Research On Control Strategy Of Hybrid Driven Three-dimensional Elliptical Vibration Aided Cutting System Based On Piezoelectric Hysteresis Modeling

Since the three-dimensional elliptical vibration aided cutting technology was proposed,it has been widely used in national defense,aerospace and other fields due to its cutting advantages such as reducing cutting force and reducing tool wear.The inherent hysteresis nonlinearity of the non-resonant 3D-EVC system due to piezoelectric drive will affect the control performance of the system.In order to obtain efficient 3D-EVC control and processing performance,it is very important to design the compensation control strategy for system hysteresis nonlinearity.In this paper,based on piezoelectric hysteresis modeling,the related research on 3D-EVC system compensation control strategy is carried out.The main research contents are as follows:(1)Hysteresis model establishment and parameter identification of 3D-EVC systemAccording to the analysis of the hysteresis characteristics of the 3D-EVC system,the Bouc-Wen hysteresis model was established,and the traditional flower pollination algorithm(IFPASO)was improved by introducing the early particle swarm algorithm and self-regulating dynamic transition probability strategy,and the performance of the IFPASO algorithm was verified by standard test functions.The parameter identification experimental platform was built,and the Bou-Wen model parameters were identified by IFPASO algorithm,which provides a theoretical model basis for the design of the compensation control strategy.(2)Design and verification of feedforward inverse model and feedforward-PID feedback control strategy for 3D-EVC systemTwo types of control strategies,feedforward inverse model control strategy and feedforward-PID feedback control strategy,are designed based on hysteresis inverse model and PID feedback controller.The effectiveness of the two control strategies in improving the control performance of the 3D-EVC system is verified by the trajectory tracking control test experimental system.(3)Design and verification of compound control strategy for 3D-EVC systemDue to the low control accuracy of the above two types of control strategies,they cannot satisfy the control accuracy requirements of the 3D-EVC system for ultra-precision machining.Therefore,a feedforward-gray prediction adaptive fuzzy PID compound control strategy is designed,and the compensation voltage of hysteresis component part of the Bouc-Wen model is calculated and derived,and a feedforward controller is built on this basis.In the feedback link,an adaptive fuzzy PID control algorithm is constructed,and the performance of the adaptive fuzzy PID control algorithm is improved by introducing a gray prediction model,and its effectiveness is analyzed and verified by the trajectory tracking experiment;(4)3D-EVC system online machining experimentA 3D-EVC online cutting processing experimental system was built,and used ZYGO white light interferometer to analyze the surface roughness value of the processed surface of the processed material-aluminum rod.The processing performance of the 3D-EVC system under three control strategies is analyzed and compared,so as to verify the effectiveness of the feedforward-gray prediction adaptive fuzzy PID compound control strategy.