Outlier-resistant H∞control for T–S fuzzy singular systems under time-correlated fading channels

The problem of outlier-resistant $H_{\infty }$ control for T–S fuzzy singular system with time-correlated fading channel and noise is studied. The main purpose of this paper is to obtain outlier-resistant controller design condition for singular system by using discrete-state decomposition technique. The fading channel is considered with time-correlated noise and the fading factor satisfies the dynamic process. Firstly, the difference method is used to obtain the measurement value to deal with time-correlated items. In order to reduce the adverse effects of outliers, the observer with dynamic saturation constrained innovation terms is proposed. Secondly, the augmented system is decomposed into differential subsystem and algebraic subsystem using discrete-state decomposition technique, and Lyapunov function without singular matrix is selected to obtain the design condition of outlier-resistant controller. Finally, the effectiveness of the design method is verified by an example of a four-mesh circuit.