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Synchronization for fractional order chaotic systems with uncertain parameters

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Abstract

This paper deals with the synchronization of fractional order chaotic systems with uncertain parameters. An adaptive control law consisting of fractional order feedback and sliding mode control is proposed. The two fractional order chaotic systems can be synchronized and the uncertain parameters can be identified under the controller and the update rule proposed. Illustrative example and numerical simulation results are provided to demonstrate the effectiveness of the control method proposed.

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Authors and Affiliations

  1. College of Electrical Engineering, Zhejiang University, 38 Zheda Rd., Hangzhou, 310027, China

    Qiao Wang & Dong-Lian Qi

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  1. Qiao Wang
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  2. Dong-Lian Qi
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Correspondence to Qiao Wang.

Additional information

Recommended by Associate Editor Sung ** Yoo under the direction of Editor PooGyeon Park. This work was supported by the National Natural Science Foundation of China (Grant No. 61171034) and Zhejiang Provincial Natural Science Foundation of China (Grant No. R1110443).

Qiao Wang received his M.S. degree in Zhejiang University, Hangzhou, China, in 2011. Currently, he is a Ph.D. candidate in Zhejiang University and his research interests include chaotic system analysis and control, and fractional nonlinear system control.

Dong-Lian Qi received her Ph.D. degree in Control Theory and Control Engineering from Zhejiang University, Hangzhou, China, in 2002. She is a professor of College of Electrical Engineering, Zhejiang University. Her research fields are nonlinear system analysis and control.

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Wang, Q., Qi, DL. Synchronization for fractional order chaotic systems with uncertain parameters. Int. J. Control Autom. Syst. 14, 211–216 (2016). https://doi.org/10.1007/s12555-014-0275-1

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  • DOI: https://doi.org/10.1007/s12555-014-0275-1

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