Interval estimation for LPV systems applying high order sliding mode techniques

Authors:
Denis Efimov;Leonid Fridman;Tarek RaïSsi;Ali Zolghadri;Ramatou Seydou
Affiliations:
Non-A project at INRIA - LNE, Parc Scientifique de la Haute Borne, 40 avenue Halley, Bt.A Park Plaza, 59650 Villeneuve d'Ascq, France;Dept. de Ingeniera de Control y Robtica, Facultad de Ingeniera UNAM, Edificio "Bernardo Quintana", Ciudad Universitaria D.F., Mexico;Conservatoire National des Arts et Mtiers (CNAM), Cedric - laetitia 292, Rue St-Martin, 75141 Paris, France;University of Bordeaux, IMS-lab, Automatic control group, 351 cours de la libration, 33405 Talence, France;University of Bordeaux, IMS-lab, Automatic control group, 351 cours de la libration, 33405 Talence, France
Venue:
Automatica (Journal of IFAC)
Year:
2012

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Abstract

In this paper, the problem of design of interval observers for Linear Parameter-Varying (LPV) systems, containing non-detectable or non-strongly-observable parts, is addressed. Firstly, a High Order Sliding Mode (HOSM) method is applied to the strongly observable subsystem, obtained by an appropriate change of coordinates, to estimate the state and its derivative. Secondly, this information is used to decrease the level of uncertainty in the rest of the system, which leads to improvement of accuracy of the set-membership estimates generated by an interval observer. Moreover, it is shown that HOSM techniques allows us to relax the applicability conditions of standard interval observer design methods. The efficiency of the proposed approach is demonstrated through simulation examples.