Observability and Detectability of Singular ...
Type de document :
Compte-rendu et recension critique d'ouvrage
Titre :
Observability and Detectability of Singular Linear Systems with Unknown Inputs
Auteur(s) :
Bejarano, Francisco Javier [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Floquet, Thierry [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Perruquetti, Wilfrid [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Zheng, Gang [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]
Floquet, Thierry [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Perruquetti, Wilfrid [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Zheng, Gang [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Systèmes Non Linéaires et à Retards [SyNeR]
Titre de la revue :
Automatica
Pagination :
6
Éditeur :
Elsevier
Date de publication :
2013-03
ISSN :
0005-1098
Mot(s)-clé(s) en anglais :
Singular systems
strong detectability
strong observability
algebraic observability
strong detectability
strong observability
algebraic observability
Discipline(s) HAL :
Informatique [cs]/Automatique
Résumé en anglais : [en]
In this paper the strong observability and strong detectability of a general class of singular linear systems with unknown inputs are tackled. The case when the matrix pencil is non-regular is comprised (i.e., more than ...
Lire la suite >In this paper the strong observability and strong detectability of a general class of singular linear systems with unknown inputs are tackled. The case when the matrix pencil is non-regular is comprised (i.e., more than one solution for the differential equation is allowed). It is shown that, under suitable assumptions, the original problem can be studied by means of a regular (non-singular) linear system with unknown inputs and algebraic constraints. Thus, it is shown that for purposes of analysis, the algebraic equations can be included as part of an extended system output. Based on this analysis, we obtain necessary and sufficient conditions guaranteeing the observability (or detectability) of the system in terms of the zeros of the system matrix. Corresponding algebraic conditions are given in order to test the observability and detectability. A formula is provided that expresses the state as high order derivative of a function of the output, which allows for the reconstruction of the actual state vector. It is shown that the unknown inputs may be reconstructed also.Lire moins >
Lire la suite >In this paper the strong observability and strong detectability of a general class of singular linear systems with unknown inputs are tackled. The case when the matrix pencil is non-regular is comprised (i.e., more than one solution for the differential equation is allowed). It is shown that, under suitable assumptions, the original problem can be studied by means of a regular (non-singular) linear system with unknown inputs and algebraic constraints. Thus, it is shown that for purposes of analysis, the algebraic equations can be included as part of an extended system output. Based on this analysis, we obtain necessary and sufficient conditions guaranteeing the observability (or detectability) of the system in terms of the zeros of the system matrix. Corresponding algebraic conditions are given in order to test the observability and detectability. A formula is provided that expresses the state as high order derivative of a function of the output, which allows for the reconstruction of the actual state vector. It is shown that the unknown inputs may be reconstructed also.Lire moins >
Langue :
Anglais
Vulgarisation :
Non
Collections :
Source :
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