论文标题
压电磁滞非线性的分数标准化BOUC-WEN模型
A Fractional-Order Normalized Bouc-Wen Model for Piezoelectric Hysteresis Nonlinearity
论文作者
论文摘要
本文提出了一种新的分数标准化的Bouc-wen（BW）（FONBW）模型，以描述压电电执行器（PEAS）的不对称和速率依赖性滞后非线性。鉴于经典BW（CBW）模型仅对对称和速率无关的滞后描述有效，FONBW模型通过采用Nth-d阶多核心输入功能和两个fractional opertors和两个fonbw模型，致力于表征豌豆中滞后的不对称和速率依赖性行为的事实。与传统的修改BW模型不同，提出的FONBW模型还通过归一化处理消除了CBW模型中参数的冗余。通过这种方式，开发的FONBW模型具有相对简单的数学表达式，具有较少参数，可以同时表征豌豆的不对称和速率依赖性滞后行为。模型参数通过自适应差异进化算法确定。为了验证所提出的模型的有效性，在PEA系统上进行了一系列模型验证和基于基于结构的反向结构的馈电控制实验。结果表明，在建模准确性和滞后补偿时，提出的模型优于CBW模型和传统的修改BW模型。
This paper presents a new fractional-order normalized Bouc-Wen (BW) (FONBW) model to describe the asymmetric and rate-dependent hysteresis nonlinearity of piezoelectric actuators (PEAs). In view of the fact that the classical BW (CBW) model is only efficient for the symmetric and rate-independent hysteresis description, the FONBW model is devoted to characterizing the asymmetric and rate-dependent behaviors of the hysteresis in PEAs by adopting an Nth-order polynomial input function and two fractional operators, respectively. Different from the traditional modified BW models, the proposed FONBW model also eliminates the redundancy of parameters in the CBW model via the normalization processing. By this way, the developed FONBW model has a relatively simple mathematic expression with fewer parameters to simultaneously characterize the asymmetric and rate-dependent hysteresis behaviors of PEAs. Model parameters are identified by the self-adaptive differential evolution algorithm. To validate the effectiveness of the proposed model, a series of model verification and inverse-multiplicative-structure-based feedforward control experiments are carried out on a PEA system. Results show that the proposed model is superior to the CBW model and traditional modified BW model in modeling accuracy and hysteresis compensation.
