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\(H_\infty\) fault-tolerant control for networked control systems with integral quadratic constraints performance. (Chinese. English summary) Zbl 1363.93093

Summary: For a class of networked control systems(NCSs) with time-delay and integral quadratic constraints(IQC) performance, we investigate the \(H_\infty\) fault-tolerant control under the unequal interval sampling. First of all, the relationship between the delay and the unequal interval sampling in the NCSs is analyzed and processed. On this basis, the switching model of NCSs with uncertain time-delay under unequal interval sampling is built. By constructing Lyapunov function, using \(H_\infty\) control method, and designing controller with IQC performance, a delay-dependent stability criterion based on LMI description systems is obtained. Then, the sensor fault model and the mathematical model of NCSs under the sensor fault are built. By applying the conclusion to the NCSs with sensor fault, we obtain the stability criterion of the systems under \(H_\infty\) fault tolerant control. By comparing the performances of a given example with that obtained from other existing methods, we confirm the feasibility of the presented method.

MSC:

93B36 \(H^\infty\)-control
93B35 Sensitivity (robustness)
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