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非线性时滞输入系统的滑模控制(英文)
引用本文:李亚男,刘磊坡,王玉光.非线性时滞输入系统的滑模控制(英文)[J].山东大学学报(理学版),2010,45(6):99-104.
作者姓名:李亚男  刘磊坡  王玉光
作者单位: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
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
收稿时间:2009-08-24

Passive sliding mode control for uncertain time-delay systems subjected to input nonlinearity
LI Ya-nan,LIU Lei-po,WANG Yu-guang.Passive sliding mode control for uncertain time-delay systems subjected to input nonlinearity[J].Journal of Shandong University,2010,45(6):99-104.
Authors:LI Ya-nan  LIU Lei-po  WANG Yu-guang
Institution: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
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.
Keywords:sliding mode passive control  time-delay systems  input nonlinearity  linear matrix inequality
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