非线性时滞输入系统的滑模控制

J4 ›› 2010, Vol. 45 ›› Issue (6): 99-104.

非线性时滞输入系统的滑模控制

李亚男¹,刘磊坡²,王玉光³

1.河南理工大学万方科技学院, 河南焦作 454000;
2.上海交通大学电子信息与电气工程学院, 上海 200240;
3. 宁夏大学数学计算机学院, 宁夏银川 750021

收稿日期:2009-08-24 出版日期:2010-06-16 发布日期:2010-06-17

Passive sliding mode control for uncertain time-delay systems subjected to input nonlinearity

LI Ya-nan1, LIU Lei-po2, WANG Yu-guang3

1. Wanfang School of Science and Technology, Henan Polytechnic University, Jiaozuo 454000, Henan, China;
2. School of Electrical and Information Engineering, Shanghai Jiaotong University, Shanghai 200240, Henan, China;
3. School of Mathematics and Computer, Ningxia University, Yinchuan 750021, Ningxia, China

Received:2009-08-24 Online:2010-06-16 Published:2010-06-17
About author:LI Ya-nan(1983-), male, lecturer. His interests mainly focuses on nonlinear system and control, stability of ecosystem. Email: lyn@hpu.edu.cn
Supported by:
Supported by the National Natural Science Foundation of China (No.60674024)

摘要/Abstract

摘要：

研究了具有输入非线性的不确定时滞系统的无源滑模控制问题。采用滑模控制方法, 一个控制器被设计可以保证系统的状态在有限时间达到切换面,同时使得滑动模态具有无源性和渐近稳定性的充分条件以线性矩阵不等式被获得,求解方便。最后,一个仿真例子说明了所提方法的有效性。

关键词: 无源滑模控制;时滞系统;输入非线性;线性矩阵不等式

Abstract:

The problem of passive sliding mode control for uncertain timedelay systems subjected to input nonlinearity is investigated. Using the sliding mode control, a robust law is established such that the reachability of the sliding surface in the state space is guaranteed in a finite time, and the sufficient condition for the passivity and asymptotic stability of sliding mode dynamics is derived via linear matrix inequality(LMI). Finally, a simulation example is presented to verify the validity of the proposed method.

Key words: sliding mode passive control; time-delay systems; input nonlinearity; linear matrix inequality

李亚男1,刘磊坡2,王玉光3. 非线性时滞输入系统的滑模控制[J]. J4, 2010, 45(6): 99-104.

LI Ya-nan1, LIU Lei-po2, WANG Yu-guang3. Passive sliding mode control for uncertain time-delay systems subjected to input nonlinearity[J]. J4, 2010, 45(6): 99-104.

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