NDLI: Stabilization and performance analysis for a class of switched systems

Content Provider	IEEE Xplore Digital Library
Author	Lei Fang Hai Lin Antsaklis, P.J.
Copyright Year	2004
Description	Author affiliation: Dept. of Electr. Eng., Notre Dame Univ., IN, USA (Lei Fang; Hai Lin; Antsaklis, P.J.)
Abstract	This paper investigates stability and control design problems with performance analysis for discrete-time switched linear systems. The switched Lyapunov function method is combined with Finsler's lemma to generate various tests in the enlarged space containing both the state and its time difference, allowing extra degree of freedom for stability analysis and control design. Two performance measures being considered are the decay rate and the input-output performance. A new LMI based stability test for the existence of switched Lyapunov functions is first developed. If a switched Lyapunov function exists, asymptotic stability of the switched system also implies its exponential stability. An LMI optimization problem is then formulated to find a bound on the decay rate of the system. To attain the bound, state feedback control gains are designed. Using the same framework and the well-known S-procedure, a generalized sufficient LMI condition is obtained which guarantees a /spl gamma/-performance of the closed-loop switched systems subject to input disturbances.
Starting Page	3265
Ending Page	3270
File Size	147020
Page Count	6
File Format	PDF
ISBN	0780386825
ISSN	01912216
DOI	10.1109/CDC.2004.1428980
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2004-12-14
Publisher Place	Bahamas
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Performance analysis Switched systems Lyapunov method Linear systems Stability analysis Control design Asymptotic stability Testing Algebra State feedback
Content Type	Text
Resource Type	Article

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