Resilient state estimation for nonlinear complex networks with time-delay under stochastic communication protocol

Abstract

In this paper, the resilient state estimation problem is discussed for a class of discrete nonlinear complex networks with time-delay subject to the stochastic communication protocol (SCP). The SCP is employed to determine which node has the priority of accessing to the communication networks at each transmission instant. A switch-based approach is utilized to establish the updating rule of the measurement output under the SCP. The aim of the paper is to design a resilient state estimator for the addressed complex networks with time-delay and SCP, where sufficient conditions are given to ensure that the estimation error is exponentially ultimate bounded in the mean-square sense and the asymptotic upper bound of the estimation error is given. Moreover, the expression forms of the desired estimator gains are obtained via the solutions to a set of linear matrix inequalities. Finally, a numerical example is provided to illustrate the validity of the proposed resilient state estimation method.