Observer theory

P. A. Fuhrmann

doi:10.1016/j.laa.2007.08.042

Observer theory

P. A. Fuhrmann

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

13 Scopus citations

Abstract

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 Valcher and Willems [1999]. 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.

Original language	English
Pages (from-to)	44-136
Number of pages	93
Journal	Linear Algebra and Its Applications
Volume	428
Issue number	1
DOIs	https://doi.org/10.1016/j.laa.2007.08.042
State	Published - 1 Jan 2008

Keywords

Behavior homomorphisms
Behavioral observers
Behaviors
Geometric control
Internal model principle
Partial realizations
Partial state observers
State maps

ASJC Scopus subject areas

Algebra and Number Theory
Numerical Analysis
Geometry and Topology
Discrete Mathematics and Combinatorics

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10.1016/j.laa.2007.08.042

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AB - 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 Valcher and Willems [1999]. 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.

KW - Behavior homomorphisms

KW - Behavioral observers

KW - Behaviors

KW - Geometric control

KW - Internal model principle

KW - Partial realizations

KW - Partial state observers

KW - State maps

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Observer theory

Abstract

Keywords

ASJC Scopus subject areas

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