Hybrid control of a multicellular converter

In this paper a new switching scheme for modelling multicellular converters is proposed. We consider a converter with two cells which is represented as a hybrid system with four modes of operation. The operation modes of the system are governed by the adjustable reference voltage and a reference current, which are calculated by means of an energy balance principle. This study is justified by the hybrid behavior of the system considered, i.e., it presents discrete and continuous variables which represent the state of the switches and the evolution of the current and the terminal voltage of the floating condensers, respectively. The synthesis of the control is based on the determination of the switching sequences, ensuring the stability and the integrity of the switches.

[1]  S.R. Sanders,et al.  Lyapunov-based control for switched power converters , 1990, 21st Annual IEEE Conference on Power Electronics Specialists.

[2]  Karl Henrik Johansson,et al.  Dynamical properties of hybrid automata , 2003, IEEE Trans. Autom. Control..

[3]  Noureddine Manamanni,et al.  Exact differentiation and sliding mode observers for switched Lagrangian systems , 2006 .

[4]  Frédéric Kratz,et al.  An Optimal Control Approach for Hybrid Systems , 2003, Eur. J. Control.

[5]  A. Pnueli,et al.  Effective synthesis of switching controllers for linear systems , 2000, Proceedings of the IEEE.

[6]  P. Gupta,et al.  A stable energy-based control strategy for DC-DC boost converter circuits , 2004, 2004 IEEE 35th Annual Power Electronics Specialists Conference (IEEE Cat. No.04CH37551).

[7]  Jamal Daafouz,et al.  Stability analysis and control synthesis for switched systems: a switched Lyapunov function approach , 2002, IEEE Trans. Autom. Control..

[8]  Ekaitz Zulueta,et al.  HYBRID MODELING OF OPEN LOOP DC-DC CONVERTERS , 2003 .

[9]  Jean Buisson,et al.  Analyse des commutations dans un système avec des interrupteurs de l'électronique de puissance par une approche automate hybride , 2005 .

[10]  Philippe Manon,et al.  Optimal control of hybrid dynamical systems: application in process engineering , 2002 .

[11]  Guillaume Gateau.  Contribution à la commande des convertisseurs statiques multicellulaires série : commande non linéaire et commande floue , 1997 .

[12]  Johannes Schumacher,et al.  An Introduction to Hybrid Dynamical Systems, Springer Lecture Notes in Control and Information Sciences 251 , 1999 .