Abstract

In this paper, the control problem for discrete-time singular time-delay systems with actuator saturation is considered. Firstly, a sufficient delay-dependent condition, under which such type discrete-time singular system with actuator saturation is regular, causal, and stable, is proposed by a saturation-dependent Lyapunov function. Then, based on the derived condition, the design method of controller is developed by using linear matrix inequalities (LMI) optimization problem without any decompositions of system matrices and equivalent transformation. Finally, a numerical example is given to illustrate the effectiveness of the proposed methods.

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