A parametric poles assignment algorithm for second-order linear periodic systems

被引：24

作者：

Lv, Ling-Ling ^{[1
]}

Zhang, Zhe ^{[1
]}

Zhang, Lei ^{[2
]}

机构：

[1] North China Univ Water Resources & Elect Power, Inst Elect Power, Zhengzhou 450045, Henan, Peoples R China

[2] Henan Univ, Comp & Informat Engn Coll, Kaifeng 150001, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2017年 / 354卷 / 18期

基金：

中国国家自然科学基金; 中国博士后科学基金;

关键词：

EIGENSTRUCTURE ASSIGNMENT; COPRIME FACTORIZATION; MATRIX; OBSERVABILITY; FEEDBACK;

D O I：

10.1016/j.jfranklin.2017.09.029

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Poles assignment problem for second-order linear periodic system by using periodic proportion-plus-derivative (PD) state-feedback is considered in this paper. The poles assignment problem via periodic PD state-feedback in a class of discrete periodic second-order linear systems can be transformed into the problem of solving a class of constrained discrete periodic regulator equations. A complete parametric approach to poles assignment via periodic PD state-feedback is proposed based on the solutions to the discrete periodic regulator matrix equations. Based on the proposed parametric method, the consideration of the minimization problem and the robust problem of the plant system are proposed. Two numerical examples are presented to illustrate the effectiveness of the proposed approaches. (C) 2017 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：8057 / 8071

页数：15

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