Abstract
The problem of quantized feedback control for discrete-time singular systems is discussed in this study. Firstly, by defining a quantization dependent Lyapunov function, one novel sufficient condition for the discrete-time singular system to be admissible is derived in terms of the linear matrix inequalities (LMIs). Then, a sufficient condition for the existence of the quantized state feedback controller is proposed in terms of strict LMIs. Finally, a numerical example is provided to demonstrate the effectiveness of the proposed approach.
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