Journal of Shandong University(Engineering Science) ›› 2018, Vol. 48 ›› Issue (5): 85-90.doi: 10.6040/j.issn.1672-3961.0.2018.139

• Control Science & Engineering • Previous Articles     Next Articles

Two methods for sliding mode synchronization of five-dimensional fractional-order chaotic systems with entanglement iterms

Dongxiao WANG()   

  1. College of Science, Zhengzhou University of Aeronautics, Zhengzhou 450046, Henan, China
  • Received:2018-04-04 Online:2018-10-01 Published:2018-04-04
  • Supported by:
    国家自然科学青年基金资助项目(NSFC11501525)

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Abstract:

Sliding mode synchronization of five-dimensional fractional-order chaotic systems with three entanglement iterms was studied based on classical and integral sliding mode methods. Sliding mode surfaces and controllers were designed in two methods and two sufficient conditions were arrived for entanglement chaotic systems to acquire sliding mode synchronization. The research conclusion illustrated that five-dimensional fractional-order entanglement chaotic systems were sliding mode synchronization under certain conditions. Numerical simulation showed the correctness and the effectiveness of the designed controller.

Key words: fractional-order, entanglement chaos, sliding mode, integral sliding mode, synchronization

CLC Number: 

  • O482.4

Fig.1

Chaotic attractor of systems (1)"

Fig.2

System error curves of theorem1"

Fig.3

System error curves of theorem2"

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