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Indexed by:期刊论文

Date of Publication:2012-05-01

Journal:INTERNATIONAL JOURNAL OF INNOVATIVE COMPUTING INFORMATION AND CONTROL

Included Journals:SCIE、EI、Scopus

Volume:8

Issue:5A

Page Number:3431-3440

ISSN No.:1349-4198

Key Words:Model reduction; Discrete-time switched systems; State delay; LMIs

Abstract: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.