Polytopic Observer Design for LPV Systems Based on Minimal Convex Polytope Finding

Abstract

Linear Parameter Varying (LPV) systems are models widely encountered in the engineering field. In this paper, a systematic method is provided to design a polytopic observer whose goal is to reconstruct the state of discrete-time LPV systems. The method incorporates in an original manner a minimal convex polytope finding and thereby confers efficiency to the reconstruction technique. The proposed approach is illustrated in the context of secure communications based on chaotic parameter modulation.