Exponential synchronization of chaotic Lur'e systems with time-triggered intermittent control

Time-triggered intermittent control (TIC) is presented to investigate the exponential synchronization issue of chaotic Lur'e systems. The difference between intermittent control (IC) and TIC is that, on control time intervals, the former is updated in a continuous manner while the latter is updated at every sampling instant. In this work, the mathematical description of TIC is initially put forward with a time-triggered mechanism. Then, a mixed Lyapunov functional is constructed to obtain an exponential synchronization criterion. Meanwhile, two performance indexes are given. Finally, the validity of the theoretical result and the superiority of TIC over IC and sampled-data control (SC) are shown in a simulation example. (C) 2022 Elsevier B.V. All rights reserved.

Automated summary

This paper introduces time-triggered intermittent control (TIC) to investigate the exponential synchronization issue of chaotic Lur'e systems. By utilizing a time-triggered mechanism and constructing a mixed Lyapunov functional, an exponential synchronization criterion is obtained, and two performance indexes are given. Simulation results demonstrate the superiority of TIC over intermittent control (IC) and sampled-data control (SC).