Fundamentals of Power Electronics, ser. Power electronics, p.9780792372707, 2001. ,

A general unified approach to modelling switching-converter power stages, Power Electronics Specialists Conference, pp.18-34, 1976. ,

, Control in Power Electronics: Selected Problems, ser. Academic Press Series in Engineering, p.9780124027725, 2002.

Power electronics: converters, applications, and design, 2007. ,

Sliding mode control design principles and applications to electric drives, IEEE Transactions on Industrial Electronics, vol.40, issue.1, pp.278-324, 1993. ,

General design issues of slidingmode controllers in dcdc converters, IEEE Transactions on Industrial Electronics, vol.55, issue.3, pp.278-324, 2008. ,

Minimum time control of a buck converter by means of fuzzy logic approximation, IECON '98. Proceedings of the 24th Annual Conference of the IEEE Industrial Electronics Society (Cat. No.98CH36200), vol.2, pp.1060-1065, 1998. ,

Adaptive neuro fuzzy logic controller based current mode control for single phase power factor correction using dc-dc sepic converter, 2017 International Conference on Power and Embedded Drive Control (ICPEDC), pp.490-495, 2017. ,

Predictive control in power electronics and drives, IEEE Transactions on Industrial Electronics, vol.55, issue.12, pp.278-324, 2008. ,

Model predictive controla simple and powerful method to control power converters, IEEE Transactions on Industrial Electronics, vol.56, issue.6, pp.1826-1838, 2009. ,

Practical optimal state feedback control law for continuous-time switched affine systems with cyclic steady state, International Journal of Control, vol.82, issue.7, pp.1357-1376, 2009. ,

URL : https://hal.archives-ouvertes.fr/hal-00384680

Hybrid optimal control with singular arcs for dc-dc power converters, 52nd IEEE Conference on Decision and Control, pp.103-108, 2013. ,

URL : https://hal.archives-ouvertes.fr/hal-00986754

An optimal control application in power electronics using numerical algebraic geometry, 2008 American Control Conference, pp.2221-2226, 2008. ,

Nonlinear and linear robust control of switching power converters, Proceedings of the 1999 IEEE International Conference on, vol.1, pp.808-813, 1999. ,

Robust switched current control of converters, IET Control Theory Applications, vol.7, issue.10, pp.1751-8644, 2013. ,

Passivity-based controllers for the stabilization of dc-to-dc power converters, Proceedings of the 34th IEEE Conference on, vol.4, pp.3471-3476, 1995. ,

A hybrid passivity based controller design for a three phase voltage source reversible boost type rectifier, Proceedings of the 37th IEEE Conference on, vol.2, 1998. ,

Synthesis of trajectory-dependent control lyapunov functions by a single linear program, Hybrid Systems: Computation and Control, pp.978-981, 2009. ,

On parameterized lyapunov and control lyapunov functions for discrete-time systems, 49th IEEE Conference on Decision and Control (CDC), pp.3264-3270, 2010. ,

Convex computation of the region of attraction of polynomial control systems, IEEE Transactions on Automatic Control, vol.59, issue.2, pp.18-9286, 2014. ,

URL : https://hal.archives-ouvertes.fr/hal-00723019

Adaptive control of the boost converter in discontinuous conduction mode, IFAC Proceedings Volumes, vol.44, pp.1474-6670, 2011. ,

A general unified approach to modelling switching-converter power stages, 1976 IEEE Power Electronics Specialists Conference, pp.18-34, 1976. ,

A unified analysis of pwm converters in discontinuous modes, IEEE Transactions on Power Electronics, vol.6, issue.3, pp.885-8993, 1991. ,

Hybrid dynamical systems, IEEE Control Systems Magazine, vol.29, issue.2, pp.28-93, 2009. ,

Voltage regulation of a boost converter in discontinuous conduction mode: A simple robust adaptive feedback controller, IEEE Control Systems Magazine, vol.33, issue.3, pp.55-65, 2013. ,

URL : https://hal.archives-ouvertes.fr/hal-00927640

An equivalent continuous model for switched systems, Systems and Control Letters, vol.62, issue.2, pp.167-6911, 2013. ,

Multilevel inverters: A survey of topologies, controls, and applications, Industrial Electronics, IEEE Transactions on, vol.49, issue.4, pp.278-324, 2002. ,

Port-hamiltonian systems theory: An introductory overview, Foundations and Trends? in Systems and Control, vol.1, issue.2-3, pp.2325-6818, 2014. ,

A result on common quadratic lyapunov functions, IEEE Transactions on Automatic Control, vol.48, issue.1, pp.18-9286, 2003. ,

Stability of switched systems: A lie-algebraic condition, Systems & Control Letters, vol.37, issue.3, pp.12-14, 1999. ,

Persistent disturbance attenuation properties for networked control systems, CDC. 43rd IEEE Conference on, vol.1, pp.953-958, 2004. ,

