Abstract
In this paper, the non-fragile finite-time filtering problem is studied for a class of nonlinear Markovian jumping systems (NMJSs) with time delays and uncertainties. To design the mode-dependent non-fragile state filter, Takagi–Sugeno (T–S) fuzzy models are employed to represent the time-delayed and uncertain NMJSs. Then, based on the Lyapunov–Krasovskii functional, a sufficient condition is derived for the existence of a desired non-fragile \(H_{\infty }\) filter which also guarantees the finite-time boundness of the filtering error dynamical NMJSs. By this criterion, the approach to designing a non-fragile fuzzy filter is developed in terms of linear matrix inequalities. Finally, a numerical simulation is provided to illustrate the performance of the proposed method.
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