Resilient Hybrid Event-Triggered Control for Secure Synchronization of Lur'e Systems Against DoS Attacks

In this paper, a resilient hybrid event-triggered (RHET) scheme is presented to deal with the secure synchronization issue of Lur'e systems to resist denial-of-service (DoS) attacks. The causes of considering this issue are threefold: 1) networked control systems (NCSs) are always limited by the network bandwidth and are vulnerable to DoS attacks 2) the existing models cannot describe the RHET control systems under DoS attacks and 3) the existing functionals are either inappropriate or conservative for addressing the secure synchronization problem. To overcome these challenges, an RHET scheme which is integrates of the sampled-data control and the continuous event-triggered control, is firstly proposed to reduce the effect of DoS attacks as well as the number of data release. On this basis, a switched closed-loop system model for Lur'e systems under RHET control and DoS attacks is established. By fully employing the state information in the sampling interval and the attack interval, two multi-interval-dependent functionals are designed to conduct the stability analysis. Subsequently, the continuity of the constructed functionals, the convex combination technique and some estimation techniques are jointly utilized to derive the exponential synchronization results and to design a secure controller. Finally, two simulation examples, including a hyperchaotic system and a neural network, are utilized to testify the effectiveness of the presented RHET control method in achieving the secure synchronization.