Title :
Exponential stabilization of switched linear systems
Author :
Raouf, J. ; Michalska, H.
Author_Institution :
Dept. of Electr. & Comput. Eng., Mcgill Univ., Montreal, QC, Canada
Abstract :
Exponential stability and stabilization of a class of continuous-time linear switched systems is addressed here. Based on the multiple Lyapunov functions method, and a given class of Metlzer matrices, new sufficient conditions are developed to design a switching rule, that employs only the available feedback information, and an associated state or output feedback controller that jointly guarantee global exponential stability of the studied class of systems. Examples are provided to demonstrate the effectiveness of the proposed methods.
Keywords :
Lyapunov methods; asymptotic stability; continuous time systems; control system synthesis; linear systems; matrix algebra; state feedback; Metlzer matrices; associated state feedback; continuous-time linear switched systems; exponential stabilization; feedback information; global exponential stability; multiple Lyapunov functions method; output feedback controller; sufficient conditions; switched linear systems; switching rule design; Control systems; Feedback control; Linear matrix inequalities; Linear systems; Lyapunov method; Output feedback; Stability; State feedback; Sufficient conditions; Switched systems; Linear matrix inequalities; Optimization; Stabilization; Static output feedback control; Switched systems;
Conference_Titel :
Decision and Control, 2009 held jointly with the 2009 28th Chinese Control Conference. CDC/CCC 2009. Proceedings of the 48th IEEE Conference on
Conference_Location :
Shanghai
Print_ISBN :
978-1-4244-3871-6
Electronic_ISBN :
0191-2216
DOI :
10.1109/CDC.2009.5400383
