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

The paper investigates event-based boundary control for hyperbolic distributed parameter systems (HDPSs) under Denial-of-Service (DoS) attacks. Differently from the existing boundary control for HDPSs, this work proposes a dynamic event-triggered boundary control (DETBC) design strategy for HDPSs that can resist DoS attacks. This method not only addresses the stability issue of controlling HDPSs during DoS attacks, but also dramatically reduces the cost of sampling and control. This paper uses a DoS attack-adapted switched observer to design a DETBC mechanism, and then constructs switched HDPSs with state delay. The piecewise Lyapunov functional technique is used to investigate the exponential stability of HDPSs. A co-design scheme for controller and observer gains is proposed. Finally, a numerical example is given to verify the validity of the theoretical results.