A unified Lyapunov characterization for finite time control and prescribed time control

被引：19
作者：
Song, Yongduan [1 ]
Su, Jie [1 ,2 ]
机构：
[1] Chongqing Univ, Sch Automat, Chongqing 400044, Peoples R China
[2] Star Inst Intelligent Syst SIIS, Chongqing, Peoples R China
来源：
INTERNATIONAL JOURNAL OF ROBUST AND NONLINEAR CONTROL | 2023年 / 33卷 / 04期
基金：
中国国家自然科学基金;
关键词：
finite time control; nonautonomous nonlinear system; prescribed time control; without infinite gain; NONLINEAR-SYSTEMS; VARYING FEEDBACK; STABILIZATION;
D O I：
10.1002/rnc.6544
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This work presents a novel approach to unifying finite time control and prescribed time control. The main idea is to establish a new Lyapunov differential inequality that allows finite time and prescribed time stability to be addressed uniformly. It is shown that the derived control algorithm is able to achieve prescribed time convergence with bounded control gain and bounded control action, completely solving for the first time the long-lasting issue of infinite gain associated with current notion of prescribed time control. Numerical simulations also confirmed the effectiveness of the developed approach.
引用
收藏
页码：2930 / 2949
页数：20
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