超磁致伸缩作动器率相关磁滞环的模糊建模

超磁致伸缩作动器的输入输出特性中存在磁滞非线性现象,它在很大程度上影响了振动主动控制的精度及其稳定性.针对这一非线性特性,提出了基于模糊树模型的建模方法,为了产生适合模糊树建模的数据,首先将原来磁滞环中的一维输入空间映射到高维输入空间,从而将磁滞环一维输入空间的多值函数问题变为高维输入空间的单值函数问题.该方法结构简单,计算量低,对输入数据维数不敏感,通过数值算例表明了该方法的有效性. 

Fuzzy modeling of rate-dependent hysteresis loop in giant magnetostrictive actuator

Hysteresis is a strongly nonlinear phenomenon which exists in the input and output property of a giant magnetostrictive actuator,which has influence on the precision and stability of active vibration control.So a method based on fuzzy tree model was presented to describe the hysteresis nonlinearity of giant magnetostrictive actuator.In order to obtain the data which was adapt to fuzzy tree modeling,the original one-dimension input space was first projected on a high dimension input space,then the multivalued function in one-dimension space could be converted into the single value function in the high dimension space.The proposed method has a simple architecture,which is of low computational load and is insensitive to the dimension of input-data set.The numerical simulation shows that the method is effective.