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Research on adaptive sliding synchronization of Rikitake chaotic system with single unknown control coefficient

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Abstract

The control of second order system with uncertain parameters and single unknown control coefficient was investigated to solve the synchronization problem of Rikitake chaotic with reduced number of active inputs. In addition, a kind of adaptive strategy was hybrid with sliding mode method, where the adaptive strategy was used to cope with uncertain parameters produced in the process of sliding mode controller design. At last, detailed numerical simulations with both second order systems and synchronous chaotic system were done to testify the rightness of the proposed method and also multi-time random simulations were done to testify the robustness of the controller. In addition, the main conclusion is that the sliding mode control has very good consistency since the strategy formation is almost the same as the controller for system with known control coefficient, and high gain is necessary for system with single uncertain control coefficient.

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Authors and Affiliations

  1. Department of Electrical and Electronic Engineering, Yantai Nanshan University, Yantai, 265713, China

    Youan Zhang

  2. Receiving and Training Center of New Equipments, Naval Aeronautical and Astronautical University, Yantai, China

    Heng Li & Ruwei Zeng

  3. Shandong Nanshan International Flight Co., LTD, Yantai, Shandong, 265713, China

    Jingmao Liu

  4. Department of Control Engineering, Naval Aeronautical and Astronautical University, Yantai, Shandong, 264001, China

    Junwei Lei

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  1. Youan Zhang
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  2. Heng Li
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  3. Jingmao Liu
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  4. Ruwei Zeng
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  5. Junwei Lei
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Correspondence to Youan Zhang.

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Zhang, Y., Li, H., Liu, J. et al. Research on adaptive sliding synchronization of Rikitake chaotic system with single unknown control coefficient. Aut. Control Comp. Sci. 51, 311–320 (2017). https://doi.org/10.3103/S0146411617050091

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  • DOI: https://doi.org/10.3103/S0146411617050091

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