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Zbl 1142.93011
Ma, Shuping; Zhang, Chenghui; Cheng, Zhaolin
Delay-dependent robust $H_\infty $ control for uncertain discrete-time singular systems with time-delays. (English)
[J] J. Comput. Appl. Math. 217, No. 1, 194-211 (2008). ISSN 0377-0427

Summary: The robust memoryless state feedback $H_{\infty }$ control problem for uncertain time-delay discrete-time singular systems is discussed. Under a series of equivalent transformation, the equivalence of this problem and the robust state feedback $H_{\infty }$ control problem for standard state-space uncertain time-delay discrete-time systems is presented. In terms of matrix inequality, the delay-dependent sufficient condition for the solution of this problem is given, the design method of the memoryless state feedback controller and the controller are also given.

MSC 2000:: *93B36 $H^\infty$-control
93C55 Discrete-time control systems
93C41 Control problems with incomplete information

Keywords: discrete-time singular system; time-delay; delay-dependent; $H_{\infty }$ control; memoryless state feedback; uncertainty

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