Observability analysis and sensor location study for structured linear systems in descriptor form with unknown inputs.
Fiche publication
Date publication
décembre 2011
Auteurs
Membres identifiés du Cancéropôle Est :
Pr BOUKHOBZA Taha
Tous les auteurs :
Boukhobza T, Hamelin F
Lien Pubmed
Résumé
This paper deals with the state and input right-hand side observability and the sensor location problem to ensure this property for structured linear systems in the descriptor form. The proposed method is based on a graph-theoretic approach. It is applicable to a large class of descriptor systems including regular and nonregular systems even if they are underdetermined, overdetermined or square. After defining a bipartite graph which represents such systems, we deduce some graphic necessary and sufficient conditions to achieve the right-hand side observability of the state and the input. Next, we propose a sensor placement procedure to recover this property. More precisely, we provide the minimal number of the sensors required and either their pertinent location or a necessary and sufficient condition to check if a given sensor configuration is adequate or not to ensure state and input right-hand side observability. Our approach uses algorithms with polynomial complexity orders and assumes only the knowledge of the system's structure and so is suited for large scale systems. (C) 2011 Elsevier Ltd. All rights reserved.
Référence
. 2011 Dec;47(12):2678-83.