Robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to Four-Tank system

This work studies the problem of robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to Four-Tank system. The input time delays are described by Bernoulli distributed white sequences. By employing a newly augmented Lyapunov–Krasovskii func...

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Bibliographic Details
Published inApplied mathematics and computation Vol. 281; pp. 55 - 76
Main Authors Cheng, Jun, Chen, Shiqiang, Liu, Zhijun, Wang, Hailing, Li, Jin
Format Journal Article
LanguageEnglish
Published Elsevier Inc 30.04.2016
Subjects
Control systems
Delay
Finite-time stability
Inequalities
Integrals
Linear systems
Mathematical models
Random occurring delay
Sampled-data approach
Time delay
Work study
Linear systems
Random occurring delay
Finite-time stability
Sampled-data approach
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Summary:This work studies the problem of robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to Four-Tank system. The input time delays are described by Bernoulli distributed white sequences. By employing a newly augmented Lyapunov–Krasovskii functional with Jensen’s inequality, free-weighting matrix method and Wirtinger-based double integral inequality approach, some less conservative delay-dependent conditions for finite-time sampled-data control law are obtained. Finally, to reveal the proposed technique, an application to a Four-Tank system is addressed to illustrate the effectiveness of developed techniques.
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ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2016.01.046