Title :
Observer design for linear switched systems : A common Lyapunov function approach
Author :
Chaïb, S. ; Boutat, D. ; Benali, A. ; Guillot, J-C. ; Barbot, J.-P.
Author_Institution :
Laboratoire de Vision et Robotique, Ecole Nationale Suprieure d´´Ingnieurs de Bourges, 10 Boulevard de Lahitolle, 18020, France
Abstract :
In this paper, we give sufficient conditions for the stability of a class of switched systems. Based on the symmetric part of the state space matrix and on LaSalle´s invariance principle, to ensure the asymptotic stability of switched linear systems, under a special class of switching signals. The proposed stability results are used to design an observer of switched linear systems for which the discrete state is available. Examples are given to highlight our propositions.
Keywords :
Asymptotic stability; Control systems; Linear systems; Lyapunov method; Power system stability; Signal generators; Stability criteria; Sufficient conditions; Switched systems; Symmetric matrices;
Conference_Titel :
Computer Aided Control System Design, 2006 IEEE International Conference on Control Applications, 2006 IEEE International Symposium on Intelligent Control, 2006 IEEE
Conference_Location :
Munich, Germany
Print_ISBN :
0-7803-9797-5
Electronic_ISBN :
0-7803-9797-5
DOI :
10.1109/CACSD-CCA-ISIC.2006.4776673
