Interval Estimation for Linear Switched System

Djahid Rabehi (1) , Denis Efimov (2) , Jean-Pierre Richard (3, 2)

1 CRIStAL - Centre de Recherche en Informatique, Signal et Automatique de Lille - UMR 9189
2 NON-A - Non-Asymptotic estimation for online systems
3 Centrale Lille

In this paper, the problem of state estimation is investigated for linear switched system, a subclass of hybrid systems. It will be shown that the interval observer is very often exists under moderate conditions at least in discrete time instants from continuous-time measurements. The novelty consists in proposing new conditions of cooperativity for switched systems in discrete time instants, which guarantee errors nonnegativity of interval observation. The efficiency of the interval observers is shown through simulation examples.

Mots clés: Nonnegative dynamics; Interval observer; Switched system

Domaines: Automatique / Robotique

Djahid Rabehi, Denis Efimov, Jean-Pierre Richard. Interval Estimation for Linear Switched System. Proc. 20th IFAC WC 2017, Jul 2017, Toulouse, France. ⟨hal-01508762⟩