From restricted isometry property to observability under sparse measurement

Khaled, Yassine; Barbot, Jean-Pierre; Busawon, Krishna; Benmerzouk, Djamila

Document type :

Communication dans un congrès avec actes

Title :

From restricted isometry property to observability under sparse measurement

Author(s) :

Khaled, Yassine [Auteur]
Électronique et Commande des Systèmes Laboratoire [ECS-Lab]
Barbot, Jean-Pierre [Auteur]
Électronique et Commande des Systèmes Laboratoire [ECS-Lab]
Non-Asymptotic estimation for online systems [NON-A]
Busawon, Krishna [Auteur]
Benmerzouk, Djamila [Auteur]

Conference title :

International Conference on Systems and Control

City :

Alger

Country :

Algérie

Start date of the conference :

2013-10-29

Publication date :

2013-10-29

HAL domain(s) :

Mathématiques [math]/Systèmes dynamiques [math.DS]

English abstract : [en]

In this paper, we show that it is possible to detect the active mode and reconstruct its associated state for a class of hybrid linear systems under sparse measurements. The solution we bring to this problem is firstly to ...
Show more >In this paper, we show that it is possible to detect the active mode and reconstruct its associated state for a class of hybrid linear systems under sparse measurements. The solution we bring to this problem is firstly to analyze the observability of systems under random sampling and secondly to synthesize a impulsive observer. Here, the first approach is based on the concept of compressive sampling which is well-known in signal processing theory. A synthesis of impulsive observers will presented for some special cases. These observers allows to detect the active mode and rebuild the state under sparse measurement. Simulation results are provided in order to highlight the wellfoundedness of the proposed approach.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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