Diffusion self-triggered square-root cubature information filter for nonlinear non-Gaussian systems and its application to the optic-electric sensor network

Abstract

This article focuses on the problem of the distributed estimation for a class of discrete-time nonlinear non-Gaussian systems. In this paper, the non-Gaussian noises are approximated by the Gaussian mixture model. A novel method to merge the Gaussian components has been proposed in this article to improve its numerical stability. A diffusion Gaussian mixture square-root cubature information filter has been proposed in this paper. To ease the internode communication cost further, we design a self-triggered mechanism in this article. With the proposed mechanism, each sensor node transmits its information to its neighbors only when it’s necessary. The effectiveness of the proposed algorithm is verified through its application to an optic-electric sensor network.