Security Control for a Fuzzy System under Dynamic Protocols and Cyber-Attacks with Engineering Applications

Mourad Kchaou, Cecilia Castro (), Rabeh Abbassi, Víctor Leiva () and Houssem Jerbi
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Mourad Kchaou: Department of Electrical Engineering, College of Engineering, University of Ha’il, Hail 2440, Saudi Arabia
Cecilia Castro: Centre of Mathematics, Universidade do Minho, 4710-057 Braga, Portugal
Rabeh Abbassi: Department of Electrical Engineering, College of Engineering, University of Ha’il, Hail 2440, Saudi Arabia
Víctor Leiva: School of Industrial Engineering, Pontificia Universidad Católica de Valparaíso, Valparaíso 2362807, Chile
Houssem Jerbi: Department of Industrial Engineering, College of Engineering, University of Ha’il, Hail 2440, Saudi Arabia

Mathematics, 2024, vol. 12, issue 13, 1-34

Abstract: The objective of this study is to design a security control for ensuring the stability of systems, maintaining their state within bounded limits and securing operations. Thus, we enhance the reliability and resilience in control systems for critical infrastructure such as manufacturing, network bandwidth constraints, power grids, and transportation amid increasing cyber-threats. These systems operate as singularly perturbed structures with variables changing at different time scales, leading to complexities such as stiffness and parasitic parameters. To manage these complexities, we integrate type-2 fuzzy logic with Markov jumps in dynamic event-triggered protocols. These protocols handle communications, optimizing network resources and improving security by adjusting triggering thresholds in real-time based on system operational states. Incorporating fractional calculus into control algorithms enhances the modeling of memory properties in physical systems. Numerical studies validate the effectiveness of our proposal, demonstrating a 20% reduction in network load and enhanced stochastic stability under varying conditions and cyber-threats. This innovative proposal enables real-time adaptation to changing conditions and robust handling of uncertainties, setting it apart from traditional control strategies by offering a higher level of reliability and resilience. Our methodology shows potential for broader application in improving critical infrastructure systems.

Keywords: dynamic event-triggering mechanism; interval type-2 fuzzy logic; Markov jump systems; MATLAB software; singularly perturbed systems (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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