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Delay-dependent robust $$H_\infty$$ control for uncertain discrete-time singular systems with time-delays. (English) Zbl 1142.93011
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:
 93B36 $$H^\infty$$-control 93C55 Discrete-time control/observation systems 93C41 Control/observation systems with incomplete information
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