[1]谢溪庄.部分二次特征值及其敏感性配置[J].华侨大学学报(自然科学版),2012,33(1):117-120.[doi:10.11830/ISSN.1000-5013.2012.01.0117]
　XIE Xi-zhuang.Assignment of Eigenvalue and Corresponding Sensitivities[J].Journal of Huaqiao University(Natural Science),2012,33(1):117-120.[doi:10.11830/ISSN.1000-5013.2012.01.0117]
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部分二次特征值及其敏感性配置()
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《华侨大学学报（自然科学版）》[ISSN:1000-5013/CN:35-1079/N]

卷:
第33卷
期数:
2012年第1期
页码:
117-120
栏目:
出版日期:
2012-01-20

文章信息/Info

Title:
Assignment of Eigenvalue and Corresponding Sensitivities
文章编号:
1000-5013(2012)01-0117-04
作者:
谢溪庄
华侨大学数学科学学院
Author(s):
XIE Xi-zhuang
School of Mathematical Sciences, Huaqiao University, Quanzhou 362021, China
关键词:
特征值;  敏感性;  二次规划问题;  响应矩阵法;  主动振动控制
Keywords:
eigenvalue assignment;  sensitivity;  quadratic programming;  receptance method;  active vibration control
分类号:
O231
DOI:
10.11830/ISSN.1000-5013.2012.01.0117
文献标志码:
A
摘要:
利用响应矩阵法配置主动振动控制中的配置特征值及其敏感性,使得特征值和敏感性配置的个数不受限制.提出用带等式约束的二次规划问题,来求解主动振动控制中单输入状态反馈控制系统的部分特征值及敏感性配置问题.数值实验表明:转化成二次规划问题来求解的方法,其特征值配置问题满足要求,敏感性配置也相对满足要求.
Abstract:
By means of assignment for the eigenvalue and the corresponding sensitivities in active vibration control by receptance method,the number of the assigned eigenvalue and sensitivities isn′t limited.We present an equality-constrained quadratic programming method to solve the problem of eigenvalue and sensitivities assignment in active vibration control using single-input state feedback.It is shown that the eigenvalue and sensitivities can be assigned by the quadratic programming method by numerical tests.

参考文献/References:

[1] RAM Y M, MOTTERSHEAD J E. Receptance metheod in active vibration control [J]. AIAA Journal, 2007(3):562-567.doi:10.2514/1.24349.
[2] 龚德恩. 利用矩阵广义逆的极点配置问题新解法 [J]. 华侨大学学报(自然科学版), 2000(1):101-106.doi:10.3969/j.issn.1000-5013.2000.01.022.
[3] MOTTERSHEAD J E, TEHRANI M G, RAM Y M. Assignment of eigenvalue sensitivities from receptance measurements [J]. Mechanical Systems and Signal Processing, 2009(6):1931-1939.
[4] BERTSEKAS D P. 凸分析与优化 [M]. 北京:清华大学出版社, 2007.
[5] NOCEDAL J, WRIGHT S J. Numerical optimization [M]. Beilin:Springer-Verlag, 2006.

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备注/Memo

备注/Memo:
国务院侨办科研基金资助项目(09QZR10)
更新日期/Last Update: 2014-03-23