S. Almér, H. Fujioka, U. Jönsson, C. Y. Kao, D. Patino et al., Hybrid control techniques for switchedmode DC-DC converters part i : The step-down topology Nonlinear and adaptive control with applications A simple model estimator for multiple model control. buck dc-dc converter application A unified discrete-time statespace model for switching converters A new structure for a non linear oberver : a sliding mode based solution Design of a robust voltage controller for a buck-boost converter using µ-synthesis Averaged switch modeling of boundary conduction mode Dc-to-Dc converters, American Control Conference 11th IEEE Mediterranean Conference on Control and Automation European Control Conference 27th Annual Conference of the IEEE Industrial Electronics Society, pp.5450-5457, 1994.

B. Cuk, R. D. Middlebrookdj01, ]. Davoudi, J. Jatskevichdjr06, ]. A. Davoudi et al., A general unified approach to modeling switching DC-to-DC converters in discontinuous conduction mode Realization of parasitics in statespace average-value modeling of PWM DC-DC converters Numerical statespace average-value modeling of PWM DC-DC converters operating in DCM and CCM Nonlinear observers design for state estimation of discrete-time nonlinear systems Interconnection and Damping Assignment Passivity-Based Control for Port- Hamiltonian mechanical systems with only position measurements, IEEE Power Electronics Specialist Conference European Control Conference Conference on Decision and Control, pp.36-57, 1977.

K. Ejjabraoui, . Supelec, . Gif-sur-yvette, ]. R. Franceeri97, A. J. Escobar et al., Advances in averaged switch modeling A Hamiltonian viewpoint in the modeling of switching power converters Sampled-data modeling and analysis of closed-loop PWM DC-DC converters Fixed frequency sliding mode control for boost converter, 4th Brazilian Congress of Power Electronics, page Invited paper IEEE International Symposium on Circuits and Systems IEEE EPE-PEMC, pp.49445-452, 1997.

J. [. Franklin, M. L. Powell, and . Workman, Digital Control of Dynamic Systems, p.23, 1990.

]. T. Gey05, ]. T. Geyergpm08, G. Geyer, M. Papafotiou, . Morarigsz02-]-i et al., Hybrid model predictive control of the step-down dc-dc converter Model uncertainty and robust control of paralleled dc/dc converters High Performance Digital Controller for High- Frequency Low-Power Integrated DC/DC SMPS Low-frequency sampled-data models of switched mode DC-DC converters, Low Complexity Model Predictive Control in Power Electronics and Power Systems IEE International Conference on Power Electronics, Machines and Drives IEEE Power Electronics Specialists Conference, pp.281112-1124, 1989.

M. Hgoclle10, R. Hernandez-gomez, F. Ortega, G. Lamnabhi-lagarrigue, and . Escobar, Adaptive PI stabilization of switched power converters, IEEE Transactions on Control Systems Technology, vol.18, issue.143, pp.688-698, 2010.

F. [. He, ]. S. Luohxl89, H. Huang, Y. Xu, and . Liu, Sliding-mode control for dc-dc converters with constant switching frequency Sliding mode controlled´cukcontrolled´ controlled´cuk switching regulator with fast response and first order dynamic characteristic, IEE Proceedings on Control Theory Applications IEEE PESC Records, pp.37-45, 1989.

R. [. Jayawardhana, E. Ortega, F. Garcia-canseco, and . Castanos, Passivity of nonlinear incremental systems: Application to PI stabilization of nonlinear RLC circuits, Systems & Control Letters, vol.56, issue.9-10, pp.618-622, 2007.
DOI : 10.1016/j.sysconle.2007.03.011

URL : https://hal.archives-ouvertes.fr/hal-00268715

J. [. Krein, R. M. Bentsman, B. L. Bass, and . Lesieutre, On the use of averaging for the analysis of power electronic systems, IEEE Transactions on Power Electronics, vol.5, issue.2, pp.182-190, 1990.
DOI : 10.1109/63.53155

]. H. Kha02, . C. Khalil-]-m, S. K. Kim, H. G. Park, S. S. Ahn et al., Nonlinear systems Robust Passivity Based Control with Sliding Mode for DC-to-DC Converters, IEEE International Conference on Industrial Technology, pp.149-155, 2002.

R. [. Lehman and . Bass, Switching frequency dependent averaged models for PWM DC-DC converters, IEEE Transactions on Power Electronics, vol.11, issue.1, pp.89-98, 1985.
DOI : 10.1109/63.484421

[. Linares-flores, J. Reger, and H. Sira-ramírez, Load torque estimation and Passivity-Based Control of a Boost- Converter/DC-motor combination A novel voltage-control scheme for low voltage dc-dc converters with fast transient recovery, IEEE International Symposium on Circuits and Systems, pp.1398-1405, 1997.

J. [. Leyva-ramos and O. Morales-saldana, ??-Stability analysis for current-programmed regulators, Applied Mathematics and Computation, vol.120, issue.1-3, pp.3-14, 2001.
DOI : 10.1016/S0096-3003(99)00287-8

]. J. Mag04 and . Magni, Linear fractional representation toolbox. modelling, order reduction, gain scheduling ONERA -Systems Control and Flight Dynamics Department, p.88, 2004.

S. [. Middlebrook and . Cambronne, A general unified approach to modeling switching power converter stages Pros- pective document seeds, IEEE PESC Rec, pp.18-34, 1976.

