Resilient Control of CPSs Under Mixed DoS Attacks: A Type-Dependent ADT Approach

• Published in: IEEE transactions on industrial informatics Vol. 20; no. 5; pp. 7832 - 7841
• Main Authors: Wang, Hui-Ting, Zhang, Kunwu, He, Yong, Shi, Yang
• Format: Journal Article
• Language: English
• Published: Piscataway IEEE 01.05.2024; The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
• Subjects: Adaptive control; Closed loop systems; Closed loops; Control systems; Control systems design; Control theory; Cyber-physical systems; Cyber-physical systems (CPSs); Delays; denial of service (DoS) attacks; Denial of service attacks; Dwell time; Feedback control; Liapunov functions; Switches; Switching; Time-frequency analysis; type-dependent average dwell time (ADT)
• ISSN: 1551-3203; 1941-0050
• DOI: 10.1109/TII.2024.3363091

This article studies the resilient control against mixed denial of service (DoS) attacks for cyber-physical systems (CPSs). Different from existing results, this work considers the presence of both zero- and hold-input attacks, where a unified model is introduced to describe mixed DoS attacks. Upon this model, the original CPS is reformulated as a switched system subject to a time-varying delay. To characterize the occurrence frequency and duration of zero- and hold-input attacks, the type-dependent average dwell time (ADT) switching is adopted. In the meantime, multiple discontinuous Lyapunov functions (MDLFs) suitable to the type-dependent ADT switching are employed. By virtue of the switching scheme and MDLFs, a piecewise feedback controller is designed to guarantee global uniform exponential stability and <inline-formula><tex-math notation="LaTeX">H_\infty</tex-math></inline-formula> performance of the closed-loop system. In addition, the developed control law is extended to an observer-based version, accommodating the case when the system state is not fully measurable. Finally, the effectiveness of our theoretical results is verified by two numerical examples.