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Type: Journal article
Title: Stability and H∞ control of discrete-time switched systems via one-step ahead Lyapunov function approach
Other Titles: Stability and H-infinity control of discrete-time switched systems via one-step ahead Lyapunov function approach
Author: Wen, J.
Nguang, S.
Shi, P.
Zhao, X.
Citation: IET Control Theory and Applications, 2018; 12(8):1141-1147
Publisher: Institution of Engineering and Technology
Issue Date: 2018
ISSN: 1751-8644
Statement of
Jiwei Wen , Sing Kiong Nguang, Peng Shi, Xudong Zhao
Abstract: This study concerns the problems of stability and H ∞ control for a class of discrete-time switched systems by introducing a one-step ahead Lyapunov function (LF) approach. The one-step ahead LF is a function of future states. The design objectives are to reduce the conservatism of the stability criterion developed for arbitrarily switched systems and further get a better disturbance attenuation capability. The distinguishing feature is that the one-step ahead LF has no structural constraint, such as, diagonal structure, and the resulting analysis and synthesis criteria can cover the non-monotonic method considering two samples variation, i.e. V k+2 2 - V k 2 +V k+1 1 -V k 1 <;0 or V k+2 -V k <;0 as a special case. The obtained results can be easily extended to the multi-step ahead case. Numerical examples are included to demonstrate the effectiveness of the developed method.
Rights: © The Institution of Engineering and Technology 2018
DOI: 10.1049/iet-cta.2017.1026
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Appears in Collections:Aurora harvest 8
Electrical and Electronic Engineering publications

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