A receptance method for robust and minimum norm partial quadratic eigenvalue assignment

被引：0

作者：

Xie, Huiqing ^{[1
]}

机构：

[1] East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

MECHANICAL SYSTEMS AND SIGNAL PROCESSING | 2021年 / 160卷

关键词：

Eigenvalue assignment; Robustness; Receptance method; POLE ASSIGNMENT;

D O I：

10.1016/j.ymssp.2021.107838

中图分类号：

TH [机械、仪表工业];

学科分类号：

0802 ;

摘要：

This paper considers the partial quadratic eigenvalue assignment problem (PQEAP) in active vibration control using state feedback. A receptance method is proposed for PQEAP such that the norms of feedback matrices and the condition number of close-loop system are simultaneously minimized. The real form of the proposed method is developed. The proposed method only uses receptance matrices and the unwanted eigenpairs of open-loop system. The system matrices and the unchanged eigenpairs of open-loop system are not required. The efficiency of the proposed method is illustrated by some numerical examples. (c) 2021 Elsevier Ltd. All rights reserved.

引用

页数：13

共 50 条

[1] A receptance method for robust and minimum norm partial quadratic eigenvalue assignment
Xie, Huiqing
[J]. 1600, Academic Press (160):
[2] Minimum norm partial quadratic eigenvalue assignment for vibrating structures using receptance method
Liu, Hao
He, Bin-Xin
Chen, Xiao-Ping
[J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2019, 123 : 131 - 142
[3] A Receptance-Based Optimization Approach for Minimum Norm and Robust Partial Quadratic Eigenvalue Assignment
Lu, Min
Bai, Zheng-Jian
[J]. CSIAM TRANSACTIONS ON APPLIED MATHEMATICS, 2021, 2 (02): : 357 - 375
[4] Minimum norm partial quadratic eigenvalue assignment with time delay in vibrating structures using the receptance and the system matrices
Bai, Zheng-Jian
Chen, Mei-Xiang
Datta, Biswa Nath
[J]. JOURNAL OF SOUND AND VIBRATION, 2013, 332 (04) : 780 - 794
[5] Robust and minimum norm partial quadratic eigenvalue assignment in vibrating systems: A new optimization approach
Bai, Zheng-Jian
Datta, Biswa Nath
Wang, Jinwei
[J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2010, 24 (03) : 766 - 783
[6] An optimization approach for minimum norm and robust partial quadratic eigenvalue assignment problems for vibrating structures
Brahma, Sanjoy
Datta, Biswa
[J]. JOURNAL OF SOUND AND VIBRATION, 2009, 324 (3-5) : 471 - 489
[7] Robust partial quadratic eigenvalue assignment with time delay using the receptance and the system matrices
Bai, Zheng-Jian
Yang, Jin-Ku
Datta, Biswa Nath
[J]. JOURNAL OF SOUND AND VIBRATION, 2016, 384 : 1 - 14
[8] A Sylvester-equation based parametric approach for minimum norm and robust Partial Quadratic Eigenvalue Assignment Problems
Brahma, Sanjoy
Datta, Biswa
[J]. 2007 MEDITERRANEAN CONFERENCE ON CONTROL & AUTOMATION, VOLS 1-4, 2007, : 1764 - +
[9] A Method for Robust Partial Quadratic Eigenvalue Assignment With Repeated Eigenvalues
Xie, Huiqing
[J]. JOURNAL OF DYNAMIC SYSTEMS MEASUREMENT AND CONTROL-TRANSACTIONS OF THE ASME, 2023, 145 (08):
[10] Schur method for robust partial quadratic eigenvalue assignment problem
Xie, Huiqing
Hu, Kang
[J]. Computational and Applied Mathematics, 2025, 44 (01)

← 1 2 3 4 5 →