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This paper is concerned with the problem of stochastic stabilization and H∞ control for a class of continuous-time nonlinear Markovian jump systems (MJSs) described by Takagi-Sugeno (T-S) fuzzy models. Based on a mode-dependent fuzzy Lyapunov function and by introducing slack matrix variables, we propose a new less conservative sufficient condition for the mode-dependent fuzzy controller in terms...
The problem of robust fault detection (RFD) for nonlinear singular Markovian jump systems (NSMJLSs) with partly unknown transition probabilities is investigated in the paper. The RFD observer (RFDO) system and the dynamics of error generator are constructed. By Lyapunov function approach, the proposed method reduces the conservatism compared with the existing ones. Moreover, the performance index...
This paper addresses the problem of robust fuzzy $L_{2}-L_{\infty }$ filtering for a class of uncertain nonlinear discrete-time Markov jump systems (MJSs) with nonhomogeneous jump processes. The Takagi-Sugeno fuzzy model is employed to represent such nonlinear nonhomogeneous MJS with norm-bounded parameter uncertainties. In order to decrease conservation, a polytope Lyapunov function which evolves...
In this paper, a robust fuzzy model predictive control (MPC) scheme is presented for a class of discrete-time nonlinear systems which can be described by uncertain T-S fuzzy models subject to actuator saturation. The system uncertainties under consideration are assumed to be time-varying and norm-bounded. A sufficient condition of minimizing upper bound of the cost function and asymptotical stability...
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