DocumentCode
2988693
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
fYear
2007
fDate
1-3 Oct. 2007
Firstpage
112
Lastpage
117
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;
fLanguage
English
Publisher
ieee
Conference_Titel
Intelligent Control, 2007. ISIC 2007. IEEE 22nd International Symposium on
Conference_Location
Singapore
ISSN
2158-9860
Print_ISBN
978-1-4244-0440-7
Electronic_ISBN
2158-9860
Type
conf
DOI
10.1109/ISIC.2007.4450870
Filename
4450870
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