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Finite-time projective synchronization of fractional-order chaotic systems via soft variable structure control

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Abstract

The finite-time projective synchronization of two fractional-order chaotic systems with control constraints is investigated in this study. A soft variable structure control scheme is first introduced for finite-time synchronization. A controller is then proposed for finite-time generalized projective synchronization. The finite-time stability of the error systems is rigorously proven. The control parameters of the controller are limited by the soft variable structure method considering the constraints of the controller. Finally, numerical simulation results are presented to demonstrate the effectiveness and feasibility of the proposed strategy and verify the theoretical results.

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Authors and Affiliations

  1. School of Electrical Engineering Information, Northeast Petroleum University, Daqing, China

    Keyong Shao & Haoxuan Guo

  2. Market Supervision and Administration Bureau of Mudanjiang, Mudanjiang, China

    Feng Han

Authors
  1. Keyong Shao
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  2. Haoxuan Guo
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  3. Feng Han
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Corresponding author

Correspondence to Keyong Shao.

Additional information

Recommended by Editor Ja Choon Koo

Keyong Shao is currently a Professor at the School of Electrical and Information Engineering, Northeast Petroleum University. He was born in Huaiyang, Henan Province, China in 1970. He received his B.S. degree from Daqing Northeast Petroleum Institute in 1992, his M.S. degree from Northeast University, Shenyang, China in 2000, and his Ph.D. in Control Theory and Control Engineering from Northeast University, Shenyang, China in 2003. His main research interests include robust control and fractional-order system theory.

Haoxuan Guo received his B.S. and M.S. degrees in Control Theory and Control Engineering from Northeast Petroleum University, China in 2012 and 2019, respectively. His main research interests include soft variable structure control and fractional-order system theory.

Feng Han received his B.S. and M.S. degrees in Control Theory and Control Engineering from Northeast Petroleum University, China in 2012 and 2018, respectively. His main research interests include sliding-mode control and fractional- order system theory

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Shao, K., Guo, H. & Han, F. Finite-time projective synchronization of fractional-order chaotic systems via soft variable structure control. J Mech Sci Technol 34, 369–376 (2020). https://doi.org/10.1007/s12206-019-1236-7

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  • DOI: https://doi.org/10.1007/s12206-019-1236-7

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