Global stabilization of high-order nonlinear time-delay systems by state feedback

被引：61
作者：
Zhang, Xu [1 ]
Lin, Yan [1 ]
机构：
[1] Beijing Univ Aeronaut & Astronaut, Sch Automat, Beijing 100191, Peoples R China
来源：
SYSTEMS & CONTROL LETTERS | 2014年 / 65卷
关键词：
High-order nonlinear systems; Time-delay; State feedback; Dynamic gain-based backstepping; ROBUST STABILIZATION; POWER INTEGRATOR;
D O I：
10.1016/j.sysconle.2013.12.015
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
We consider the problem of global stabilization by state feedback for a class of high-order nonlinear systems with time-delay. By developing a novel dynamic gain-based backstepping approach, a state feedback controller independent of the time-delay is explicitly constructed with the help of appropriate Lyapunov-Krasovskii functionals. The precise knowledge (even the upper bound) of the time-delay is not required. It is proved that the states of the nonlinear time-delay systems can be regulated to the origin while all the closed loop signals are globally bounded. Finally, both physical and academic examples are given to illustrate the applications of the proposed scheme. (C) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：89 / 95
页数：7
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