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

Francisco Bejarano 1 Gang Zheng 2
2 DEFROST - Deformable Robots Simulation Team
Inria Lille - Nord Europe, CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille (CRIStAL) - UMR 9189
Abstract : 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.
Type de document :
Article dans une revue
Automatica, Elsevier, 2017, 85, pp.186-192
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Soumis le : lundi 27 novembre 2017 - 15:50:10
Dernière modification le : vendredi 15 février 2019 - 14:19:43


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  • HAL Id : hal-01649577, version 1


Francisco Bejarano, Gang Zheng. Unknown Input Functional Observability of Descriptor Systems with Neutral and Distributed Delay Effects. Automatica, Elsevier, 2017, 85, pp.186-192. 〈hal-01649577〉



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