基于区间二型T S模糊系统的压电迟滞特性建模

为了辨识压电驱动器中固有的迟滞特性，提出了一种基于区间二型Takagi Sugeno(T S)模糊系统的建模方案。首先，引用垂直距离公式替换传统的误差计算公式，使聚类算法与所辨识的超平面结果直接相关联，并提出了改进的区间二型模糊C回归模型(FCRM)聚类算法用于模糊空间的划分，提高了区间划分精度。其次，针对超球型高斯隶属度函数与超平面型聚类算法结构不匹配的问题，引入了与超平面相匹配的超平面隶属度函数完成模糊前件参数的辨识，并利用最小二乘法完成模糊后件参数的辨识。最后，利用上述方案完成了压电驱动器迟滞特性的建模。实验结果证明该方案是有效的。

Modeling of Piezoelectric Hysteresis Based on Interval Type 2 T S Fuzzy System

In order to identify the inherent hysteresis characteristic of the piezoelectric actuator, a modeling scheme based on the interval type 2 Takagi Sugeno(T S) fuzzy system is proposed in this paper. First, the vertical distance formula is used to replace the traditional error calculation formula, so that the clustering algorithm is directly related to the identified regression plane results, and a modified interval type 2 fuzzy C regression model(FCRM) clustering algorithm is proposed to divide the fuzzy space and improve the accuracy of interval division. Second, in view of the problem that the hyperspherical Gaussian membership function does not match the structure of the hyperplane clustering algorithm; the hyperplane membership function matching with the hyperplane is introduced to complete the identification of the fuzzy antecedent parameters, and the least square method is used to identify the fuzzy consequent parameters. Finally, the hysteresis characteristics of the piezoelectric actuator are modeled by using the above mentioned scheme. The effectiveness of the proposed modeling method is verified by experiments.