Title :

Unknown Input Functional Observability of Descriptor Systems with Neutral and Distributed Delay Effects

Author(s) :

Bejarano, Francisco [Auteur]
Instituto Politecnico Nacional [Mexico] [IPN]
Zheng, Gang [Auteur]
Deformable Robots Simulation Team [DEFROST ]

Journal title :

Automatica

Pages :

186-192

Publisher :

Elsevier

Publication date :

2017-07-04

ISSN :

0005-1098

English keyword(s) :

Descriptor systems
systems with time-delays
observability
unknown inputs
neutral delays

HAL domain(s) :

Informatique [cs]/Automatique

English abstract : [en]

In this paper a general class of linear systems with time-delays is considered, which includes linear classical systems, linear systems with commensurate delays, neutral systems and singular systems with delays. After given ...
Show more >In this paper a general class of linear systems with time-delays is considered, which includes linear classical systems, linear systems with commensurate delays, neutral systems and singular systems with delays. After given a formal definition of functional backward observability (BO), an easily testable condition is found. The fulfillment of the obtained condition allows for the reconstruction of the trajectories of the system under consideration using the actual and past values of the system output and some of its derivatives. The methodology we follow consists in an iterative algorithm based upon the classical Silverman algorithm used for inversion of linear systems. By using basic module theory we manage to prove that the proposed algorithm is convergent. A direct application of studying functional observability is that a condition can be derived for systems with distributed delays also, we do this as a case of study. The obtained results are illustrated by two examples, one is merely academic but illustrates clearly the kind of systems which the proposed methodology works for and the other is a practical system with distributed delays.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