Minimum norm partial eigenstructure assignment problems in high-order system via feedback control

被引：6

作者：

Yu, Peizhao ^{[1
]}

Wang, Chuang ^{[1
]}

Fang, Jie ^{[1
]}

Sun, Junwei ^{[1
]}

机构：

[1] Zhengzhou Univ Light Ind, Coll Elect & Informat Engn, Zhengzhou 450002, Peoples R China

来源：

OPTIMAL CONTROL APPLICATIONS & METHODS | 2022年 / 43卷 / 01期

基金：

中国国家自然科学基金;

关键词：

feedback control; gradient-based optimization method; high-order system; minimum norm; partial eigenstructure assignment; PARTIAL EIGENVALUE ASSIGNMENT; PARTIAL POLE ASSIGNMENT; 2ND-ORDER; ACCELERATION; ORTHOGONALITY;

D O I：

10.1002/oca.2774

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this article, the minimum norm partial eigenstructure assignment problem (MNPESAP) is considered in a symmetric high-order system using feedback control law with the highest-order derivative term. Two new orthogonality relations are constructed using the system matrices and undetermined feedback gains. The parametric expressions of the feedback controller and the necessary and sufficient condition for solving the partial eigenstructure assignment problem are derived. The Sylvester matrix equations and gradient formula are presented for solving MNPESAP. An algorithm is proposed to obtain the minimum norm solutions of feedback gains using gradient-based optimization method. Numerical examples are provided to verify the effectiveness of given results.

引用

页码：138 / 157

页数：20

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