Fault diagnosis for a class of descriptor linear parameter‐varying systems

SUMMARY In this paper, a model‐based fault estimation method for a particular class of discrete‐time descriptor linear parameter‐varying systems is developed. The main contribution of this work consists in the design of an observer that performs simultaneously both, the states estimation and the fault magnitude vectors, considered as unknown inputs. The conditions for the existence of such observer are given. Such conditions guarantee the observer stability and they are proved through a Lyapunov analysis combined with a linear matrix inequalities formulation. The fault estimation scheme is evaluated through numerical simulations.