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Synchronization of chaotic Lur’e systems using sampled-data PD control

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Abstract

This paper investigates the problem of sampled-data PD control for master–slave synchronization of chaotic Lur’e systems with time delays and external disturbance. For delayed chaotic Lur’e systems, some new synchronization criteria are derived by constructing a new Lyapunov function based on the sampled-data PD control. Furthermore, some less conservative synchronization criteria for chaotic Lur’e systems are obtained by employing a tighter bound technique to estimate the derivative of the Lyapunov function. The proposed sampled-data controller is designed by linear matrix inequality approach. Finally, a numerical example is presented to demonstrate the effectiveness of the proposed method.

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Authors and Affiliations

  1. Key Laboratory of Systems and Control, Academy of Mathematics and Systems Science, Academia sinica, Beijing, 100190, China

    Yajuan Liu

  2. Department of Electronic Engineering, Kyungpook National University, 80 Daehak-ro, Buk-gu, Daegu, 41566, Republic of Korea

    S. M. Lee

Authors
  1. Yajuan Liu
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  2. S. M. Lee
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Correspondence to S. M. Lee.

Additional information

This research was supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (2014R1A1A4A01003860).

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Liu, Y., Lee, S.M. Synchronization of chaotic Lur’e systems using sampled-data PD control. Nonlinear Dyn 85, 981–992 (2016). https://doi.org/10.1007/s11071-016-2737-x

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  • DOI: https://doi.org/10.1007/s11071-016-2737-x

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