Robust finite-time sampled-data control of linear systems subject to random occurring delays and its application to four-tank system. (English) Zbl 1410.93077
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.
MSC:
| 93C57 | Sampled-data control/observation systems |
| 93D05 | Lyapunov and other classical stabilities (Lagrange, Poisson, \(L^p, l^p\), etc.) in control theory |
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