Dissipativity-Based Event-Triggered Control for 2-D CPSs Under Denial-of-Service Attacks

Abstract

This article investigates the issue of dissipativity-based event-triggered control for two-dimensional cyber-physical systems subject to denial-of-service attacks. Throughout the analysis process, it is assumed that attacks are launched on both the measurement and control channels, thereby obstructing information exchange over the network. The attacks are characterized by their denial-of-service frequency and duration, which facilitates the dissipative stability analysis of the resulting augmented system. The closed-loop dynamics are represented as a switched system that integrates both stable and unstable modes. Sufficient conditions are derived to ensure exponential stability and strict dissipativity. Furthermore, an observer-based event-triggered controller is designed using the proposed dissipative stability criterion. Finally, a simulation example is provided to validate the effectiveness of the developed control strategy. Note to Practitioners—This study addresses secure control of two-dimensional cyber-physical systems subject to denial-of-service attacks, with applications in industrial processes exhibiting multi-directional dynamics such as thermal processing and metal rolling. The tight cyber-physical integration in such systems poses dual challenges: limited communication bandwidth and vulnerability to malicious attacks that disrupt data transmission. To simultaneously mitigate these issues, a dissipativity-based event-triggered control framework is developed, which reduces communication load while maintaining resilience against denial-of-service attacks. The main engineering contribution is a systematic design of an observer-based event-triggered controller that guarantees stability under denial-of-service. This work bridges dissipativity theory with security control for two-dimensional cyber-physical systems, providing a novel methodology applicable to bandwidth-sensitive and safety-critical industrial systems.