Reachable Set Control for Discrete-Time Takagi–Sugeno Fuzzy Singular Markov Jump System

Abstract

This article investigates the problem of reachable set control for a class of discrete-time Takagi–Sugeno fuzzy singular Markov jump systems (T–S FSMJSs) with time-varying delay and disturbance for the first time. By designing the state feedback and output feedback controllers, and based on the Lyapunov functional, two new sufficient conditions for the reachable set control are established. The state feedback and output feedback controller gains are obtained by optimizing the iterative algorithm. Then, all the state trajectories of the closed-loop T–S FSMJSs are contained by the intersection of ellipsoids. Finally, two examples with practical application background are presented to show the validity and usability of the proposed methods.