Robust Exponential Filtering for Discrete-Time Switched Fuzzy Systems with Time-Varying Delay

This paper considers filtering of discrete-time uncertain switched nonlinear systems with time-varying delay via Takagi-Sugeno fuzzy model which is used to approximate each nonlinear subsystem. Fuzzy piecewise Lyapunov-Krasovskii functionals and average dwell time approaches are utilized for the exponential stability analysis and filter design. A new sufficient condition is obtained to guarantee the exponential stability with a prescribed performance index for the filtering error system. Filter parameter matrices can be obtained by solving sets of linear matrix inequalities. An example of an uncertain single-link robot arm is given to demonstrate the effectiveness of the proposed method.