Real-time Reachable Set Estimation of Discrete-time Singular Systems

Abstract

The inquiry into real-time reachable set estimation for singular systems is conducted in this paper. By applying Lyapunov stability principle, the method mentioned underneath can estimate the reachable set in real time, A competent condition is set up in the form of linear matrix inequality (LMI) to ensure that the reachable set of singular system is confined in real-time by an array of ellipsoids. The authority of the results presented in this paper is illuminated by a numerical example.