Title :
Switching Stabilization and l2 Gain Performance Controller Synthesis for Discrete-Time Switched Linear Systems
Author :
Lin, Hai ; Antsaklis, Panos J.
Author_Institution :
Dept. of Electr. & Comput. Eng., National Univ. of Singapore
Abstract :
In this paper, the switching controller synthesis problem for a class of discrete-time switched linear systems is considered. In particular, a state dependent switching law is designed to exponentially stabilize the switched systems, while a finite l2 induced gain is achieved. Sufficient synthesis conditions are proposed as bilinear matrix inequalities, which are derived based on multiple Lyapunov functions
Keywords :
Lyapunov methods; asymptotic stability; control system synthesis; discrete time systems; linear matrix inequalities; linear systems; bilinear matrix inequality; discrete-time switched linear systems; exponential stability; gain performance controller synthesis; multiple Lyapunov functions; state dependent switching law; sufficient synthesis conditions; switched systems; switching controller synthesis; switching stabilization; Books; Control system synthesis; Linear matrix inequalities; Linear systems; Lyapunov method; Performance gain; Signal synthesis; Stability analysis; Switched systems; USA Councils;
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.2006.377641
