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具有区域极点约束的不确定系统的鲁棒镇定 被引量:2

Robust Control of Uncertain System with Pole Constrain
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摘要 考虑了利用状态反馈控制器将不确定线性系统的极点配置在给定的椭圆形区域中的问题。得到了相应的闭环系统的极点在椭圆中的充分条件和状态反馈控制律,并且将其转化成线性矩阵不等式的形式,仿真示例表明所得结果是有效的。 The problem about assigning the pole of uncertain linear system to the elliptic domain in complex plane via state feedback approach was studied. The sufficient condition was obtained under Which the resulting closed-loop pole is in the indicated domain. Example was given to demonstrate the effectiveness of proposed method.
出处 《上海工程技术大学学报》 CAS 2007年第1期69-72,共4页 Journal of Shanghai University of Engineering Science
基金 上海市教委自然科学基金资助项目(05NZ08) 上海市高校选拔培养优秀青年教师专项基金资助项目(05XPYQ40)
关键词 不确定系统 LMI区域 极点配置 uncertainty systems linear matrix inequality domain poleplacement
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参考文献5

  • 1BENZAOUIA A,MESQUINE F,NAIB M,et al.Robust pole assignment in complex plane regions for linear uncertain constrained control systems[J].International Journal of Systems Science,2001,32(1):83-89.
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同被引文献15

  • 1Wassim M. Haddad, Dennis S. Bernstein. Controller design with regional pole constraints [J]. IEEE Trans on Automatic Control. 1996, 41(3): 358-366.
  • 2Mahmoud Chilali, Pascal Gahinet. design with pole placement constraints: An LMI Approach [J]. IEEE Trans on Automatic Control.1996, 41(3): 358-366.
  • 3Byung Soo Kim, Hyung Seok Han, Jang Gyu Lee. Pole placement of uncertain discrete systems in the smallest disk by state feedback[C]. Proceedings of the 35th Conference on Decision and Control. 1996, 4558-4563.
  • 4Xu ShengYuan, Yang ChengWu, Zhou ShaoSheng. Robust control for uncertain discrete-time systems with circular pole constraints [J]. Systems &Control Letters. 2000, 39(1):13-18.
  • 5俞力.鲁棒控制:线性矩阵不等式处理方法[M].北京:清华大学出版社,2002.
  • 6Li C X, Sun J T, Sun R Y. Stability analysis of a class of stochastic differential delay equations with nonlinear impulsive effects [J]. Journal of the Franklin Institute, 2010,347(7) : 1186 - 1198.
  • 7Tan M C. Asymptotic stability of nonlinear systems with unbounded delays[J]. J Math Anal Appl,2008, 337(2) :1010- 1021.
  • 8MaaloufAI, Petersen I R. Sampled-data LQG control for a class of linear quantum systems[J]. Systems Control Letters,2012,61 (2) :369- 374.
  • 9Yang C D. Stability and quantization of complex- valued nonlinear quantum systems [J ]. Chaos, Solitons and Fraetals, 2009,42 (2) :711 - 723.
  • 10Zhao S W,Sun J T. Controllability and observability for impulsive systems in complex fields [J ]. Nonlinear Analysis,2010,11 (3) : 1513 - 1521.

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