A multi-step hybrid method for multi-input partial quadratic eigenvalue assignment with time delay

被引：26

作者：

Bai, Zheng-Jian ^{[1
]}

Chen, Mei-Xiang ^{[1
]}

Yang, Jin-Ku ^{[1
]}

机构：

[1] Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China

来源：

LINEAR ALGEBRA AND ITS APPLICATIONS | 2012年 / 437卷 / 07期

关键词：

Vibrating control; Partial quadratic eigenvalue assignment; Time delay; Receptance measurements; PARTIAL POLE-PLACEMENT; RECEPTANCE;

D O I：

10.1016/j.laa.2012.04.045

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A hybrid method was given by Ram et al. (2011) [15] for solving the partial quadratic eigenvalue assignment problem of single-input vibratory systems. In this paper, we consider the partial quadratic eigenvalue assignment problem of multi-input vibratory systems. We solve the multi-input partial quadratic eigenvalue assignment problem by a multi-step hybrid method using both the system matrices and the receptance measurements. Our method can assign the partial expected eigenvalues and keep the no spillover property. We also extend our method to the case when there exists time delay between measurements of state and actuation of control. Numerical tests show the effectiveness of our method. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：1658 / 1669

页数：12

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