Global Prescribed-Time Control for Switched Nonlinear Systems With Parametric Uncertainty and Time-Varying Powers

This article concentrates on the problem of prescribed-time control for switched uncertain nonlinear systems with time-varying powers under arbitrary switching. The challenge is to drive all signals of the closed-loop system to the origin at any preselected time under the influence of time-varying unknown powers and unknown parameters. To deal with this problem, a novel adaptive prescribed-time stable criterion and selection scheme of the prescribed-time function are first proposed, which generalize the existing results and present the relationship with the time scale scaling method. On this basis, the common adaptive prescribed-time controller is constructed step by step for a class of switched nonlinear systems with time-varying powers and uncertainty, and the stability of closed-loop systems is subsequently analyzed. Finally, we provide two simulation examples to illustrate the validness of the control algorithm.