Improved \(H_\infty\) deconvolution filter design for Lur’e singular Markovian jump systems based on sector bounded condition. (English) Zbl 1481.93138
Summary: This paper investigates the deconvolution filter for Lur’e time-varying delays singular Markovian jump systems. Firstly, by establishing mode-dependent Lyapunov-Krasovskii functional and considering sector bounded conditions, stochastic stability conditions and \(H_\infty\) performance index are obtained for Lur’e singular Markovian jump systems. Secondly, both regularity and impulse-freeness are acquired by singular value decomposition technique. Thirdly, deconvolution filter is realized by virtue of linear matrix inequalities. Ultimately, the utility of this present method is validated by a numerical example and an oil catalytic cracking process.
MSC:
| 93E11 | Filtering in stochastic control theory |
| 93E15 | Stochastic stability in control theory |
| 93B36 | \(H^\infty\)-control |
| 93C43 | Delay control/observation systems |
Keywords:
\(H_\infty\) deconvolution filter; Lur’e time-varying delays singular Markovian jump systems; stochastic stabilityReferences:
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