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

[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.

[学科分类] 航空航天科学

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