Control design for one-sided Lipschitz nonlinear differential inclusions

被引：29
|
作者：
Cai, Xiushan [1 ]
Gao, Hong [1 ]
Liu, Leipo [2 ]
Zhang, Wei [3 ]
机构：
[1] Zhejiang Normal Univ, Coll Math Phys & Informat Engn, Jinhua 321004, Peoples R China
[2] Henan Univ Sci & Technol, Coll Elect & Informat Engn, Luoyang 471003, Peoples R China
[3] Shanghai Univ Engn Sci, Lab Intelligent Control & Robot, Shanghai 201620, Peoples R China
来源：
ISA TRANSACTIONS | 2014年 / 53卷 / 02期
基金：
中国国家自然科学基金;
关键词：
Nonlinear differential inclusions; One-sided Lipschitz; Exponential stabilization; Linear matrix inequalities; TRACKING CONTROL; LYAPUNOV FUNCTIONS; SYSTEMS; STABILIZATION; DISTURBANCE; OBSERVERS;
D O I：
10.1016/j.isatra.2013.12.005
中图分类号：
TP [自动化技术、计算机技术];
学科分类号：
0812 ;
摘要：
This paper considers stabilization and signal tracking control for one-sided Lipschitz nonlinear differential inclusions (NDIs). Sufficient conditions for exponential stabilization for the closed-loop system are given based on linear matrix inequality theory. Further, the design method is extended to signal tracking control for one-sided Lipschitz NDIs. A control law is designed such that the state of the closed-loop system asymptotically tracks the reference signal. Finally, two numerical examples are given to illustrate the effectiveness of the proposed design technique. (C) 2013 ISA. Published by Elsevier Ltd. All rights reserved.
引用
收藏
页码：298 / 304
页数：7
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