引用本文:侯晓丽, 胥布工.凸胞型不确定系统的变结构控制[J].控制理论与应用,2007,24(4):661~664.[点击复制]
HOU Xiao-li, XU Bu-gong.Variable structure control of polytopic systems[J].Control Theory and Technology,2007,24(4):661~664.[点击复制]
凸胞型不确定系统的变结构控制
Variable structure control of polytopic systems
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DOI编号  10.7641/j.issn.1000-8152.2007.4.029
  2007,24(4):661-664
中文关键词  变结构控制  不确定系统  凸胞型
英文关键词  variable structure control  uncertain system  polytopic
基金项目  国家自然科学基金资助项目(60474047); 国家自然科学基金重点资助项目(60334010); 高等学校博士学科点专项基金资助项目(20030561013).
作者单位
侯晓丽, 胥布工 华南理工大学自动化科学与工程学院, 广东广州510640) 
中文摘要
      讨论了凸胞型不确定系统的变结构控制, 利用LMI方法, 给出了滑模面存在的充分条件, 并且给出了线性滑模面的显式表达式. 所设计的变结构控制律不仅能保证系统在有限时间到达滑模面, 并且保证受限在滑模面上的降阶等价系统是DR稳定的. 最后, 给出一个设计实例来阐明该控制方法的有效性.
英文摘要
      The problem of designing a variable structure control law for uncertain polytopic systems is considered in this paper. Firstly, a sufficient condition for the existence of linear sliding surfaces in terms of linear matrix inequality (LMI) is given, an explicit formula of linear sliding surfaces is also presented. Secondly, variable structure control law is designed, which not only guarantees the system to reach the sliding surface in finite time, but also assures the DR stability of the reduced-order equivalent system on the sliding surface. Finally, an example is presented to show the efficiency of this control law.