Journal of Shandong University(Engineering Science) ›› 2018, Vol. 48 ›› Issue (5): 91-94.doi: 10.6040/j.issn.1672-3961.0.2017.614

• Control Science & Engineering • Previous Articles     Next Articles

Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method

Chunyan WANG(),Jinhong DI   

  1. College of Electronic Communication Engineering, Zhengzhou University of Aeronautics, Zhengzhou 450015, Henan, China
  • Received:2017-12-14 Online:2018-10-20 Published:2017-12-14
  • Supported by:
    河南省科技攻关计划资助项目(172102210080)

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Abstract:

The problem of synchronization control of intergal-order and fractional-order multi-scroll chaotic systems were studied based on reduced-order method. Third fractional-order multi-scroll system was transferred into a first-order system. The chaotic synchronization sufficient conditions were arrived for the drive-response systems of fractional-order multi-scroll system which acquired synchronization using fractional-order Lyapunov. The strict proof in mathematics was given out, and the simulations examples demonstrated the efficient of the proposed method.

Key words: fractional-order, multi-scroll systems, reduced-order, synchronization

CLC Number: 

  • O482.4

Fig.1

The system error curves of theorem1"

Fig.2

The system error curves of theorem2"

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