Research on Master-Slave Synchronization of Time-Delay Lur’e Systems Based on Event Triggering

MA Jianwu; GAO Yan; GU Fengjiao; CHEN Lingqi

doi:10.21656/1000-0887.410228

Volume 42 Issue 7

Jul. 2021

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Article Navigation > Applied Mathematics and Mechanics > 2021 > 42(7): 751-763

MA Jianwu, GAO Yan, GU Fengjiao, CHEN Lingqi. Research on Master-Slave Synchronization of Time-Delay Lur’e Systems Based on Event Triggering[J]. Applied Mathematics and Mechanics, 2021, 42(7): 751-763. doi: 10.21656/1000-0887.410228

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Research on Master-Slave Synchronization of Time-Delay Lur’e Systems Based on Event Triggering

doi: 10.21656/1000-0887.410228

School of Electronic and Electrical Engineering, Shanghai University of Engineering Science, Shanghai 201600, P.R.China

Received Date: 2020-08-03
Rev Recd Date: 2020-10-27

Abstract

Abstract

The master-slave synchronization of chaotic Lur’e systems with time-varying delays was investigated based on the event-triggered sampled-data control. First, the transmission time delays contained in the systems were considered, and the system time delay model was constructed. Then, the Lyapunov-Krasovskii functionals with triple integrals were constructed, the Wirtinger integral inequality and the convex combination technique were combined to estimate the derivatives of the Lyapunov-Krasovskii functionals, and the sufficient conditions for the master-slave synchronization of the chaotic system were given. Application of the proposed event-triggered mechanism to master-slave synchronization can effectively reduce the sampled data transmission, alleviate the pressure on the network bandwidth, and improve the utilization rate of the network bandwidth. Finally, the numerical simulation of the time-delay Chua’s circuit verifies the effectiveness of the proposed synchronization criterion.
- chaotic Lur’e system,
- master-slave synchronization,
- event-triggered,
- sampled-data control

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References(27)

References

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