Compensation control strategy of hybrid driven three-dimensional elliptical vibration assisted cutting system based on piezoelectric hysteresis model

• Published in: Measurement and control (London) Vol. 57; no. 3; pp. 319 - 329
• Main Authors: Lu, Mingming, Liu, Yuyang, Fu, Xifeng, Lin, Jieqiong, Zhou, Jiakang, Du, Yongsheng, Hao, Zhaopeng
• Format: Journal Article
• Language: English
• Published: London, England SAGE Publications 01.03.2024; Sage Publications Ltd; SAGE Publishing
• Subjects: Algorithms; Compensation; Control systems design; Control theory; Controllers; Cutting; Feedback control; Feedback loops; Feedforward control; Fuzzy control; Grey prediction; Hysteresis models; Nonlinearity; Parameter identification; Piezoelectricity; Prediction models; Proportional integral derivative; Three dimensional models; Vibration; hysteresis nonlinearity; Three-dimensional elliptical vibration cutting; improved flower pollination algorithm; Bouc-Wen model; compound controller
• ISSN: 0020-2940; 2051-8730
• DOI: 10.1177/00202940231201885

Three-dimensional elliptical vibration assisted cutting (3D-EVC) technology has been widely used in many high-precision technical fields due to its high-efficiency processing characteristics. However, the hysteresis and nonlinearity caused by the piezoelectric drive in the 3D-EVC system will impact the system control accuracy. This paper mainly studies the hysteresis and nonlinearity of the system, the feedforward-gray predicted fuzzy PID compound controller based on the generalized Bouc-Wen hysteresis nonlinear model and it is designed to realize the hysteresis compensation of the system. In this paper, input voltage and output displacement are represented by a mathematical relationship, and this relationship of the 3D-EVC system will be described by the generalized Bouc-Wen model. The improved flower pollination algorithm (IFPASO) is adopted in the identification process of parameters. A compound control strategy is formed based on traditional feed-forward control combined with fuzzy PID feedback control to compensate for hysteresis and nonlinearity, and an improved gray prediction model is introduced into the feedback loop. The 3D-EVC system tracking experiment verifies the effectiveness of the designed compound controller. Experiments have proved that the hysteresis component of the system is significantly reduced after the use of the compound controller for hysteresis compensation, and the system has a higher degree of stability.