Decentralized adaptive control for nonlinear interconnected systems under replay attack with dynamic output-triggering Decentralized adaptive control for nonlinear interconnected

• Published in: Nonlinear dynamics Vol. 113; no. 13; pp. 16779 - 16796
• Main Authors: Ding, Lusong, Sun, Weiwei, Shao, Linfang, Lv, Xinyu
• Format: Journal Article
• Language: English
• Published: Dordrecht Springer Netherlands 01.07.2025
• Subjects: Applications of Nonlinear Dynamics and Chaos Theory; Classical Mechanics; Control; Dynamical Systems; Physics; Physics and Astronomy; Statistical Physics and Dynamical Systems; Vibration; Replay attacks; High-gain observer; Event-triggered control; interconnected systems
• ISSN: 0924-090X; 1573-269X
• DOI: 10.1007/s11071-025-11024-3

This paper addresses a decentralized adaptive security control issue for nonlinear interconnected systems (NISs) with a dynamic event-triggered mechanism (ETM) subject to replay attacks, where the attack signals obey Bernoulli distribution. Different from the existing input triggering scheme, an improved dynamic ETM is designed in this work, where internal dynamic parameters are formulated by the exponential function of the triggered output. The system output is polluted by attack signal, indicating that the control design must rely on intermittent false output. Furthermore, the cyclic-small-gain condition is introduced to relax the assumption of unknown interconnections of the overall system. Consequently, a high-gain observer based on triggered and attacked outputs is developed to estimate the actual state. Utilizing the adaptive recursive technique, the decentralized secure controllers are designed for scenarios both without and with output triggering to ensure the stability of the system. It ensures that all signals within the closed-loop system remain bounded and also effectively prevents the occurrence of the Zeno phenomenon. The application of the proposed control scheme to power network system is also discussed.