Hybrid observer design for switched linear systems using Differential Petri Net

This paper deals with hybrid observer design for state switched systems described by differential Petri nets (DPN). The structure herein proposed is composed of a discrete observer and a continuous observer that are in interaction. The discrete observer reconstructs the discrete mode, by estimating both of the discrete marking and the firing vectors. Once, the active mode is obtained, the continuous state is then estimated. Finally, the outputs of the continuous observer are used by the discrete observer in order to determine the components of the firing vector. Some simulation results illustrate the proposed approach.