This paper presents control and synchronization for two nonlinear chaotic systems in the presence of uncertainties and external disturbances based on an intuitionistic fuzzy control (IFC) scheme. Two classes of Chua and cubic Chua oscillators have been formulated as master and slave respectively. The master and slave systems have different initial conditions and parameters, which leads to the butterfly effect that rules the chaotic systems’ behaviour. IFC scheme is chosen as a different method that has not been used before to control and synchronize Chua and cubic Chua oscillators. The main objective of the IFC scheme is to collect more information about the system and provide flexibility for the controller that increases the robustness of the control system to uncertainties in the structure of the chaotic systems. The stability analysis of the overall system is guaranteed using Routh-Hurwitz and Lyapunov criteria. The simulation results accomplished to evaluate the effectiveness of the proposed control and to demonstrate its reliability to control Chua’s circuit system with a comparative study.

本文基于直觉模糊控制（IFC）方案，介绍了存在不确定性和外部干扰的两个非线性混沌系统的控制和同步。分别将Chua和三次Chua振荡器定义为主振荡器和从振荡器。主系统和从系统的初始条件和参数不同，这会导致蝴蝶效应控制混沌系统的行为。选择了IFC方案作为之前从未使用过的另一种方法来控制和同步Chua和三次Chua振荡器。IFC方案的主要目标是收集有关系统的更多信息，并为控制器提供灵活性，从而增加控制系统对混沌系统结构不确定性的鲁棒性。使用Routh-Hurwitz和Lyapunov标准可以保证整个系统的稳定性。仿真结果完成，以评估所提出控制的有效性，并通过比较研究证明其控制蔡氏电路系统的可靠性。