Non‐fragile H ∞ control for switched stochastic delay systems with application to water quality process |
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| Authors: | Dong Wang Peng Shi Wei Wang Hamid R. Karimi |
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| Affiliation: | 1. Faculty of Electronic Information and Electrical Engineering, Dalian University of Technology, , Dalian, 116024, China;2. School of Engineering and Science, Victoria University, , Melbourne, Vic 8001, Australia;3. School of Electrical and Electronic Engineering, The University of Adelaide, , Adelaide, SA 5005 Australia;4. Department of Engineering, Faculty of Engineering and Science, University of Agder, , N‐4898 Grimstad, Norway |
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| Abstract: | In this paper, the problem of non‐fragile observer‐based H ∞ 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 ∞ 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. Copyright © 2013 John Wiley & Sons, Ltd. |
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| Keywords: | switched systems delay systems non‐fragile control stochastic systems |
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