Recursive Filtering for Time-Varying Discrete Sequential Systems Subject to Deception Attacks: Weighted Try-Once-Discard Protocol

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 52; no. 6; pp. 3704 - 3713
• Main Authors: Li, Xin, Wei, Guoliang, Ding, Derui, Liu, Shuai
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.06.2022; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Algorithms; Cybernetics; Deception attacks; Difference equations; discrete sequential systems (DSSs); IIR filters; Mathematical model; Predictive models; Protocols; recursive filter; Schedules; Spread spectrum communication; Time-varying systems; weighted try-once-discard (WTOD) protocol
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2021.3064653

In this article, recursive filtering is investigated for time-varying discrete sequential systems (DSSs) under weighted try-once-discard (WTOD) protocols, which are employed to govern the access authorization of a shared network in order to remit the communication burden. A transmission model, dependent on a Bernoulli distributed white sequence, is developed to describe the phenomenon of deception attacks. In light of the adopted protocol and the attack model, a recursive algorithm with the form of Riccati-like difference equations is developed to optimize the filtering performance in the mean square sense. Furthermore, by resorting to the mathematical induction, the convergence of the proposed recursive algorithm is discussed profoundly. Finally, a simulation example is presented to verify the availability of the designed recursive filter.