[1]陈梅香.响应率法求解二阶部分极点配置问题[J].华侨大学学报(自然科学版),2015,36(1):107-110.[doi:10.11830/ISSN.1000-5013.2015.01.0107]
 CHEN Mei-xiang.Partial Quadratic Pole Assignment Using the Method of Receptances[J].Journal of Huaqiao University(Natural Science),2015,36(1):107-110.[doi:10.11830/ISSN.1000-5013.2015.01.0107]
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响应率法求解二阶部分极点配置问题()
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《华侨大学学报(自然科学版)》[ISSN:1000-5013/CN:35-1079/N]

卷:
第36卷
期数:
2015年第1期
页码:
107-110
栏目:
出版日期:
2015-01-20

文章信息/Info

Title:
Partial Quadratic Pole Assignment Using the Method of Receptances
文章编号:
1000-5013(2015)01-0107-04
作者:
陈梅香
华侨大学 数学科学学院, 福建 泉州 362021
Author(s):
CHEN Mei-xiang
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
极点配置 最小范数 响应率 二阶控制系统
Keywords:
pole assignment minimum norm receptances second order control system
分类号:
O241.6
DOI:
10.11830/ISSN.1000-5013.2015.01.0107
文献标志码:
A
摘要:
给出一种求解多输入二阶控制系统的最小范数部分极点配置问题的新算法.该算法将部分极点配置问题转化为数值优化问题,使得在只有系统响应率的前提下,实现极点配置,同时保证得到的反馈矩阵的范数最小.数值实验的结果表明:该算法是可行性的.
Abstract:
A new method is proposed to solve minimum norm partial pole assignment of the multi-input second order control system. We consider the minimum norm partial pole assignment problem as a numerical optimization problem. By this new method, we only need the receptances which are available by measurements. The results of numerical experiments demonstrate the effectiveness of the propose method.

参考文献/References:

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[2] BAI Zheng-jian,DATTA B N,WANG Jin-wei.Rubust and minimum norm partial quadratic eigenvalue assignment in vibrating systems: A new optimization approach[J].Mechanical Systems and Signal Processing,2010,24(3):766-783.
[3] BAI Zheng-jian,CHEN Mei-xiang,YANG Jin-ku.A multi-step hybrid method for multi-input partial quadratic eigenvalue assignment with time delay[J].Linear Algebra and Its Applications,2012,43(7):1658-1669.
[4] CHU E K.Pole assignment for second-order systems[J].Mechanical Systems and Signal Processing,2002,16(1): 39-59.
[5] DATTA B N,ELHAY S,RAM Y M.Orthogonality and partial pole assignment for the symmetric definite quadratic pencil[J].Linear Algebra and Its Application,1997,257:29-48.
[6] DATTA B N,ELHAY S,RAM Y M,et al.Partial eigenstructure assignment for the quadratic pencil[J].Journal of Sound and Vibration,2000,230(1):101-110.
[7] DATTA B N,LIN Wen-wei,WANG J N.Robust partial pole assignment for vibrating structures with aerodynamic effect[J].IEEE Trans Automatic Control,2006,51(12):1979-1984.
[8] RAM Y M,MOTTERSHEAD J E.Multiple-input active vibration control by partial pole placement using the method of receptances[J].Mechanical Systems and Signal Processing,2013,40(2):727-735.
[9] Jr DENNIS J E.Nonlinear least-squares[C]//State of the Art in Numerical Analysis.London:Academic Press,1977:269-312.
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相似文献/References:

[1]王永初.极点配置系统的品质评估[J].华侨大学学报(自然科学版),1993,14(2):215.[doi:10.11830/ISSN.1000-5013.1993.02.0215]
 Wang Yongchu.Quality Evaluation of the Pole Placement System[J].Journal of Huaqiao University(Natural Science),1993,14(1):215.[doi:10.11830/ISSN.1000-5013.1993.02.0215]

备注/Memo

备注/Memo:
收稿日期: 2014-10-20
通信作者: 陈梅香(1984-),女,讲师,博士,主要从事计算数学的研究.E-mail:mxchen@hqu.edu.cn.
基金项目: 国家自然科学基金资助项目(11271308); 华侨大学高层次人才科研启动项目(12BS225); 华侨大学中青年教师科研提升计划资助项目(ZQN-PY201)
更新日期/Last Update: 2015-01-20