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Wang, Dong; Shi, Peng; Wang, Wei; Karimi, Hamid R.

Non-fragile \(H_{\infty}\) control for switched stochastic delay systems with application to water quality process. (English) Zbl 1298.93143

Int. J. Robust Nonlinear Control 24, No. 11, 1677-1693 (2014).
Summary: In this paper, the problem of non-fragile observer-based \(H_{\infty}\) control for discrete-time switched delay systems is investigated. Both data missing and time delays are taken into account in the links from sensors to observers and from controllers to actuators. Because data missing satisfies the Bernoulli distribution, such problem is transformed into an \(H_{\infty}\) control problem for stochastic switched delay systems. Average dwell time approach is used to obtain sufficient conditions on the solvability of such problems. A numerical example and a real example for water quality control are provided to illustrate the effectiveness and potential applications of the proposed techniques.

Cited in 29 Documents

MSC:

93B35 Sensitivity (robustness)
93E03 Stochastic systems in control theory (general)
93C30 Control/observation systems governed by functional relations other than differential equations (such as hybrid and switching systems)
92D40 Ecology

Keywords:

robust control; \(H_{\infty}\) control; switched stochastic delay systems; water quality
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References:

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