Observability for switched linear systems: Characterization and observer design, IEEE Transactions on, vol.58, issue.4, pp.18-9286, 2013. ,

Perspectives and results on the stability and stabilizability of hybrid systems, Proceedings of the IEEE, vol.88, pp.18-9219, 2000. ,

Global optimization with polynomials and the problem of moments, SIAM Journal on Optimization, vol.11, issue.3, pp.796-817, 2001. ,

Ideals, Varieties, and Algorithms: An Introduction to Computational Algebraic Geometry and Commutative Algebra, ser, p.9780387946801, 1997. ,

Set membership identification of nonlinear systems, Automatica, vol.40, issue.6, pp.5-1098, 2004. ,

Direct filtering: A new approach to optimal filter design for nonlinear systems, IEEE Transactions on Automatic Control, vol.58, issue.1, pp.18-9286, 2013. ,

Direct design from data of optimal filters for lpv systems, Systems and Control Letters, vol.59, issue.1, pp.167-6911, 2010. ,

An infinite-time relaxation theorem for differential inclusions, Proceedings of the American Mathematical Society, vol.131, issue.2, pp.487-500, 2003. ,

Optimal control of switched systems: A polynomial approach, Proceedings of the 17th IFAC World Congress, pp.7808-7813, 2008. ,

URL : https://hal.archives-ouvertes.fr/hal-01204891

A polynomial approach for optimal control of switched nonlinear systems, International Journal of Robust and Nonlinear Control, vol.24, issue.12, pp.1099-1239, 2014. ,

URL : https://hal.archives-ouvertes.fr/hal-01204891

An alternative approach for non-linear optimal control problems based on the method of moments, Computational Optimization and Applications, vol.38, pp.926-6003, 2007. ,

Algebraic and geometric properties of equilibria in cyclic switched dynamic systems, International Journal of Robust and Nonlinear Control, vol.27, issue.13, pp.2218-2233 ,

URL : https://hal.archives-ouvertes.fr/hal-01360201

Parameter dependent lyapunov functions for discrete time systems with time varying parametric uncertainties, Systems & Control Letters, vol.43, issue.5, pp.167-6911, 2001. ,

Parameter-dependent lyapunov functions for linear systems with constant uncertainties, IEEE Transactions on Automatic Control, vol.54, issue.10, pp.18-9286, 2009. ,

Lyapunov stability, Piecewise Linear Control Systems: A Computational Approach, pp.41-84, 2003. ,

A unified hybrid control for dc/dc power converters using port-hamiltonian formulation, IECON 2017 -43rd Annual Conference of the IEEE Industrial Electronics Society, pp.4851-4856, 2017. ,

URL : https://hal.archives-ouvertes.fr/hal-01985244

Multicellular converter: A benchmark for control and observation for hybrid dynamical systems, Hybrid Dynamical Systems, ser. Lecture Notes in Control and Information Sciences, vol.457 ,

, , pp.978-981, 2015.

On the stabilisation of switching electrical power converters, Hybrid Systems: Computation and Control: 8th International Workshop, HSCC 2005, pp.184-197, 2005. ,

URL : https://hal.archives-ouvertes.fr/hal-00772735

Exact relaxations of non-convex variational problems, Optimization Letters, vol.2, issue.4, pp.505-519, 2008. ,

Interior-point Polynomial Algorithms in Convex Programming, ser, Studies in Applied Mathematics. Society for Industrial and Applied Mathematics, 1994. ,

A new polynomial-time algorithm for linear programming, Combinatorica, vol.4, issue.4, pp.1439-6912, 1984. ,

, Convex optimization. Cambridge University Press, p.9780521833783, 2004.

Yalmip : A toolbox for modeling and optimization in matlab, 2004 IEEE International Conference on Robotics and Automation, pp.284-289, 2004. ,

The mosek interior point optimizer for linear programming: An implementation of the homogeneous algorithm, pp.197-232, 2000. ,

Interior point methods on gpu with application to model predictive control, 2014. ,

Modified pulse adjustment technique with variable states to control dc-dc converters operating in discontinuous conduction mode and driving constant power loads, 2006 1ST IEEE Conference on Industrial Electronics and Applications, pp.1-6, 2006. ,

High power factor flyback converter for led driver with boundary conduction mode control, 2010 5th IEEE Conference on Industrial Electronics and Applications, pp.2088-2093, 2010. ,

An accurate, low-voltage, cmos switching power supply with adaptive on-time pulse-frequency modulation (pfm) control, IEEE Transactions on Circuits and Systems I: Regular Papers, vol.54, pp.1549-8328, 2007. ,

Switching and conduction loss analysis of buck converters operating in dcm-only scenarios, 2013 IEEE International Symposium on Circuits and Systems (ISCAS2013), pp.921-924, 2013. ,

Applications of describing functions to estimate the continuous and discontinuous conduction mode for a dc-to-dc buck converter, IEE Proceedings -Electric Power Applications, vol.147, pp.1350-2352, 2000. ,

