## 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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### References:

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