A hybrid adaptive synchronization protocol for nondeterministic perturbed fractional-order chaotic nonlinear systems

Advances in Difference Equations

article

Lin, Funing¹  Xue, Guangming¹  Su, Guangwang¹  Qin, Bin² 

[1] College of Information and Statistics, Guangxi University of Finance and Economics;Guangxi Key Laboratory Cultivation Base of Cross-Border E-Commerce Intelligent Information Processing, Guangxi University of Finance and Economics;Guangxi (ASEAN) Research Center of Finance and Economics, Guangxi University of Finance and Economics

关键词: Adaptive synchronization;    Backstepping-based method;    Explosion of complexity;    Fuzzy logic system;    Nondeterministic perturbed fractional-order chaotic system;   

DOI  :  10.1186/s13662-020-02608-x

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

In this paper, we investigate hybrid adaptive synchronization issue for a class of perturbed fractional-order chaotic systems with nondeterministic nonlinear terms. On the basis of fractional-order extended version of Lyapunov stability criterion, a novel fuzzy adaptive synchronization control protocol coupled with backstepping-based method is constructed, ensuring that the synchronization errors converge to a sufficiently small region of the origin. In order to avert the occurrence of “explosion of complexity”, we take advantage of a fuzzy logic system to estimate the unknown systematic term approximately in every backstepping step. Finally, some numerical simulations are given to exemplify the effectiveness of the proposed approach.

【 授权许可】

CC BY