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Non‐fragile H ∞ control for switched stochastic delay systems with application to water quality process
Author(s) -
Wang Dong,
Shi Peng,
Wang Wei,
Karimi Hamid R.
Publication year - 2013
Publication title -
international journal of robust and nonlinear control
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.361
H-Index - 106
eISSN - 1099-1239
pISSN - 1049-8923
DOI - 10.1002/rnc.2956
Subject(s) - bernoulli's principle , dwell time , control theory (sociology) , actuator , computer science , process (computing) , observer (physics) , control (management) , bernoulli distribution , mathematical optimization , mathematics , engineering , random variable , artificial intelligence , medicine , clinical psychology , statistics , physics , quantum mechanics , aerospace engineering , operating system
SUMMARY 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.