Observability and Detectability of Singular Linear Systems with Unknown Inputs

Bejarano, Francisco Javier; Floquet, Thierry; Perruquetti, Wilfrid; Zheng, Gang

Document type :

Article dans une revue scientifique

DOI :

10.1016/j.automatica.2012.11.043

Title :

Observability and Detectability of Singular Linear Systems with Unknown Inputs

Author(s) :

Bejarano, Francisco Javier [Auteur]
Non-Asymptotic estimation for online systems [NON-A]
Floquet, Thierry [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]
Perruquetti, Wilfrid [Auteur]
Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]
Zheng, Gang [Auteur]

Systèmes Non Linéaires et à Retards [SyNeR]
Non-Asymptotic estimation for online systems [NON-A]

Journal title :

Automatica

Pages :

Publisher :

Elsevier

Publication date :

2013-03

ISSN :

0005-1098

English keyword(s) :

Singular systems
strong detectability
strong observability
algebraic observability

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Collections :

Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189

Source :

Harvested from HAL

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