Fault reconstruction for stochastic distribution system with time-delay

A new robust fault reconstruction is proposed for stochastic distribution system with additive fault and time-delay, which can effectively achieve the estimation of states and disturbance simultaneously, as well as fault reconstruction. In this framework, an augmented system is firstly constructed by using coordinate transformation and forming an augmented state with system states and disturbance. Next, a robust descriptor observer is designed to simultaneously estimate the states and the disturbance. And then, a sliding mode scheme is used for the designed observer so that the additive fault can be reconstructed. Finally, a numerical simulation showed the effectiveness of the proposed method.