Journal of Shandong University(Engineering Science) ›› 2020, Vol. 50 ›› Issue (5): 1-6.doi: 10.6040/j.issn.1672-3961.0.2019.573

• Control Science & Engineering •     Next Articles

Adaptive sliding mode synchronization of a class of nonlinear chaotic systems

Chunrui CHENG(),Beixing MAO   

  1. College of Mathematics, Zhengzhou University of Aeronautics, Zhengzhou 450015, Henan, China
  • Received:2019-09-28 Online:2020-10-20 Published:2020-10-19

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Abstract:

The synchronization of a class of nonlinear chaotic systems with model uncertainties and external disturbances was studied based on adaptive sliding mode control. A novel nonsingular terminal sliding surface was proposed and its stability was proved. On the basis of Lyapunov stability theory, a sliding mode control law was derived to force the trajectory of the synchronization error systems onto the sliding surface and to guarantee the occurrence of the sliding motion. The proposed control scheme was applied to synchronize chaos of integer order and fractional-order nonlinear chaotic systems in the presence of both model uncertainties and external disturbances. A numerical simulation taking the fractional Victor-Carmen system as the example demonstrated the applicability and efficiency of the proposed sliding mode control technique and verified the theoretical results of the research.

Key words: adaptive, chaos, nonlinear systems, sliding mode, synchronization

CLC Number: 

  • O482.4

Fig.1

The errors of fractional-order Victor-Carmen system"

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