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Non-fragile finite time $$H_{ınfty }$$ control for nonlinear singular Markovian jump systems with parameter uncertainties and generally uncertain transition rates
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Non-fragile finite time $$H_{ınfty }$$ control for nonlinear singular Markovian jump systems with parameter uncertainties and generally uncertain transition rates
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Journal Article
Non-fragile finite time $$H_{ınfty }$$ control for nonlinear singular Markovian jump systems with parameter uncertainties and generally uncertain transition rates
2025
Overview
In this paper, the non-fragile H∞ controller design problem for a class of nonlinear singular Markovian jump systems (SMJSs) with time-varying delay and generally uncertain transition rates is considered. We construct a new Lyapunov-Krasovskii functional (LKF) containing double integral terms, by decomposing the integral interval and introducing the free weight matrices, new sufficient conditions on singular stochastic finite-time boundedness (SSFTB) and singular stochastic H∞ finite-time boundedness (SSH∞FTB) of the closed-loop (C-L) SMJSs are derived. Then, a non-fragile finite-time H∞ controller is designed to ensure the SSH∞FTB of the C-L systems with strict LMIs, although existing the controller gain perturbations. Finally, a numerical example and two practical examples of DC motor model and aircraft propulsion system model are provided to illustrate the effectiveness and feasibility of the method.
Publisher
Springer Nature B.V
