Global Stabilization for a Class of Switched Nonlinear Time-Delay Systems via Sampled-Data Output-Feedback Control

Abstract

This article presents a stabilization achievement for a switched nonlinear time-delay system through output-feedback control under the sampled-data and global senses. An observer with the sampled output measurement is constructed to evaluate the unavailable states, and then a controller formed from the sampled observer states is given. For the stability analysis, a merging virtual switching signal (MVSS) is created to express the asynchronous switching mechanism in the resultant closed-loop system. Through designating a positive-definite function as the Lyapunov function candidate, a proof is conducted to reveal that global stability can be ensured for the considered systems which work under the time-varying delay case and the developed sampled-data controller with a switching restriction. Finally, two examples are provided in this article to indicate the given control strategy usefulness.