Title :
Hybrid H∞ state feedback control for discrete-time switched linear systems
Author :
Lin, Hai ; Antsaklis, Panos J.
Author_Institution :
Nat. Univ. of Singapore, Singapore
Abstract :
In this paper, the co-design of continuous-variable controllers and discrete-event switching logics, both in state feedback form, for discrete-time switched linear control systems is investigated. Sufficient synthesis conditions for this co-design problem are proposed here in the form of bilinear matrix inequalities, which is based on the argument of multiple Lyapunov functions. The closed-loop switched system forms a special class of piecewise linear hybrid systems, and is shown to be exponentially stable with a finite l2 induced gain.
Keywords :
Hinfin control; Lyapunov methods; continuous time systems; control system synthesis; discrete time systems; linear matrix inequalities; linear systems; nonlinear control systems; piecewise linear techniques; state feedback; bilinear matrix inequality; closed-loop switched system; continuous-variable controller codesign problem; discrete-event switching logic; discrete-time switched linear control system; finite l2 induced gain; hybrid H∞ state feedback control; multiple Lyapunov function; piecewise linear hybrid system; Control system synthesis; Control systems; Linear feedback control systems; Linear matrix inequalities; Linear systems; Logic; Lyapunov method; Signal synthesis; State feedback; Switched systems; Lyapunov methods; Switched systems; controller synthesis; l2 induced gain;
Conference_Titel :
Intelligent Control, 2007. ISIC 2007. IEEE 22nd International Symposium on
Conference_Location :
Singapore
Print_ISBN :
978-1-4244-0440-7
Electronic_ISBN :
2158-9860
DOI :
10.1109/ISIC.2007.4450870
