菱形微位移压电作动器输入输出杂交建模
Hybrid Modeling Input and Output for a Rhombic Micro-displacement Amplifier

针对某定位装置，研究了一种新型菱形微位移压电作动器，该压电作动器由压电堆、菱形位移放大机构以及柔性铰链组成。菱形微位移压电作动器的核心驱动部件为压电堆，由于压电材料的迟滞特性，菱形压电作动器具有非线性迟滞特性。为了消除迟滞对压电作动器在后续控制中的影响，发展了一种Preisach杂交建模的方法,该方法在传统Preisach模型的基础上，有效结合了Preisach离散模型和支持向量机（support vector machine，简称SVM），建立了微位移压电作动器输入输出杂交模型。试验结果表明，SVM有效解决了因1阶滞回曲线数量不足而导致Preisach模型精度低的问题，同时与传统Preisach模型相比，杂交建模能更准确地描述迟滞特性，有更高的精度。
This paper proposes a rhombic micro-displacement amplifier (RMDA) for piezoelectric actuator. The amplifier consists of three parts: piezoelectric actuator (PA), flexible hinge and rhombic amplification part. However, the key drive part of RMDA is PA. PA has hysteresis effects, it is mean that the RMDA also has. To ensure the accuracy for amplifiers, the hybrid model which is based on discrete classical Preisach model (CPM) and support vector machine (SVM), is introduced to accounts for hysteresis effects. Finally, the hybrid model and its inversion model of the amplifier are modeled and successfully validated via experimental results. The results demonstrate that hybrid modeling have high accuracy for express the input/output relations of RMDA which have hysteresis effects.