[1]付主木,费树岷,龙飞,等.不确定切换系统的动态输出反馈鲁棒H∞控制[J].东南大学学报(自然科学版),2007,37(1):153-158.[doi:10.3969/j.issn.1001-0505.2007.01.033]
 Fu Zhumu,Fei Shumin,Long Fei,et al.dynamic output feedback stabilization for a class of uncertain switched systems[J].Journal of Southeast University (Natural Science Edition),2007,37(1):153-158.[doi:10.3969/j.issn.1001-0505.2007.01.033]
点击复制

不确定切换系统的动态输出反馈鲁棒H控制()
分享到:

《东南大学学报(自然科学版)》[ISSN:1001-0505/CN:32-1178/N]

卷:
37
期数:
2007年第1期
页码:
153-158
栏目:
自动化
出版日期:
2007-01-20

文章信息/Info

Title:
dynamic output feedback stabilization for a class of uncertain switched systems
作者:
付主木1 费树岷1 龙飞2 丛屾1
1 东南大学自动化学院, 南京 210096; 2 贵州大学电子科学与信息技术学院,贵阳 550003
Author(s):
Fu Zhumu1 Fei Shumin1 Long Fei2 Cong Shen1
1 School of Automation, Southeast University, Nanjing 210096, China
2 School of Electronic Science and Information Technology, Guizhou University, Guiyang 550003, China
关键词:
混杂系统 不确定切换系统 鲁棒H控制 输出反馈 线性矩阵不等式
Keywords:
hybrid systems uncertain switched systems robust H control output feedback LMIs
分类号:
TP273
DOI:
10.3969/j.issn.1001-0505.2007.01.033
摘要:
研究一类由任意有限多个不确定子系统组成的切换系统的动态输出反馈鲁棒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(LMIs).最后给出一个数值仿真实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 the 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 strategy are designed. Then, using the eliminated element method, the matrix inequalities are changed into linear matrix inequalities(LMIs). Finally, a simulation example is employed to illustrate the validity of the results. The results indicate that the closed loop system satisfies robust H performance at each point in whole state-space through switching, although each sub-system does not satisfy the performance and even is not asymptotically stable.

参考文献/References:

[1] Skafidas E,Evans R J,Savkin A V,et al.Stability results for switched controller systems [J]. Automatica,1999,35(4):553-564.
[2] Boscain U.Stability of planar switched systems:the linear single input case [C] //Proc of the 41st IEEE Conference on Decision and Control.Las Vegas,Nevada,USA,2002:3312-3317.
[3] Shorten R N,Narendra K S,Mason O.A result on common quadratic Lyapunov functions [J]. IEEE Trans on Automatic Control,2003,48(1):618-621.
[4] Xie G,Wang L.Controllability and stabilizability for switched linear systems [J]. Systems and Control Letters,2003,48(2):135-155.
[5] Stikel G,Bokar J,Szabo Z.Necessary and sufficient condition for the controllability of switching linear hybrid systems [J].Automatica,2004,40(6):1093-1097.
[6] 申铁龙.H 控制理论及应用[M].北京:清华大学出版社,1996.
[7] 付主木,费树岷,龙飞.一类线性切换系统 H 状态反馈控制:LMI方法[J].控制与决策,2006,21(2):197-200.
  Fu Zhumu,Fei Shumin,Long Fei.H state feedback control for a class of switched linear systems:an LMI approach [J]. Control and Decision,2006,21(2):197-200.(in Chinese)
[8] Nie H,Zhao J.Hybrid state feedback H robust control for a class of linear systems with time-varying norm-bounded uncertainty [C] //Proc of the American Control Conference.Denver,Colorado,2003,4:3608-3613.
[9] Ji Z J,Wang L.Disturbance attenuation of uncertain switched linear systems [C] //The 43rd IEEE Conference on Decision and Control.Atlantis,Paradise Island,Bahamas,2004,4:3708-3713.
[10] Ji Z J,Wang L.Robust H control and quadratic stabilization of uncertain discrete-time switched linear systems [C] //Proc of the American Control Conference.Portland,USA,2005:24-29.
[11] Gahinet P,Apkarian P.An LMI-based parametrization of all H controllers with applications [C] //Proc of the 32nd Conference on Decision and Control.San Antonlo,Texas,1993:656-661.
[12] Gahinet P,Apkarian P.A linear matrix inequality approach to H control [J].International Journal of Robust and Nonlinear Control,1994,4(4):421-448.

相似文献/References:

[1]王泽宁,费树岷,冯纯伯.一类开关混杂系统的优化控制设计[J].东南大学学报(自然科学版),2002,32(3):495.[doi:10.3969/j.issn.1001-0505.2002.03.037]
 Wang Zening,Fei Shumin,Feng Chunbo.Optimal control design for a class of switching hybrid systems[J].Journal of Southeast University (Natural Science Edition),2002,32(1):495.[doi:10.3969/j.issn.1001-0505.2002.03.037]

备注/Memo

备注/Memo:
基金项目: 国家自然科学基金资助项目(60574006)、江苏省自然科学基金资助项目(BK2003405)、贵州大学引进人才基金(2007).
作者简介: 付主木(1974—),男,博士生; 费树岷(联系人),男,博士,教授,博士生导师,smfei@seu.edu.cn.
更新日期/Last Update: 2007-01-20