08.07.2024
Finite-Time \(H_\infty \) Control for Time-Delayed Markovian Jump Nonlinear Systems with Parameter Uncertainties and Generally Uncertain Transition Rates
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.