In this paper the problem of multi-synchronization with time-varying switching modes is introduced and a novel adaptive control method is designed. Unlike to the most studies, in addition to the unknown dynamics, the values of fractional-orders and control input nonlinearities are also considered to be unknown. A new fractional-order dynamic model on basis of non-singleton interval type-3 fuzzy logic system (NIT3-FLS) is presented to estimate the uncertainties. A fractional-order tuning rule is derived to optimize NIT3-FLS. An adaptive compensator is designed to tackle the effects of approximation errors, switching of synchronization modes and dynamic uncertainties and perturbations. The superiority of the suggested control scheme is verified through the several simulations and comparisons with the other control systems and other kind of FLSs.

本文介绍了具有时变切换模式的多同步问题，并设计了一种新颖的自适应控制方法。与大多数研究不同，除未知动力学外，分数阶和控制输入非线性的值也被认为是未知的。提出了一种基于非单区间三型模糊逻辑系统（NIT3-FLS）的分数阶动力学模型，用于估计不确定性。导出分数阶调整规则以优化NIT3-FLS。自适应补偿器旨在解决逼近误差，同步模式切换以及动态不确定性和扰动的影响。通过几次仿真以及与其他控制系统和其他FLS的比较，验证了所建议控制方案的优越性。