Brief paper: Interval observer design for consistency checks of nonlinear continuous-time systems

Authors:
Tarek Raïssi;Gaétan Videau;Ali Zolghadri
Affiliations:
University of Bordeaux, IMS-lab, Automatic Control Group, 351 cours de la libération, 33405 Talence, France;University of Bordeaux, IMS-lab, Automatic Control Group, 351 cours de la libération, 33405 Talence, France;University of Bordeaux, IMS-lab, Automatic Control Group, 351 cours de la libération, 33405 Talence, France
Venue:
Automatica (Journal of IFAC)
Year:
2010

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Abstract

This paper deals with fault detection for nonlinear continuous-time systems. A procedure based on interval analysis is proposed to build a guaranteed qLPV (quasi-Linear Parameter-Varying) approximation of the nonlinear model. The interval qLPV approximation makes it possible to derive two point observers which estimate respectively the lower and the upper bound of the state vector using cooperativity theory. A set guaranteed to contain the actual value of the residual is then designed. The modelling uncertainties and measurement errors are taken into account at the design stage. The proposed methodology is illustrated through numerical simulations.