Robust exponential H∞ filtering for discrete-time switched fuzzy systems

This paper considers H_∞ filter of discrete-time switched nonlinear systems via T-S fuzzy model. Piecewise fuzzy weighting-dependent Lyapunov function and average dwell time approach are utilized for the exponentially stability analysis and H_∞ filter design, which the exponentially stability and a prescribed H_∞ performance index are guaranteed for the filtering error system. The sufficient conditions for the existence of the H_∞ filter are given in the form of linear matrix inequalities (LMIs). An example of an uncertain single link robot arm is given to demonstrate the efficiency of the proposed method.