On the periodic Sylvester equations and their applications in periodic Luenberger observers design

被引：34

作者：

Lv, Lingling ^{[1
]}

Zhang, Lei ^{[2
]}

机构：

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

[2] Henan Univ, Comp & Informat Engn Coll, Kaifeng 475004, Peoples R China

来源：

JOURNAL OF THE FRANKLIN INSTITUTE-ENGINEERING AND APPLIED MATHEMATICS | 2016年 / 353卷 / 05期

基金：

中国国家自然科学基金;

关键词：

LINEAR-SYSTEMS; FAULT-DETECTION; FEEDBACK; STABILIZATION; ASSIGNMENT; STABILITY; ROBUST;

D O I：

10.1016/j.jfranklin.2014.09.011

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 note, we dedicate to solving the forward-time discrete periodic Sylvester matrix equations (FDPSE) and the reverse-time discrete periodic Sylvester matrix equations (RDPSE), which are frequently encountered in the analysis and design of linear discrete-time periodic systems. Explicit and complete parametric solutions to these equations are derived without any constraints on the coefficient matrices. As one of the most important applications of the periodic Sylvester matrix equations, periodic Luenbergertype observers design problem for linear discrete-time periodic systems is solved in the paper. Necessary and sufficient conditions for the existence of Luenberger observers are established, and a parametric design algorithm for Luenberger observers is presented. A numerical example is worked out to illustrate the effectiveness of our results. (C) 2014 The Franklin Institute. Published by Elsevier Ltd. All rights reserved.

引用

页码：1005 / 1018

页数：14

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