Robustness analysis of discrete time-delay systems

Authors:
C.-P. Huang;Y.-T. Juang
Affiliations:
Department of Information Technology, Ling Tung University, Taichung City, Taiwan, Republic of China;Department of Electrical Engineering, National Central University, Taiwan, Republic of China
Venue:
International Journal of Systems Science
Year:
2006

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Abstract

This paper presents simple delay-independent criteria for asymptotic stability of discrete time-delay systems with structured uncertainty. First we derive the criteria by the Lyapunov theorem, then the problem can be represented by a set of matrix inequalities involving the vertices of system matrices. A feasible solution, if it exists, can be obtained by the proposed alternating projection method and thus assure the stability of the considered system. The given examples illustrate that the proposed method is effective and valid.