Interval state observer for nonlinear time varying systems

Authors:
Denis Efimov;Tarek RaïSsi;Stanislav Chebotarev;Ali Zolghadri
Affiliations:
Non-A project at INRIA - LNE, Parc Scientifique de la Haute Borne, 40 av. Halley, Bít.A Park Plaza, 59650 Villeneuve d'Ascq, France;Conservatoire National des Arts et Métiers (CNAM), Département EASY, Cedric - laetitia 292, Rue St-Martin, 75141 Paris, France;Department of Control Systems and Informatics, Saint Petersburg State University of Information Technologies Mechanics and Optics, Kronverkskiy av. 49, Saint Petersburg, 197101, Russia;University of Bordeaux, IMS-lab, Automatic control group, 351 Cours de la Libration, 33405 Talence, France
Venue:
Automatica (Journal of IFAC)
Year:
2013

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Abstract

This paper is devoted to the design of interval observers for Linear Time Varying (LTV) systems and a class of nonlinear time-varying systems in the output canonical form. An interval observer design is feasible if it is possible to calculate the observer gains making the estimation error dynamics cooperative and stable. It is shown that under some mild conditions the cooperativity of an LTV system can be ensured by a static linear transformation of coordinates. The efficiency of the proposed approach is demonstrated through numerical simulations.