Title :
Dynamic Controller of Switched Linear Systems : a Common Lyapunov Function Approach
Author :
Chaib, Salim ; Boutat, Driss ; Benali, Abderraouf ; Kratz, Frédéric
Author_Institution :
Lab. de Vision et Robotique, Ecole Nationale Suprieure d´´Ingnieurs de Bourges
Abstract :
This paper is devoted to the problem of design a dynamic controller of switched linear systems. In the first part of this paper, we give some remarks about the influences of switching signal on the asymptotic stability of switched systems. We give a practical example to generate a large class of switching signals. The second part is devoted to the switched dynamic controller design, based on a common Lyapunov function approach. A sufficient condition is formulated as an LMI problem for the switched controller design under arbitrary switching. A stabilizing switched controller with regional pole placements is also formulated as a convex problem, an LMI approach is used to derive the switched dynamic controller with performance limitations
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; control system synthesis; linear matrix inequalities; Lyapunov function; asymptotic stability; linear matrix inequality; sufficient condition; switched dynamic controller design; switched linear systems; switching signals; Asymptotic stability; Control systems; Hybrid power systems; Linear systems; Lyapunov method; Signal generators; State feedback; Sufficient conditions; Switched systems; Vehicle dynamics;
Conference_Titel :
Decision and Control, 2006 45th IEEE Conference on
Conference_Location :
San Diego, CA
Print_ISBN :
1-4244-0171-2
DOI :
10.1109/CDC.2006.376905