Finite-time stabilization of switched nonlinear singular systems with asynchronous switching

Abstract

This paper is concerned with the finite-time stabilization of a class of switched nonlinear singular systems under asynchronous control. Asynchronism here refers to the delays in switching between the controller and the subsystem. First, the dynamic decomposition technique is used to prove that such a switched singular system is regular and impulse-free. Secondly, based on the state solutions of the closed-loop system in the matched time period and the mismatched time period of the system instead of constructing a Lyapunov function, the sufficient conditions for the finite-time stability of the asynchronous switched singular system are given, there is no limit to the stability of subsystems. Then, the mode-dependent state feedback controller that makes the original system stable is derived in the form of strict linear matrix inequalities. Finally, numerical examples are given to verify the feasibility and validity of the results.

Reduced‐order observer‐based finite‐time control for one‐sided Lipschitz nonlinear switched singular systems

“…For switched singular systems, the study of input‐output finite‐time stability has been concerned by Reference 28. Finite‐time stability and stabilizabilition problems for a class of NSSS were considered separately in References 29–31. The finite‐time static output feedback $$$ {H}_{\infty } $$$ control problem for descriptor semi‐MJS was concerned in Reference 32.…”