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Erschienen in:

08.07.2024

Finite-Time \(H_\infty \) Control for Time-Delayed Markovian Jump Nonlinear Systems with Parameter Uncertainties and Generally Uncertain Transition Rates

verfasst von: Chenyang Jiao, Juan Zhou

Erschienen in: Circuits, Systems, and Signal Processing | Ausgabe 10/2024

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Abstract

This paper mainly investigates the problem of finite-time \(H_{\infty }\) control for a class of uncertain Markovian jump nonlinear systems (MJNSs) with time-varying delay and generally uncertain transition rates. By constructing the appropriate Lyapunov–Krasovskii functional and free weighting matrices, a novel criterion on finite-time boundedness for the MJNSs with \(H_{\infty }\) performance is derived. We use a special way to deal with the bilinear terms, the mode-dependent state feedback controller is designed to ensure the \(H_{\infty }\) finite-time boundedness of the closed-loop system in the forms of strict linear matrix inequalities. Finally, numerical and practical examples are given to demonstrate the effectiveness of the proposed method.

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Metadaten
Titel
Finite-Time Control for Time-Delayed Markovian Jump Nonlinear Systems with Parameter Uncertainties and Generally Uncertain Transition Rates
verfasst von
Chenyang Jiao
Juan Zhou
Publikationsdatum
08.07.2024
Verlag
Springer US
Erschienen in
Circuits, Systems, and Signal Processing / Ausgabe 10/2024
Print ISSN: 0278-081X
Elektronische ISSN: 1531-5878
DOI
https://doi.org/10.1007/s00034-024-02782-3