Estimation of real-time reachable set on nonlinear time-delay switched singular systems with state jump

Abstract

This article addresses the real-time reachable set problem on nonlinear time-delay switched singular systems with state jump, which is subject to initial state and peak-bound disturbance. Initially, based on the system state decomposition method, a state jump lemma is proposed, which combines the nonlinear function and the system state at the switching instant. Then, a real-time bounded lemma is developed, premised on using the idea of average dwell-time and analyzing subinterval function changes. Afterwards, the sufficient conditions for estimating the real-time and nonreal-time reachable set are established, which ensures that the reachable state of system can be restricted within a real-time or nonreal-time closed set. Finally, simulation results of the typical Direct Current boost chopper are performed to exhibit the effectiveness of the devised estimation scheme for the real-time reachable set of system.