Mittag-Leffler function based security control for fractional-order complex network system subject to deception attacks via Observer-based AETS and its applications

• Published in: Physica scripta Vol. 99; no. 8; pp. 85269 - 85285
• Main Authors: Mubeen Tajudeen, M, Perumal, R, Kumar Thakur, Ganesh, Priya, Bandana
• Format: Journal Article
• Language: English
• Published: IOP Publishing 01.08.2024
• Subjects: adaptive event triggered scheme; complex network system; deception attacks; mittag-Leffler (M-L) functions
• ISSN: 0031-8949; 1402-4896
• DOI: 10.1088/1402-4896/ad6485

The goal of this paper is to investigate the security control for uncertain fractional-order delayed complex network systems under deception attacks using the Mittag-Leffler function and observer-based adaptive event-triggered scheme (AETS) with the fractional commensurate order in q ∈ (0, 1). The adaptive event-triggering scheme is used during the data transmission process from the sensors to the observer, where the triggering threshold can be dynamically modified to reduce resource waste. We make a novel model for the estimation error system that takes into account both the effects of the adaptive event-triggered scheme and the effects of deception attacks. A sufficient condition is obtained to guarantee the stochastic mean-square stability of the augmented error system using the Mittag-Leffler (M-L) functions and the Lyapunov functional method and by using the singular value decomposition (SVD) and linear matrix inequality (LMI) techniques, the co-design problem of desired observer and controller gains is found, and it is shown that the solution ensures the stability of a closed-loop uncertain fractional-order complex networked system. At the end of this study, two numerical examples and diesel engine system model are given to show that the above findings are correct.