Global Prescribed-Time Control for Switched Nonlinear Systems With Parametric Uncertainty and Time-Varying Powers
针对时变未知幂次和未知参数影响下的切换非线性系统，提出了一种新的自适应预设时间稳定判据和预设时间函数选择方案，并构建了公共自适应预设时间控制器，使闭环系统所有信号在任意预设时刻归零。
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.