| 凸胞型不确定系统的变结构控制 |
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| 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. |
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| 作者姓名： | 侯晓丽 胥布工 |
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| 作者单位： | 华南理工大学,自动化科学与工程学院,广东,广州,510640 |
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| 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). |
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| 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D_R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.
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| 关 键 词： | 变结构控制 不确定系统 凸胞型 |
| 文章编号： | 1000-8152（2007）04-0661-04 |
| 收稿时间： | 2005/10/30 0:00:00 |
| 修稿时间： | 2005-10-302006-09-11 |
Variable structure control of polytopic systems |
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| HOU Xiao-li,XU Bu-gong.Variable structure control of polytopic systems[J].Control Theory & Applications,2007,24(4):661-664. |
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| Authors: | HOU Xiao-li XU Bu-gong |
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| Affiliation: | College of Automation Science and Technology, South China University of Technology, Guangzhou Guangdong 510640, China |
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| Abstract: | 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 D_R stability of the reduced-order equivalent system on the sliding surface.Finally,an example is presented to show the efficiency of this control law. |
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| Keywords: | variable structure control uncertain system polytopic |
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