NDLI: Average dwell-time mMethod to L2-gain analysis and control synthesis for uncertain switched nonlinear systems

Content Provider	IEEE Xplore Digital Library
Author	Min Wang Dimirovski, G.M. Jun Zhao
Copyright Year	2008
Description	Author affiliation: Key Lab. of Integrated Autom. of Process Ind., Northeastern Univ., Shenyang (Min Wang)
Abstract	This paper addresses the $L_{2}-gain$ analysis and control synthesis problem for a class of switched nonlinear systems affected by both time-varying uncertainties and external disturbances. Firstly, the $L_{2}-gain$ for the autonomous switched disturbed uncertain system is analyzed. Then, a switched state feedback control law is designed and the $L_{2}-gain$ is analyzed for the disturbed uncertain non-autonomous switched system. Sufficient conditions for these two cases are obtained using average dwell-time method incorporated with piecewise Lyapunov functions. The corresponding closed-loop disturbed uncertain switched system and the disturbed uncertain autonomous switched system are globally exponentially stable with a weighted $L_{2}-gain$ under the sufficient conditions. Both the piecewise Lyapunov functions and the average dwell-time based switching laws are constructed based on the structural characteristics of the uncertain switched system.
Starting Page	5074
Ending Page	5079
File Size	167734
Page Count	6
File Format	PDF
ISBN	9781424420780
ISSN	07431619
DOI	10.1109/ACC.2008.4587298
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2008-06-11
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	American Automatic Control Council(AACC)
Subject Keyword	Switched systems Sufficient conditions Lyapunov method Control system analysis Nonlinear control systems Control system synthesis Nonlinear systems Time varying systems Uncertainty Uncertain systems
Content Type	Text
Resource Type	Article
Subject	Electrical and Electronic Engineering

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