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论文类型：期刊论文

发表时间：2012-05-01

发表刊物：INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL

收录刊物：SCIE、EI、Scopus

卷号：8

期号：5A

页面范围：3431-3440

ISSN号：1349-4198

关键字：Model reduction; Discrete-time switched systems; State delay; LMIs

摘要：This paper is concerned with the problem of delay-dependent exponential H infinity model reduction for discrete-time switched delay systems under switching signals with average dwell time (ADT). The objective is to construct a reduced-order model, winch ensures that the resulting error system under switching signal with ADT is exponentially stable with an H-infinity norm bound. A weighting factor cm is introduced to construct a Lyapunov function for switched delay systems such that ADT approach is used with piecewise Lyapunov matrices instead of common Lyapunov function matrices. Furthermore, sufficient conditions for the solvability of this problem are obtained in terms of strict linear matrix inequalities (LMIs), which lessen the computation complexity. A numerical example is provided to show the effectiveness of the developed method.