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Constrained predictive synchronization of discrete-time chaotic Lur’e systems with time-varying delayed feedback control

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Abstract

This paper presents a predictive synchronization method for discrete-time chaotic Lur’e systems with input constraints by using time-varying delayed feedback control. Based on the model predictive control scheme, a delay-dependent stabilization criterion is derived for the synchronization of chaotic systems that is represented by Lur’e systems with input constraints. By constructing a suitable Lyapunov–Krasovskii functional and combining with a reciprocally convex combination technique, a delay-dependent stabilization condition for synchronization is obtained via linear matrix inequality (LMI) formulation. The control inputs are obtained by solving a min-max problem subject to cost monotonicity, which is expressed in terms of LMIs. The effectiveness of the proposed method will be verified throughout a numerical example.

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Acknowledgements

This work was supported in part by MEST & DGIST (12-IT-04, Development of the Medical & IT Convergence System). This research was also supported by Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science, and Technology (2010-0011460).

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Authors and Affiliations

  1. School of Electrical Engineering, Chungbuk National University, 52 Naesudong-ro, Heungduk-gu, Cheongju, 361-763, Republic of Korea

    O. M. Kwon

  2. Division of IT-Convergence, Daegu Gyeongbuk Institute of Science & Technology, 50-1 Sang-Ri, Hyeonpung-Myeon, Dalseong-gun, Daegu, 711-873, Republic of Korea

    J. W. Son

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

    S. M. Lee

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  1. O. M. Kwon
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Correspondence to S. M. Lee.

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Kwon, O.M., Son, J.W. & Lee, S.M. Constrained predictive synchronization of discrete-time chaotic Lur’e systems with time-varying delayed feedback control. Nonlinear Dyn 72, 129–140 (2013). https://doi.org/10.1007/s11071-012-0697-3

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  • DOI: https://doi.org/10.1007/s11071-012-0697-3

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