Stability Analysis and H∞ Model Reduction for Switched Discrete-Time Time-Delay Systems. (26th November 2013)

• Record Type: Journal Article
• Authors: Liu, Zheng-Fan; Cai, Chen-Xiao; Duan, Wen-Yong
• Other Names: Zheng Bo-Chao Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2014(2014)
• Publication Date: 2013-11-26
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2014/101473
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : 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.