Stability Analysis and H∞ Model Reduction for Switched Discrete-Time Time-Delay Systems

This paper is concerned with the problem of exponential stability and H∞ model reduction of a class of switched discrete-time systems with state time-varying delay. Some subsystems can be unstable. Based on the average dwell time technique and Lyapunov-Krasovskii functional (LKF) approach, sufficien...

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Bibliographic Details
Published in:Mathematical problems in engineering 2014, Vol.2014 (2014), p.1-15
Main Authors: Liu, Zheng-Fan, Duan, Wen-Yong, Cai, Chen-Xiao
Format: Article
Language:English
Online Access:Get full text
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Summary:This paper is concerned with the problem of exponential stability and H∞ model reduction of a class of switched discrete-time systems with state time-varying delay. Some subsystems can be unstable. Based on the average dwell time technique and Lyapunov-Krasovskii functional (LKF) approach, sufficient conditions for exponential stability with H∞ performance of such systems are derived in terms of linear matrix inequalities (LMIs). For the high-order systems, sufficient conditions for the existence of reduced-order model are derived in terms of LMIs. Moreover, the error system is guaranteed to be exponentially stable and an H∞ error performance is guaranteed. Numerical examples are also given to demonstrate the effectiveness and reduced conservatism of the obtained results.
ISSN:1024-123X
1563-5147