Design of switched observer using Timed Differential Petri Nets: A dwell time approach

Abstract

This paper deals with hybrid observer design for a class of switched systems. The latter are described by Timed Differential Petri Nets (TDPN) that are characterized by a dwell time ensuring the stability of the considered system. The observer structure is composed of a discrete observer and a continuous observer that are in interaction. The discrete observer reconstructs the discrete mode, by estimating both discrete marking and the firing vectors. Once, the active mode is obtained, the continuous state is estimated. Thus, the outputs of the continuous observer are used to update the marking and the firing vector. Some simulation results illustrate the proposed approach.