Resilient state estimation for complex networks under stochastic communication protocol

Abstract

This paper investigates the resilient state estimation problem for a class of discrete-time nonlinear complex networks subject to the stochastic communication protocol (SCP). The SCP is used to regulate which node has the priority of accessing the communication network at each transmission step and a switch-based approach is utilized to establish the updating rule of the measurement output under the SCP. Based on the stochastic analysis approach and the linear matrix inequalities (LMIs) method, sufficient conditions are obtained to guarantee that the error dynamics system is exponentially ultimately bounded in mean-square. Moreover, the estimator gains are obtained according to the solution to a set of LMIs. Finally, a numerical example is provided to illustrate the validity of the proposed resilient state estimation method.