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Adaptive sliding mode synchronization for a class of fractional-order chaotic systems with disturbance

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Abstract

This paper studies the fractional-order disturbance observer (FODO)-based adaptive sliding mode synchronization control for a class of fractional-order chaotic systems with unknown bounded disturbances. To handle unknown disturbances, the nonlinear FODO is explored for the fractional-order chaotic system. By choosing the appropriate control gain parameter, the disturbance observer can approximate the disturbance well. On the basis of the sliding mode control technique, a simple sliding mode surface is defined. A synchronization control scheme incorporating the introduced sliding mode surface and the designed disturbance observer is then developed. Under the control of the synchronization scheme, a good synchronization performance is realized between two identical fractional-order chaotic systems with different initial conditions. Finally, the numerical simulation results illustrate the effectiveness of the developed synchronization control scheme for fractional-order chaotic systems in the presence of external disturbances.

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Acknowledgments

This research is supported by National Natural Science Foundation of China (No. 61573184), Jiangsu Natural Science Foundation of China (No. SBK20130033), Program for New Century Excellent Talents in University of China (No. NCET-11-0830) and Specialized Research Fund for the Doctoral Program of Higher Education (No. 20133218110013).

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Authors and Affiliations

  1. College of Automation Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, Jiangsu, China

    Shuyi Shao, Mou Chen & Xiaohui Yan

  2. Jiangsu Key Laboratory of Internet of Things and Control Technologies, Nanjing University of Aeronautics and Astronautics, Nanjing, 211106, Jiangsu, China

    Shuyi Shao, Mou Chen & Xiaohui Yan

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  1. Shuyi Shao
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  2. Mou Chen
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Correspondence to Mou Chen.

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Shao, S., Chen, M. & Yan, X. Adaptive sliding mode synchronization for a class of fractional-order chaotic systems with disturbance. Nonlinear Dyn 83, 1855–1866 (2016). https://doi.org/10.1007/s11071-015-2450-1

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