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

Jun Cheng, Shiqiang Chen, Zhijun Liu, Hailing Wang and Jin Li

Applied Mathematics and Computation, 2016, vol. 281, issue C, 55-76

Abstract: 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.

Keywords: Finite-time stability; Sampled-data approach; Linear systems; Random occurring delay (search for similar items in EconPapers)
Date: 2016
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Citations: View citations in EconPapers (8)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:281:y:2016:i:c:p:55-76

DOI: 10.1016/j.amc.2016.01.046

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