Maximum correntropy state estimation for complex networks with uncertain inner coupling and amplify-and-forward relays

Abstract

In this paper, the remote state estimation problem is addressed for a class of discrete time-varying nonlinear complex networks subject to non-Gaussian noises, uncertain inner coupling, and amplify-and-forward (AF) relays. The coupling strengths are unknown but belong to predefined intervals, and the measurement signals are transmitted to the remote estimator via AF relays with stochastic channel gains. To effectively deal with the non-Gaussian noises, a novel correntropy-based estimator design index is proposed considering the uncertain inner coupling and the AF relays, and the parameters of the estimator are obtained via recursively maximizing the index through a fixed-point iterative update rule. Furthermore, sufficient conditions are established to guarantee the convergence of the fixed-point approach. Finally, a simulation example is used to demonstrate the effectiveness of the proposed estimation scheme.