Distributed filtering based on Cauchy-kernel-based maximum correntropy subject to randomly occurring cyber-attacks. (January 2022)

• Record Type: Journal Article
• Authors: Song, Haifang; Ding, Derui; Dong, Hongli; Yi, Xiaojian
• Is Part Of: Automatica. Volume 135(2022)
• Publication Date: 2022-01
• Subjects: Distributed filtering -- Maximum correntropy -- Fixed-point iteration -- Cyber-attacks -- Non-Gaussian noises; Automatic control -- Periodicals; Automation -- Periodicals; 629.805
• DOI: 10.1016/j.automatica.2021.110004
• Languages: English
• ISSNs: 0005-1098

Abstract

Abstract: This paper is concerned with the distributed filtering issue under the Cauchy-kernel-based maximum correntropy for large-scale systems subject to randomly occurring cyber-attacks in non-Gaussian environments. The considered cyber-attacks are hybrid and consist of both denial-of-service attacks and deception attacks. The weighted Cauchy kernel-based maximum correntropy criterion instead of the traditional minimum variance is put forward to evaluate the filtering performance against non-Gaussian noises as well as cyber-attacks. Based on the matrix decomposition and the fixed-point iterative update rules, the desired filter gain related with a set of Riccati-type equations is obtained to achieve the optimal filtering performance. Then, an improved version only dependent on the local information and neighboring one-step prediction is developed to realize the distributed implementation. Furthermore, the convergence of the developed fixed-point iterative algorithm is addressed via the famous Banach fixed-point theorem. Finally, a standard IEEE 39-bus power system is utilized to show the merit of the proposed distributed filtering algorithm in the presence of cyber-attacks and non-Gaussian noises.