Distributed state and fault estimation of complex networks with time-varying topology

This paper studies the problems of state and fault estimation for a class of discrete-time complex networks with multiplicative fault and time-varying topology. The system state and actuator faults are augmented, and a suitable estimator is designed for each node. In order to obtain a more reliable estimation effect, a distributed estimator is designed, which only relies on information from local node and adjacent nodes. Then, by using inequality technique and mathematical induction, the upper bound of the estimated error covariance is obtained, and the filter gain is calculated to minimize the upper bound. Meanwhile, the filter is designed through solving recursive matrix equation. Besides, a sufficient condition for the existence of estimator is given. Finally, the effectiveness of the proposed method is verified by a simulation example.