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 引用本文: 钟瑞麟, 程鹏. 一类奇异H∞问题的降阶控制器的解释[J]. 北京航空航天大学学报, 2005, 31(03): 363-366.
Zhong Ruilin, Cheng Peng. Explanation of reduced order controller for a class of H∞ singular control problem[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(03): 363-366. (in Chinese)
 Citation: Zhong Ruilin, Cheng Peng. Explanation of reduced order controller for a class of H∞ singular control problem[J]. Journal of Beijing University of Aeronautics and Astronautics, 2005, 31(03): 363-366. (in Chinese)

• 中图分类号: TP 13

Explanation of reduced order controller for a class of H∞ singular control problem

• 摘要: 一类奇异H控制问题可以利用系统矩阵的结构特征通过线性矩阵不等式或2代数黎卡提方程方法直接显式构造得到降阶控制器.进而利用系统不稳定的不变零点可以构造出更低阶次的控制器.基于2代数黎卡提方程方法,特别是系统Hamilton矩阵的结构特点和系统可观测性理论,论述了不变零点在构造系统降阶控制器中所起的作用,即通过选择控制器的自由参量,使某些不稳定的不变零点关于虚轴对称的点构成系统控制器不可观的稳定极点,从而实现了控制器进一步降阶.

•  [1] Doyle J C, Glover K, Khargonekar P P, et al. State-space solutions to standard H2 and H∞ control problems[J]. IEEE Trans Auto Contr, 1989, AC-34(8):831~847 [2] Iwasaki T, Skelton R E. All controllers for the general H∞ control problem: LMI existence conditions and state space formulas [J]. Automatica, 1994, 30(8):1307~1317 [3] Xin X, Guo L, Feng C B. Reduced-order controllers for continuous and discrete-time singular H∞ control problems based on LMI[J] Automatica, 1996, 32(11):1581~1585 [4] 曾建平.基于LMI的H∞控制问题降阶控制器的存在性研究 . 北京:北京航空航天大学自动化科学与电气工程学院,2000 Zeng Jianping. Study on the existence of reduced-order controllers for general H∞ control problem LMI-based .Beijing:School of Automation Science and Electrical Engineering, Beijing University of Aeronautics and Astronautics, 2000(in Chinese) [5] Takao Watanabe,Anton A Stoorvogel. Plant zero structure and further order reduction of a singular H∞ controller[J] Int J Robust Nonlinear Control, 2002,12:591~619 [6] Zhou Kemin, Doyle J C, Glover K. Robust and optimal control[M] Prentice-Hall Inc,1996.327~372 [7] 程 鹏.线性系统理论[M] 北京:北京航空航天大学出版社,1987.43~52 Cheng Peng. Linear system theory[M] Beijing:Beijing University of Aeronautics and Astronautics Press,1987. 43~52(in Chinese)

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出版历程
• 收稿日期:  2003-10-08
• 网络出版日期:  2005-03-31

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