一类非线性混沌系统的自适应滑模同步

doi:10.6040/j.issn.1672-3961.0.2019.573

Abstract

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

Chunrui CHENG,Beixing MAO. Adaptive sliding mode synchronization of a class of nonlinear chaotic systems[J].Journal of Shandong University(Engineering Science), 2020, 50(5): 1-6.

Figures/Tables 1

Fig.1

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Adaptive sliding mode synchronization of a class of nonlinear chaotic systems

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