In this paper, a novel control approach is proposed for a class of uncertain nonlinear system with unmodeled dynamics. Each output of the system is modeled by several first-order dynamic fractional-order fuzzy systems. The best dynamic model is selected at a period of time and the control signal is designed based on this model. The dynamic fractional-order models are based on the special case of general type-2 fuzzy systems which are called interval type-3 fuzzy logic systems (IT3FLSs). The adaptation laws for the consequent parameters of IT3FLSs are derived through stability analysis of the fractional-order systems based on the linear matrix inequality approach. The effectiveness of the proposed scheme is verified by normal simulation on the hyperchaotic Lorenz system with unmodeled dynamics, real-time simulation on the chaotic model of the brushless DC motors using Arduino boards and experimental examination on a heat transfer system with fully unknown dynamics.

在本文中，针对一类具有非建模动力学的不确定非线性系统，提出了一种新颖的控制方法。系统的每个输出都由几个一阶动态分数阶模糊系统建模。在一段时间内选择最佳动态模型，并根据该模型设计控制信号。动态分数阶模型基于一般的类型2模糊系统（称为区间类型3模糊逻辑系统（IT3FLS））的特殊情况。通过基于线性矩阵不等式方法的分数阶系统的稳定性分析，得出了IT3FLS的后续参数的自适应律。通过对超混沌Lorenz系统进行无模型动力学的常规仿真，验证了所提方案的有效性，