State Estimation for General Complex Dynamical Networks With Packet Loss
Xu Wu, Guo‐Ping Jiang, Xinwei Wang · IEEE Transactions on Circuits & Systems II Express Briefs · 2017
The state estimation problem is investigated in this brief for discrete-time general complex dynamical networks with packet loss happening in the transmission channel between original and observer networks. A set of random variables satisfying the Bernoulli distribution is used to describe the phenomenon of the packet loss. In order to eliminate the influence of packet loss, we substitute the observer outputs for the missing original network outputs when the packet loss happens. By applying the Lyapunov stability theory and the stochastic analysis method, a sufficient condition for state estimation is derived in terms of linear matrix inequalities. Based on the bisection method, we propose an algorithm to obtain the maximally allowable packet loss probability for state estimation. If the real packet loss probability is smaller than the maximally allowable value, the state estimation problem is feasible. Finally, it is demonstrated by simulation that the proposed scheme is feasible and effective.