-Based Adaptive Control of High-Performance Aircraft with Aerodynamic Uncertainties, Journal of Guidance, Control, and Dynamics, vol.39, pp.781-800, 2016. ,
Robust Region-of-Attraction Estimation, IEEE Transactions on Automatic Control, vol.55, issue.1, pp.137-142, 2010. ,
Local stability analysis using simulations and sum-of-squares programming, Automatica 44, vol.10, pp.2669-2675, 2008. ,
Autonomous control of unmanned combat air vehicles: Design of a multimodal control and flight planning framework for agile maneuvering, IEEE Control Systems Magazine, vol.32, pp.74-95, 2012. ,
, , 2012.
Flight Control for Multi-engine UAV Aircraft using Propulsion Control, AIAA Infotech@Aerospace, 2012. ,
Region of attraction estimation using invariant sets and rational Lyapunov functions, Automatica, vol.75, pp.37-45, 2017. ,
URL : https://hal.archives-ouvertes.fr/hal-01576290
Semidefinite Programming, SIAM Review, vol.38, pp.49-95, 1996. ,
Maximal Lyapunov Functions and Domains of Attraction for Autonomous Nonlinear Systems, Automatica 21.1, pp.90099-90107, 1985. ,
A new approach to linear regression with multivariate splines, Automatica 45, vol.12, pp.2903-2909, 2009. ,
A Multidimensional Spline-Based Global Nonlinear Aerodynamic Model for the Cessna Citation II, AIAA Atmospheric Flight Mechanics Conference, 2010. ,
On the implementation of an interiorpoint filter line-search algorithm for large-scale nonlinear programming, Mathematical Programming, Series A, vol.106, pp.25-57, 2006. ,
Defining Commercial Transport Loss-of-Control: A Quantitative Approach, AIAA Atmospheric Flight Mechanics Conference and Exhibit, pp.1-11, 2004. ,
L 1 adaptive controller for multi-input multi-output systems in the presence of nonlinear unmatched uncertainties, IEEE American Control Conference, pp.874-879, 2010. ,
Switching Control Architecture with Parametric Optimization for Aircraft Upset Recovery, Journal of Guidance, Control, and Dynamics, 2019. ,
Finite horizon backward reachability analysis and control synthesis for uncertain nonlinear systems, Proceedings of the American Control Conference, pp.5020-5026, 2019. ,
A reduced regularization strategy for economic NMPC, Journal of Process Control, vol.73, pp.46-57, 2019. ,
Bifurcation Dynamics in Control Systems, Bifurcation Control. Theory and Applications, pp.99-126, 2003. ,
Economic MPC without terminal constraints: Gradient-correcting end penalties enforce asymptotic stability, Journal of Process Control, vol.63, pp.1-14, 2018. ,
Automatic Prevention and Recovery of Aircraft Loss-of-Control by a Hybrid Control Approach, 2016. ,
Computing multiple Lyapunov-like functions for inner estimates of domains of attraction of switched hybrid systems, International Journal of Robust and Nonlinear Control, 2018. ,
, Methods of A. M. Lyapunov and their Application, 1964.
Piecewise-Polynomial Regression Trees, Statistica Sinica, vol.4, issue.1, pp.143-167, 1994. ,
Piece-wise Identification and Analysis of the Aerodynamic Coefficients, Trim Conditions, and Safe Sets of the Generic Transport Model, AIAA Guidance, Navigation, and Control Conference, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01857272
,
Full-envelope, Six-Degreesof-Freedom Trim Analysis of Unmanned Aerial Systems based on Piece-wise Polynomial Aerodynamic Coefficients, 4th Workshop on Research, 2017. ,
A new approach to linear regression with multivariate splines, Automatica, vol.45, issue.12, pp.2903-2909, 2009. ,
Fitting segmented polynomial regression models whose join points have to be estimated, Journal of the American Statistical Association, vol.68, issue.341, pp.144-147, 1973. ,
Numerical Methods for Solving Least Squares Problems, 1982. ,
, , 1981.
, An Algorithm for Linear Least Squares Problems with Equality and Nonnegativity Constraints. Mathematical Programming, vol.21, pp.98-118
AirSTAR: A UAV Platform for Flight Dynamics and Control System Testing, AIAA Aerodynamics Measurement Technology and Ground Testing Conference, 2006. ,
, Generalized Least Squares. Wiley Series in Probability and Statistics, 2004.
Aircraft System Identification: Theory and Practice, 2006. ,
Solving Least Squares Problems, Society for Industrial and Applied Mathematics, 1995. ,
Piecewise Regression, Journal of the American Statistical Association, vol.65, issue.331, pp.1109-1124, 1970. ,
Estimates for the Points of Intersection of Two Polynomial Regressions, Journal of the American Statistical Association, vol.59, issue.305, pp.214-224, 1964. ,