Abstract

This paper deals with chaos synchronization problem between two different uncertain fractional-order (FO) chaotic systems with disturbance based on FO Lyapunov stability analysis method. A T–S fuzzy neural network model as a universal approximator is constructed to approximate those uncertain terms and unknown parameters. An adaptive sliding mode control scheme is established, and the adaptive sliding mode control design procedure is proposed, which not only guarantees the stability and robustness of the proposed control method, but also guarantees that the external disturbance on the synchronization error can be attenuated. Finally, simulation results show applicability and feasibility of the proposed control strategy.

中文翻译：

---

一类分数阶混沌系统的基于模糊神经网络的混沌同步：自适应滑模控制方法

摘要

基于FO Lyapunov稳定性分析方法，研究了两个具有扰动的不确定分数阶混沌系统之间的混沌同步问题。建立AT–S模糊神经网络模型作为通用逼近器，以近似那些不确定项和未知参数。建立了一种自适应滑模控制方案，提出了一种自适应滑模控制设计程序，不仅保证了所提出控制方法的稳定性和鲁棒性，而且可以减小同步误差的外部干扰。最后，仿真结果表明了该控制策略的适用性和可行性。