A hybrid approach for the estimation of time-varying delays of discrete-time systems

Meriem Halimi (1) , Gilles Millérioux (1) , Jamal Daafouz (1, 2)

1 CRAN - Centre de Recherche en Automatique de Nancy
2 IUF - Institut universitaire de France

This paper addresses the problem of the estimation of unknown time-varying delays of discrete-time systems. The problem is reformulated as a mode detection for hybrid systems with a switching law depending on the unknown delay. Some existing data-based residual methods used for the estimation of the mode of switching linear discrete-time systems are briefly reviewed and presented in a unified way. Furthermore, it is shown that the usual existence conditions of some detectors can be relaxed. Next, results concerning the so-called discernibility property are particularized to the hybrid formulation of the estimation problem. Finally, it is shown that the issue is especially interesting in the contex

Mots clés: Mode detection; switched systems; time-delayed systems

Domaines: Optimisation et contrôle [math.OC]

Meriem Halimi, Gilles Millérioux, Jamal Daafouz. A hybrid approach for the estimation of time-varying delays of discrete-time systems. 5th Symposium on System Structure and Control, IFAC Joint Conference 2013 SSSC, TDS, FDA, Feb 2013, Grenoble, France. pp.CDROM. ⟨hal-00842996⟩