[1]付主木,费树岷,薄煜明,等.一类不确定切换奇异系统的鲁棒H_∞控制[J].南京理工大学学报(自然科学版),2008,(03):269-273.
 FU Zhu-mu,FEI Shu-min,BO Yu-ming,et al.Robust H∞Control for a Class of Switched Uncertain Singular Systems[J].Journal of Nanjing University of Science and Technology,2008,(03):269-273.
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一类不确定切换奇异系统的鲁棒H_∞控制
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《南京理工大学学报》(自然科学版)[ISSN:1005-9830/CN:32-1397/N]

卷:
期数:
2008年03期
页码:
269-273
栏目:
出版日期:
2008-06-30

文章信息/Info

Title:
Robust H∞Control for a Class of Switched Uncertain Singular Systems
作者:
付主木;费树岷;薄煜明;李涛;
1. 河南科技大学电子信息工程学院, 河南洛阳471003; 2. 东南大学自动化学院, 江苏南京210096; 3. 南京理工大学自动化学院, 江苏南京210094
Author(s):
FU Zhu-mu12FEI Shu-min2BO Yu-ming3LI Tao2
1.Electronic and Information Engineering College,Henan University of Science and Technology,Luoyang 471003,China;2.School of Automation,Southeast University,Nanjing 210096,China;3.School of Automation,NUST,Nanjing 210094,China
关键词:
不确定切换系统 奇异系统 鲁棒H∞控制 状态反馈 线性矩阵不等式
Keywords:
uncertain switched systems singular systems robust H∞ control state feedback linear matrix inequalities
分类号:
TP13
摘要:
研究一类由任意有限多个不确定子系统组成的切换奇异系统的状态反馈鲁棒H∞控制问题。利用共同Lyapunov函数方法和凸组合技术,给出由矩阵不等式表示的控制器存在的充分条件,并设计了相应的子控制器和切换规则。采用消元法,将该矩阵不等式转化为一组线性矩阵不等式。最后给出一个数值算例证明结论的有效性。研究结果表明:通过切换,闭环系统在整个状态空间上的每个点都满足鲁棒H∞性能,而并不要求每个子系统在整个状态空间上都满足鲁棒H∞性能,甚至也不要求其渐进稳定。
Abstract:
Based on common Lyapunov function approach and convex combination technique,the sufficient condition for the existence of sub-controllers is presented,which is in the form of matrix inequalities.Both sub-controllers and switching rules are designed.By using eliminated element method,the matrix inequalities are changed into linear matrix inequalities.A numerical example is employed to illustrate the validity of the results.The results indicate that the closed loop system satisfies the robust H∞ performance at each point in whole state-space through switching,although each sub-system doesn’t satisfy the performance and even is not asymptotically stable.

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备注/Memo

备注/Memo:
基金项目:国家自然科学基金(60574006);江苏省自然基金(BK2003405);河南省教育厅自然科学基金 (2008B510003);河南科技大学博士科研启动基金(09001237) 作者简介:付主木(1974-),男,湖北仙桃人,博士,副教授,主要研究方向:切换系统的分析、设计与鲁棒H]控制 等,E_mail:fzm1974@163.com。
更新日期/Last Update: 2008-06-30