Reachable set estimation for discrete-time T-S fuzzy singular systems based on Piecewise Lyapunov function

This paper is concerned with the problem of reachable set estimation for discrete-time T-S fuzzy singular systems with bounded input disturbances. Based on the Piecewise Lyapunov Function (PLF) method, a improved sufficient condition is established in terms of Linear Matrix Inequalities (LMIs) to guarantee that the reachable set of discrete-time T-S fuzzy singular systems are bounded by the intersection of ellipsoids. A numerical example is provided to demonstrate the effectiveness of the proposed method in this paper.