Generalized dynamic observers for LPV singular systems

Abstract This paper presents a simple method to synthesize an observer for linear parameter varying (LPV) singular systems, based on a new observer structure named generalized dynamic observer (GDO) for singular systems. The conditions for the existence and stability of the GDO are given in a set of linear matrix inequalities (LMIs). The demonstration of the stability is done through Lyapunov analysis. A numerical example is given to show the present approach.