State and unknown input estimation for linear discrete-time systems

Authors:
Thierry Floquet;Jean-Pierre Barbot
Affiliations:
LAGIS UMR CNRS 8146, Ecole Centrale de Lille, BP 48, Cité Scientifique, 59651 Villeneuve-d'Ascq, France;Equipe Commande des Systèmes (ECS-EA 3649), ENSEA, 6 Avenue du Ponceau, 95014 Cergy Cedex, France
Venue:
Automatica (Journal of IFAC)
Year:
2006

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Abstract

In this paper, a state and unknown input delayed estimator is designed for discrete-time linear systems even if some well-known matching condition does not hold. This result is obtained using a constructive algorithm that analyzes the state observability and the left invertibility of the systems with unknown inputs and that provides a suitable canonical transformation for the design of the estimator.