广义不确定系统的终端滑模控制  

TERMINAL SLIDING MODE CONTROL TO UNCERTAINTY SINGULAR SYSTEMS

作　　者：龚文振[1] 

机构地区：[1]玉林师范学院数学与计算机科学系,广西玉林537000

出　　处：《数学杂志》2010年第4期747-753,共7页Journal of Mathematics

基　　金：国家自然科学基金(60564001);教育部"新世纪优秀人才支持计划"专项基金项目(NCET-06-0756);广西自然科学基金资助项目(2010GXNSFA013125)

摘　　要：本文研究了线性广义不确定系统在满足匹配条件下的终端滑模控制的综合设计问题.利用变结构控制方法设计切换函数和终端滑模控制器,获得了在终端滑模控制下,闭环系统的模态在有限时间内到达平衡点的重要结果.克服了传统的变结构控制方法只能保证闭环系统的模态在平衡点渐近稳定,不能实现有限时间到达平衡点的缺点.举例说明了设计方法的合理性和有效性.In this article,the synthesis problem of terminal sliding mode control for a linear singular uncertainty system is studied under the matching conditions satisfied.By using the method of variable structure control,we obtain the important result which the sliding mode state of the closed-loop system arrives at the balance point in limited time.Traditional variable structure control method can assure that the sliding mode state of the closed-loop system is asymptotically stable,can not arrives at the balance point in limited time,but the method of the article conquers the shortcoming.The rationality and the effectiveness of the designing method are illustrated by a numerical example.

关 键 词：广义系统 终端滑模控制 有限时间收敛 强能控 

分 类 号：O175.13[理学—数学]