A. [. Mahdavi, ]. J. Emaadi, A. Mahdavi, M. D. Emaadi, M. Bellar et al., Sliding-Mode Control of PWM´CukPWM´ PWM´Cuk converter Analysis of power electronic converters using the generalized state-space averaging approach IEEE Transactions on Circuits and Systems I : Fundamental Theory and Applications Application of state space averaging method to sliding mode control of pwm dcdc converters Performance optimization of´cukof´ of´cuk converters by sliding-mode control, IEEE Industry Applications Society Annual MeetingNay73] A. H. Nayfeh. Perturbation Methods, pp.97-97767, 1973.

]. G. Bruno-nicolasntm01, R. Nirgude, N. Tirumala, and . Mohan, Définition de lois de commutation à l'aide de la théorie des modes glissants A new, large-signal average model for single-switch dc-dc converters operating in both CCM and DCM, Contribution à la commande des convertisseurs statiques IEEE Power Electron. Spec. Conf, pp.1736-1741, 1996.

R. Ortega and E. Garcia-canseno, Interconnection and Damping Assignment Passivity-Based Control: A Survey, European Journal of Control, vol.10, issue.5, pp.432-450, 2004.
DOI : 10.3166/ejc.10.432-450

URL : http://repository.tue.nl/713121

R. C. Olalla, A. Leyva, P. Aroudi, I. Garcés, and . Queinnec, LMI robust control design for boost PWM converters, IET Power Electronics, vol.3, issue.1, pp.75-85, 2010.
DOI : 10.1049/iet-pel.2008.0271

[. Ortega, A. Loria, J. Per, H. Nicklasson, G. Sira-ramírez et al., Passivity-based control of Euler-Lagrange systems . Mechanical, electrical and electromechanical applications Hybrid modeling and optimal control of switch-mode dc-dc converters Growth rate conditions for stability of cascaded time-varying systems, IEEE Workshop on Computers in Power Electron, pp.125-153, 1998.

A. Radke, Z. Gao-ramírez, R. Ortegarsh03-]-v, J. Rajasekaran, B. S. Sun et al., Passivity-based controllers for the stabilization of DC-to-DC power converters Bilinear discrete-time modeling for enhanced stability prediction and digital control design Load current control for three-phase power converter svpwm with current-regulation Variable Structure Systems : from Principles to Implementation Modeling of PWM converters in discontinuous conduction mode : A reexamination, American Control Conference Conference on Decision and Control 14th International Power Electronics and Motion Control Conference (EPE/PEMC) IEEE Power Electronics Specialist ConferenceSMG + 01] J. Sun, D. M. Mitchell, M. F. Greuel, P. T. Krein, and R. M. Bass. Averaged modeling of PWM converters operating in discontinuous conduction mode. IEEE Transactions on Power Electronics, pp.5183-5188, 1995.

J. [. Sanders, X. Z. Noworolski, G. C. Liu, and . Verghese, Generalized averaging method for power conversion circuits, IEEE Transactions on Power Electronics, vol.6, issue.2, pp.251-259, 1991.
DOI : 10.1109/63.76811

]. E. Son03 and . Sontag, A remark on the converging-input convergingoutput property, IEEE Transactions on Automatic Control, vol.48, issue.2, pp.13-314, 2003.

R. [. Seibert, . Suarezss09-]-r, K. Stadlmayr, and . Su, Global stabilization of nonlinear cascade systems, European Control Conference, pp.347-352, 1990.
DOI : 10.1016/0167-6911(90)90056-Z

G. [. Sanders and . Verghese, Lyapunov-based control for switched power converters, IEEE Transactions on Power Electronics, vol.7, issue.1, pp.17-24, 1992.
DOI : 10.1109/63.124573

Y. [. Tan, C. K. Lai, . C. Tsetlt08-]-s, Y. M. Tan, C. K. Lai et al., A unified approach to the design of PWM-based sliding-mode voltage controllers for basic DC-DC converters in continuous conduction mode General design issues of sliding-mode controllers in dc-dc converters, 76 [UI08] M. Usman-Iftikhar. Contribution à la modélisation des convertisseurs continu, pp.1816-1827, 2006.

]. V. Utk93 and . Utkin, Sliding mode control design principles and applications to electric drives, IEEE transactions on Industrial Electronics, vol.40, issue.65, pp.23-36, 1993.

M. [. Verghese, J. G. Elbuluk, . Kassakianvor90a-]-v, and . Vorpérian, A general approach to sample-data modeling for power electronic circuits Simplified analysis of PWM converters using model of PWM switch, part i : Continuous conduction mode, IEEE Transactions on Power Electronics IEEE Trans. Aerosp. Electron. Syst, vol.1, issue.263, pp.76-89, 1986.

]. V. Vor06 and . Vorpérian, Analyzing the sepic converter. Available online at "www.switchingpowermagazine.com, IEEE Trans. Aerosp. Electron. Syst, vol.26, issue.13, pp.497-505, 1990.

[. Vlad, P. Rodriguez-ayerbe, E. Godoy, and P. Lefranc, A hybrid model for Buck converter operating in continuous and discontinuous conduction modes, IECON 2010, 36th Annual Conference on IEEE Industrial Electronics Society, 1928.
DOI : 10.1109/IECON.2010.5675187

URL : https://hal.archives-ouvertes.fr/hal-00527962

R. [. Wester and . Middlebrook, Low frequency characterization of switched DC-DC converters, IEEE Transactions on Aerospace and Electronic Systems, issue.93, pp.376-385, 1973.