Structural Analysis of the Partial State and Input Observability for Structured Linear Systems: Application to Distributed Systems

This paper deals with the partial state and input observability analysis for structured linear systems with an application to distributed systems. The proposed method is based on a graph-theoretic approach and assumes only the knowledge of the system's structure. More precisely, we express, in...

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Bibliographic Details
Published in:European journal of control 2009, Vol.15 (5), p.503-516
Main Authors: Boukhobza, Taha, Hamelin, Frédéric, Martinez-Martinez, Sinuhé, Sauter, Dominique
Format: Article
Language:English
Subjects:
Automatic
Distributed systems
Engineering Sciences
Graph theory
State and input observability
Structured linear systems
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Summary:This paper deals with the partial state and input observability analysis for structured linear systems with an application to distributed systems. The proposed method is based on a graph-theoretic approach and assumes only the knowledge of the system's structure. More precisely, we express, in simple graphic terms, necessary and sufficient conditions for the strong observability of a state or an input component. These results are then directly applied to study the observability of a distributed system in some different configurations. In fact, we define two configurations called decentralized interconnected observation scheme and decentralized autonomous observation scheme, for which we check whether or not any given part of the states or the inputs of a considered subsystem is strongly observable. All the provided conditions are easy to verify because they are based on comparison of integers and on finding paths in a digraph.
ISSN:0947-3580
1435-5671
DOI:10.3166/ejc.15.503-516