Event-based boundary control for hyperbolic distributed parameter systems under border-DoS attacks

Area of Science:

• Control Systems Engineering
• Network Security
• Applied Mathematics

Background:

• Hyperbolic distributed parameter systems (HDPSs) are susceptible to Denial-of-Service (DoS) attacks, compromising their stability and operational integrity.
• Existing boundary control methods for HDPSs often lack robustness against sophisticated DoS attack strategies.
• Minimizing sampling and control costs while maintaining system stability under cyber-attacks is a significant challenge.

Purpose of the Study:

• To develop a novel dynamic event-triggered boundary control (DETBC) strategy for HDPSs capable of withstanding DoS attacks.
• To address the critical issue of maintaining system stability in HDPSs when subjected to DoS attacks.
• To significantly reduce the computational and communication overhead associated with controlling HDPSs under adversarial conditions.

Main Methods:

• Design of a dynamic event-triggered boundary control (DETBC) mechanism utilizing a DoS attack-adapted switched observer.
• Construction of switched HDPS models incorporating state delays to simulate realistic attack scenarios.
• Application of the piecewise Lyapunov functional technique to rigorously analyze the exponential stability of the controlled systems.
• Proposal of a co-design scheme for optimizing controller and observer gains.

Main Results:

• The proposed DETBC strategy effectively ensures the exponential stability of HDPSs even under DoS attacks.
• The event-triggered approach leads to a substantial reduction in sampling and control actions, lowering operational costs.
• The DoS attack-adapted switched observer successfully identifies and adapts to the presence of DoS attacks.
• Theoretical findings are validated through a comprehensive numerical example.

Conclusions:

• The developed DETBC strategy offers a robust and efficient solution for controlling HDPSs in the presence of DoS attacks.
• This approach provides a practical framework for enhancing the resilience and cost-effectiveness of distributed parameter systems in cyber-physical environments.
• The study demonstrates the efficacy of event-triggered control and adapted observers in securing critical systems against network intrusions.