An LMI approach to control oriented identification of LPV systems

Abstract

This paper proposes a control oriented identification framework for a class of linear parameter-varying (LPV) systems, that takes into account both the dependence of part of the model on time-varying parameters as well as the possible existence of a nonparametric component. The main result of the paper shows that the problems of establishing consistency of the data and of obtaining a nominal model for these systems can be recast as a linear matrix inequality feasibility problem that can be efficiently solved. These results are illustrated with a practical example arising in the context of active vision.