控制工程 ›› 2019, Vol. 26 ›› Issue (3): 566-569.

• 建模与仿真系统 • 上一篇    下一篇

基于Duhem算子的极限学习机迟滞建模

  

  • 出版日期:2019-03-20 发布日期:2023-10-26

Hysteresis Modeling of Extreme Learning Machine Based on Duhem Operator

  • Online:2019-03-20 Published:2023-10-26

摘要: 在高精度定位领域中,压电执行器(PEAs)被广泛应用,但其存在着固有的迟滞非线性特性,大大降低了它的控制性能。为了消除迟滞影响,提高压电执行器的控制精度,需建立其迟滞非线性模型。通过引入Duhem迟滞算子来将迟滞的多值映射转化为一对一映射关系,应用极限学习机算法逼近迟滞状态与迟滞输出的关系进行迟滞建模。最后应用实验仿真验证了建模方法的有效性。该方法训练速度快、建模精度高,便于实现。

关键词: 压电执行器, 迟滞, Duhem算子, 极限学习机

Abstract: Piezoelectric actuators (PEAs) have been widely used in the field of high-precision positioning, but there is inherent hysteresis nonlinearity which seriously degrades the tracking performance. In order to improve the control precision of the high-precision positioning system, the nonlinear hysteresis model is established. In this paper, an identification method using extreme learning machine based on Duhem operator is proposed. The Duhem operator is proposed to describe the relationship between the system input and the system output, and the hysteresis model is achieved by using extreme learning machine and Duhem operator. Finally, simulation results are given to evaluate the effectiveness of the proposed modeling method. The method has improved the identification speed and precision significantly.

Key words: Piezoceramic actuator, hysteresis, Duhem operator, extreme learning machine