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Networked \(H_{\infty }\) control of linear systems with state quantization. (English) Zbl 1126.93338

Summary: This paper addresses the problem of \(H_{\infty }\) controller design for linear systems over digital communication networks. A new model is proposed to describe both the network conditions and the state quantization of the networked control systems in a unified framework. From this model, a quantized state feedback strategy is developed for global and asymptotical stabilization of the networked control systems. The same \(H_{\infty }\) disturbance attenuation level as that in the case without quantization is achieved. Numerical examples are given to demonstrate the effectiveness of the proposed method.

MSC:

93B36 \(H^\infty\)-control
93B52 Feedback control
93D20 Asymptotic stability in control theory
93C05 Linear systems in control theory
93C15 Control/observation systems governed by ordinary differential equations
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