Abstract

In the contouring process, the trajectory generated by the computer numerical control (CNC) machine tool is a result of the multiaxis coordinated motion. The contour error has a direct impact on the accuracy of the machined product. To obtain higher contouring accuracy of the multiaxis motion control system, this paper presents a cross-coupled control approach based on the extended state observer sliding mode control. First, a single-axis sliding mode controller is designed, and an extended state observer is used to estimate system disturbances and improve the system robustness. Then, the cross-coupled control approach handles the coordinated motion of multiple axes to improve the contour control accuracy. Next, a simulation study is conducted on the three-axis motion platform. Its result shows that the control algorithm is effective in reducing tracking errors and contour errors.

Highlights

  • With the rapid development of the modern industry, there is an increasing demand on higher accuracy for the multiaxis manufacturing systems

  • E development of the contour control technology results in increased complexity of the cross-coupled controller enhanced robust stability, and better coordination, but the anti-interference capacity is less improved. e multiaxis motion platform is susceptible to external disturbances in the machining process, which affects the position accuracy and contour accuracy of the computer numerical control (CNC) machining system. erefore, this paper introduces an extended state observer (ESO) to estimate the disturbances and combines it with the sliding mode controller (SMC) to improve the position tracking accuracy of the single axis

  • Mismatch of dynamic characteristics of each axis motor is the main cause of contour error [11]. is paper applies cross-coupled control (CCC) to coordinate the motion of each axis. e contour error is calculated by selecting the appropriate CCC gain. en, the contour error compensation is assigned to each axis, respectively. erefore, it is critical to build a more accurate contour error model

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Summary

Introduction

With the rapid development of the modern industry, there is an increasing demand on higher accuracy for the multiaxis manufacturing systems. To improve the contouring accuracy, many experts and scholars are devoted to researching various single-axis tracking control strategies, thereby improving the contour motion control accuracy indirectly [1,2,3]. Erefore, to solve the shortcomings of such a single-axis uncoupled controller, it is necessary to introduce a coupled mechanism among multiple axes, with the contour error as the control target, to directly reduce the contour error and improve the contouring accuracy. Karen proposed the cross-coupled control (CCC) to solve the contour motion problem of the two-axis feed system. E simulation study on the three-axis motion platform demonstrates that the approach can effectively reduce the impact of external disturbances, improve the coordination among the axes, and ensure the tracking accuracy and contour accuracy Mathematical Problems in Engineering control. e simulation study on the three-axis motion platform demonstrates that the approach can effectively reduce the impact of external disturbances, improve the coordination among the axes, and ensure the tracking accuracy and contour accuracy

Contour Error Model
System Model
Controller Design
Experiments
Findings
Conclusions

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