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\(H_\infty\) control of quantized continuous-time networked control systems. (Chinese. English summary) Zbl 1240.93098

Summary: The control problem of continuous-time networked control systems (NCSs) with two quantizers in static form is considered, where two signals, i.e., state and control input, are quantized separately on the sides of sensors and controllers. The conditions for analyzing the \(H_\infty\) performance of quantized NCSs are presented in terms of Linear Matrix Inequalities (LMIs), which are obtained by the Lyapunov function and Jensen’s inequality methods. Then, a quantized \(H_\infty\) controller is designed by solving LMIs. A numerical example is given to illustrate the effectiveness of the proposed method.

MSC:

93B36 \(H^\infty\)-control
93B52 Feedback control
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