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Fuzzy-model-based \(\mathcal{H}_\infty\) control for discrete-time switched systems with quantized feedback and unreliable links. (English) Zbl 1448.93180

Summary: This paper addresses the issue of fuzzy-model-based \(\mathcal{H}_\infty\) control for discrete-time switched systems with quantized feedback and unreliable communication links. It is assumed that packet dropouts and quantized feedback exist simultaneously in the unreliable links of fuzzy switched systems. By constructing a suitable Lyapunov-Krasovskii functional together with an improved Jensen inequality and refined reciprocally convex matrix inequality, a new set of sufficient conditions are established. Finally, the applicability and effectiveness of the derived approaches are illustrated through a numerical example.

MSC:

93C42 Fuzzy control/observation systems
93B36 \(H^\infty\)-control
93B52 Feedback control
93C55 Discrete-time control/observation systems
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
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