Fault detection and approximation for a class of linear impulsive systems using sliding‐mode observer

The objective of this paper is to develop a method for fault detection and approximation of linear impulsive systems exposed to actuator faults. Utilizing proposed sliding mode observer, states of the impulsive system are estimated. It is proved that estimation error dynamical system is asymptotically stable between jumps. In addition, an upper bound of the state estimation errors at jump instants has been derived explicitly. State estimations are used to reconstruct the fault signal. Furthermore, an upper bound of the fault estimation errors is obtained. Proficiency of the proposed method is evaluated under different fault scenarios using numerical simulations. Copyright © 2015 John Wiley & Sons, Ltd.