Security Fuzzy Control of Nonlinear Semi-Markov Switching Systems With Event-Based Mechanism and Hybrid Cyber-Attacks

• Published in: IEEE transactions on systems, man, and cybernetics. Systems Vol. 53; no. 9; pp. 1 - 12
• Main Authors: Hu, Meng-Jie, Park, Ju H., Cheng, Jun, Xie, Lifei
• Format: Journal Article
• Language: English
• Published: New York IEEE 01.09.2023; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Bandwidth; Closed loops; Cyber-attack; Cyberattack; Cybersecurity; Denial of service attacks; Denial-of-service attack; event-triggered control; Feedback control; Fuzzy control; fuzzy system; Fuzzy systems; Liapunov functions; Nonlinear control; Power system stability; Security; semi-Markov system; Signal transmission; Subsystems; Switching; Switching systems
• ISSN: 2168-2216; 2168-2232
• DOI: 10.1109/TSMC.2023.3277554

This article is concerned with the security <inline-formula> <tex-math notation="LaTeX">\mathcal{H}_{\infty}</tex-math> </inline-formula> fuzzy control problem for Takagi-Sugeno (T-S) fuzzy semi-Markov switching systems (SMSSs) with event-based strategy and hybrid cyber-attacks. To efficiently use network resources and avoid unnecessary signal transmission, a new mode-dependent dynamic event-triggered mechanism (ETM), whose threshold parameter changes with varying states and modes is developed for each subsystem of fuzzy SMSSs. A more practical network environment subject to deception and denial-of-service (DoS) attacks is considered, and two Bernoulli distributed variables are adopted to characterize the randomly occurring hybrid attacks in a unified framework. By the mode-dependent Lyapunov function, sufficient conditions are attained to assure that the closed-loop system is stochastically stable with an <inline-formula> <tex-math notation="LaTeX">\mathcal{H}_{\infty}</tex-math> </inline-formula> attenuation performance. Finally, the validity and superiority of the proposed theoretical approach is demonstrated via its application to the Duffing-Van der Pols oscillator.