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Further results on sampled-data control for master–slave synchronization of chaotic Lur’e systems with time delay

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Abstract

This paper is concerned with the problem of sampled-data control for master–slave synchronization of chaotic Lur’e systems with time delay. The sampling periods are assumed to be arbitrary but bounded. A new Lyapunov functional is constructed, in which the information on the nonlinear function and the actual sampling pattern have been taken fully into account. By employing the Lyapunov functional and a tighter bound technique to estimate the derivative of the Lyapunov functional, a less conservative exponential synchronization criterion is established by analyzing the corresponding synchronization error systems. Furthermore, the derived condition is employed to design a sampled-data controller. The desired controller gain matrix can be obtained by means of the linear matrix inequality approach. Simulations are provided to show the effectiveness and the advantages of the proposed approach.

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Acknowledgments

This work of H.B. Zeng was supported in part by the National Natural Science Foundation of China under Grant Nos. 61304064 and 61273157. Also, the work of J.H. Park was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2013R1A1A2A10005201).

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Authors and Affiliations

  1. School of Electrical and Information Engineering, Hunan University of Technology, Zhuzhou, 412007, China

    Hong-Bing Zeng & Shen-Ping Xiao

  2. Department of Electrical Engineering, Yeungnam University, 280 Daehak-Ro, Kyongsan, 712-749, Republic of Korea

    Hong-Bing Zeng & Ju H. Park

  3. Department of Electronic Engineering, Daegu University, Gyungsan, 712-714, Republic of Korea

    Yajuan Liu

Authors
  1. Hong-Bing Zeng
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  2. Ju H. Park
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  3. Shen-Ping Xiao
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  4. Yajuan Liu
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Correspondence to Ju H. Park.

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Zeng, HB., Park, J.H., Xiao, SP. et al. Further results on sampled-data control for master–slave synchronization of chaotic Lur’e systems with time delay. Nonlinear Dyn 82, 851–863 (2015). https://doi.org/10.1007/s11071-015-2199-6

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  • DOI: https://doi.org/10.1007/s11071-015-2199-6

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