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Reliable control for interval time-varying delay systems subjected to actuator saturation and stochastic failure. (English) Zbl 1276.93071

Summary: This paper is devoted to the problem of reliable control for interval time-varying delay systems subjected to actuator saturation and stochastic failure. A new practical actuator fault model is proposed by assuming that the actuator fault obeys a certain probabilistic distribution. An optimization problem with LMI constraints is formulated to determine the largest contractively invariant ellipsoid. Delay distribution and fault distribution-dependent estimations of the domain of attraction are obtained by using LMI techniques and an optimization method, such that the mean-square stability of the systems can be guaranteed for given \(H_{\infty }\) performance index \(\gamma \). Two illustrative examples are exploited to show the effectiveness of the proposed design procedures.

MSC:

93E03 Stochastic systems in control theory (general)
93E20 Optimal stochastic control
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