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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 |

### Keywords:

networked control systems; \(H_{\infty }\) control; quantization; linear matrix inequalities; asymptotic stability; quality of services
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\textit{C. Peng} and \textit{Y.-C. Tian}, Inf. Sci. 177, No. 24, 5763--5774 (2007; Zbl 1126.93338)

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### References:

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