Observer theory

被引：12
|
作者：
Fuhrmann, P. A. [1 ]
机构：
[1] Ben Gurion Univ Negev, Dept Math, IL-84105 Beer Sheva, Israel
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2008年 / 428卷 / 01期
基金：
以色列科学基金会;
关键词：
partial state observers; geometric control; partial realizations; internal model principle; behaviors; behavior homomorphisms; behavioral observers; state maps;
D O I：
10.1016/j.laa.2007.08.042
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The paper is devoted to a comprehensive exposition of the theory of partial state observers in the state space context and the elucidation of the connection between this theory and the theory of observers in the behavioral context, as developed in [M.E. Valcher, J.C. Willems, Observer synthesis in the behavioral framework, IEEE Trans. Aut. Contr. 44 (1999) 2297-2307]. For this we use several techniques, including geometric control theory, polynomial and rational models, shift realizations, coprime factorizations, partial realizations and the basic results on behaviors and behavior homomorphisms. A connection between observers and the construction of state maps is made. (C) 2007 Elsevier Inc. All rights reserved.
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页码：44 / 136
页数：93
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