Abstract

Contour error compensation of the computer numerical control (CNC) machine tool is a vital technology that can improve machining accuracy and quality. To achieve this goal, the tracking error of a feeding axis, which is a dominant issue incurring the contour error, should be firstly modeled and then a proper compensation strategy should be determined. However, building the precise tracking error prediction model is a challenging task because of the nonlinear issues like backlash and friction involved in the feeding axis; besides, the optimal compensation parameter is also difficult to determine because it is sensitive to the machining tool path. In this paper, a set of novel approaches for contour error prediction and compensation is presented based on the technologies of deep learning and reinforcement learning. By utilizing the internal data of the CNC system, the tracking error of the feeding axis is modeled as a Nonlinear Auto-Regressive Long-Short-Term Memory (NAR-LSTM) network, considering all the nonlinear issues of the feeding axis. Given the contour error as calculated based on the predicted tracking error of each feeding axis, a compensation strategy is presented with its parameters identified efficiently by a Time-Series Deep Q-Network (TS-DQN) as designed in our work. To validate the feasibility and advantage of the proposed approaches, extensive experiments are conducted, testifying that our approaches can predict the tracking error and contour error with very good precision (better than about 99% and 90% respectively), and the contour error compensated based on the predicted results and our compensation strategy is significantly reduced (about 60~85% reduction) with the machining quality improved drastically (machining error reduced about 50%).

Highlights

  • In Computer Numerical Control (CNC) machining, the contour error of the feeding system is one of the most fatal factors affecting the machining precision, and the lower the contour error is, the better machining precision it could be

  • To improve the contouring accuracy of the CNC machine tool, this paper presents a set of contour error compensation methods by firstly modeling the contour error based on a Nonlinear Auto-Regressive Long-Short

  • The experimental results on the Nonlinear Auto-Regressive (NAR)-long-short term memory network (LSTM) network-based contour error prediction are first reported, and the feasibility and advantage of the proposed Time-Series Deep Q-Network (TS-Deep Q-network (DQN))-based contour error compensation approach are testified by simulation and physical cutting experiments

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Summary

Introduction

In Computer Numerical Control (CNC) machining, the contour error of the feeding system is one of the most fatal factors affecting the machining precision, and the lower the contour error is, the better machining precision it could be. For the real-time compensation methods based on the contour error modeling, the accuracy of compensation is not high enough because, on the one hand, the prediction models have limited complexity and fair prediction precision; and on the other hand, due to the essential inertia of the electrical and mechanical system, the feeding system of CNC machine tool has the lag-characteristic, i.e., the compensated result cannot work immediately, which could undermine the effect of contour error compensation. To improve the contouring accuracy of the CNC machine tool, this paper presents a set of contour error compensation methods by firstly modeling the contour error based on a Nonlinear Auto-Regressive Long-Short. (1) Based on the internal data of the machine tool, a deep learning network called NAR-LSTM is designed that can precisely predict the tracking error, based on which the contour error can be calculated.

The NAR-LSTM network-based contour error calculation
Tracking error of a feeding axis
E G v v
NAR-LSTM network-based modeling of the NLTE
Contour error calculation
Reinforcement learning-based contour error compensation
Contour error compensation strategy u x u x c t x
TS-DQN based identification of compensation parameters
Experimental setup
Experimental results
Contour error prediction
Contour error compensation
Conclusion
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