Reachable Set Estimation for Nonlinear Switched Singular Systems with Impulsive Perturbation

This paper investigates the problem of reachable set estimation of the nonlinear switched singular system with impulsive perturbation under zero initial conditions and bounded peak disturbance. The objective is to obtain a bounded ellipsoid containing all states from the origin. Firstly, the switched singular system is decomposed into a system consisting of differential and algebraic equations. Secondly, applying the real bounded lemma and integral inequality technique in the framework of the linear matrix inequality (LMI), a sufficient condition for the switched singular system with impulsive perturbation and delay is obtained to ensure that the state trajectory of system is restricted to deriving a closed bounded set from the input with bounded peaks. Finally, the effectiveness of the obtained results in this paper is illustrated by numerical examples.