Global finite-time adaptive stabilization for nonlinear systems with multiple unknown control directions

被引：179
作者：
Wu, Jian [1 ]
Chen, Weisheng [1 ]
Li, Jing [2 ]
机构：
[1] Xidian Univ, Sch Aerosp Sci & Technol, Xian 710071, Peoples R China
[2] Xidian Univ, Sch Math & Stat, Xian 710071, Peoples R China
来源：
AUTOMATICA | 2016年 / 69卷
基金：
中国国家自然科学基金;
关键词：
Global finite-time stability; Adaptive control; Multiple unknown control directions; Logic switching rule; Uncertain nonlinear systems; OUTPUT-FEEDBACK STABILIZATION; ROBUST-CONTROL; DELAY SYSTEMS; STABILITY; TRACKING; DRIVEN; NOISE;
D O I：
10.1016/j.automatica.2016.03.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
In this paper, the problem of global finite-time stabilization is addressed for a class of nonlinear systems with multiple unknown control directions. Unlike all the existing works on finite-time stabilization, our work allows the control directions of the considered systems to be unknown. This paper is the first to focus on the global finite-time control of such uncertain systems. To overcome the main obstacle arising from unknown control directions, we develop a novel Lyapunov-based logic switching rule, and then the desired adaptive switching controllers are designed, where the controller parameters are to be tuned online in a switching manner according to the proposed switching logic. It is shown that the obtained controllers guarantee the closed-loop systems being globally finite-time stable. A simulation example is provided to illustrate the effectiveness of the proposed control algorithms. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码：298 / 307
页数：10
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