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Composite synchronization control for delayed coupling complex dynamical networks via a disturbance observer-based method

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Abstract

Based on state feedback control approach and disturbance observer method, a new composite synchronization control strategy is presented in this study for a class of delayed coupling complex dynamical networks with two different types of disturbances. Herein, one of the disturbances is produced by an exogenous system which acts through the input channel, while the other is usual norm-bounded. The main objective of this study is to exactly estimate the disturbance at the input channel, whose output is integrated with the state feedback control law. In this study, the composite control strategy is designed in two forms according to the present and past states’ information about the system. By applying the Lyapunov–Krasovskii stability theory, a new set of sufficient conditions is obtained for the existence of both control strategies separately through the feasible solution of a series of matrix inequalities. The superiority and validity of the developed theoretical results are demonstrated by two numerical examples, wherein it is shown that the proposed control strategy is capable of handling multiple disturbances in the synchronization analysis.

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Acknowledgements

This research was supported by the Brain Research Program through the National Research Foundation of Korea(NRF) funded by the Ministry of Science, ICT and Future Planning (NRF-2017M3C7A1044815). This research was also supported by the Basic Science Research Program through the National Research Foundation of Korea (NRF) funded by the Ministry of Education, Science and Technology (NRF-2019R1I1A3A02058096). The work of Myeong-Jin Park was supported by the National Research Foundation of Korea (NRF) grant funded by the Korea government (MSIT; Ministry of Science and ICT) (NRF-2017R1C1B5076878).

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Authors and Affiliations

  1. School of Electrical Engineering, Chungbuk National University, Cheongju, 28644, Republic of Korea

    Boomipalagan Kaviarasan & Oh Min Kwon

  2. Center for Global Converging Humanities, Kyung Hee University, Yongin, 17104, Republic of Korea

    Myeong Jin Park

  3. Department of Applied Mathematics, Bharathiar University, Coimbatore, 641046, India

    Rathinasamy Sakthivel

  4. Department of Mathematics, Sungkyunkwan University, Suwon, 440746, Republic of Korea

    Rathinasamy Sakthivel

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  1. Boomipalagan Kaviarasan
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  2. Oh Min Kwon
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  3. Myeong Jin Park
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  4. Rathinasamy Sakthivel
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Correspondence to Oh Min Kwon or Rathinasamy Sakthivel.

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Kaviarasan, B., Kwon, O.M., Park, M.J. et al. Composite synchronization control for delayed coupling complex dynamical networks via a disturbance observer-based method. Nonlinear Dyn 99, 1601–1619 (2020). https://doi.org/10.1007/s11071-019-05379-7

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  • DOI: https://doi.org/10.1007/s11071-019-05379-7

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