Two-loop adaptive and nonlinear control of the dc-dc boost converter in discontinuous conduction mode, 4th Annual International Power Electronics, Drive Systems and Technologies Conference, pp.164-169, 2013. ,

A small-signal model for sepic, cuk and flyback converters as power factor preregulators in discontinuous conduction mode, Proceedings of IEEE Power Electronics Specialist Conference -PESC '93, pp.735-741, 1993. ,

Estimative current mode control technique for dc-dc converters operating in discontinuous conduction mode, IEEE Power Electronics Letters, vol.2, issue.1, pp.1540-7985, 2004. ,

The discontinuous conduction mode sepic and cuk power factor preregulators: Analysis and design, IEEE Transactions on Industrial Electronics, vol.44, issue.5, pp.630-637, 1997. ,

A general unified approach to modelling switching dc-to-dc converters in discontinuous conduction mode, 1977 IEEE Power Electronics Specialists Conference, pp.36-57, 1977. ,

Discontinuous inductor current in the optimum topology switching converter, 1978 IEEE Power Electronics Specialists Conference, pp.105-123, 1978. ,

Computer-aided analysis of regulated switched power supplies with unified baseband models for continuous and discontinuous conduction mode, INTELEC '85 -Seventh International Telecommunications Energy Conference, pp.331-338, 1985. ,

Discontinuous conduction mode in the sepic converter, Proceedings. Electrotechnical Conference Integrating Research, Industry and Education in Energy and Communication Engineering, pp.38-42, 1989. ,

A high efficiency, soft switching dc-dc converter with adaptive current-ripple control for portable applications, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.53, issue.4, pp.1549-7747, 2006. ,

Numerical state-space averagevalue modeling of pwm dc-dc converters operating in dcm and ccm, IEEE Transactions on Power Electronics, vol.21, issue.4, pp.885-8993, 2006. ,

Hybrid predictive control of a dcdc boost converter in both continuous and discontinuous current modes of operation, Optimal Control Applications and Methods, vol.32, issue.3, pp.270-284, 2011. ,

Unified model of boost converter in continuous and discontinuous conduction modes, IET Power Electronics, vol.9, issue.10, pp.1755-4535, 2016. ,

Hysteresis switching control of the uk converter operating in discontinuous conduction modes, IEEE Transactions on Circuits and Systems II: Express Briefs, vol.64, issue.9, pp.1549-7747, 2017. ,

Stabilisation of power converters with uncertain equilibrium: An adaptive switched approach with guarantee of stability in continuous and discontinuous conduction modes, 20th IFAC World Congress, vol.50, pp.2405-8963, 2017. ,

URL : https://hal.archives-ouvertes.fr/hal-01567449

Current sensorless solution for pfc boost converter operating both in dcm and ccm, 21st Mediterranean Conference on Control and Automation, pp.137-142, 2013. ,

Unified control of a buck converter for wide-load-range applications, IEEE Transactions on Industry Applications, vol.51, issue.5, pp.93-9994, 2015. ,

Observer design for dc/dc power converters with bilinear averaged model, 4th IFAC Conference on Analysis and Design of Hybrid Systems, vol.45, pp.1474-6670, 2012. ,

Development of current measurement techniques for high frequency power converters, 2016 IEEE International Telecommunications Energy Conference (INTELEC), pp.1-7, 2016. ,

Switching observers for continuoustime and discrete-time linear systems, Proceedings of the 2001 American Control Conference. (Cat. No.01CH37148), vol.3, pp.2516-2521, 2001. ,

A hybrid observer for a class of dc-dc power converters, 2013 American Control Conference, pp.6225-6230, 2013. ,

URL : https://hal.archives-ouvertes.fr/hal-00799362

Nonlinear observer for autonomous switching systems with jumps, Hybrid Dynamical Systems: Observation and Control, pp.103-128, 2015. ,

System Identification: Theory for the User, ser. Prentice Hall information and system sciences series, p.9780136566953, 1999. ,

A fast approximation algorithm for set-membership system identification, IFAC Proceedings Volumes, vol.44, pp.1474-6670, 2011. ,

Principal Component Analysis, ser, Springer Series in Statistics, p.9780387954424, 2002. ,

Nonlinear dynamic system identification, Nonlinear System Identification: From Classical Approaches to Neural Networks and Fuzzy Models, pp.547-577, 2001. ,

Digital control strategies for DC/DC SEPIC converters towards integration, 2012. ,

URL : https://hal.archives-ouvertes.fr/tel-00760064

The kalman filter: An introduction to concepts, Autonomous robot vehicles, pp.194-204, 1990. ,

Simulation and the Monte Carlo Method, 1st, p.471089176, 1981. ,

Fundamentals of artificial neural networks, 1995. ,

A set membership approach to oxygen transport modeling with unmodeled dynamics, 2015 IEEE 2nd Colombian Conference on Automatic Control (CCAC), pp.1-6, 2015. ,