Receding Horizon Based Offline Gain Adjustment for Contour Error Reduction in High Speed Milling

Duong, Tan-Quang; Rodríguez-Ayerbe, Pedro; Lavernhe, Sylvain; Tournier, Christophe; Dumur, Didier

doi:10.1016/j.procir.2016.06.040

Cited by 5 publications

(4 citation statements)

References 11 publications

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“…Contouring error, defined as the smallest distance at each point of the actual trajectory to the reference trajectory is illustrated in Figure 17. The 'linear interpolation' method in [16] is used for the results that will be presented. The desired filled square surface is discretized into smaller squares with side length equal to the laser spot diameter (chosen by default from the industrial scanning head to 70µm).…”

Section: Results On a Marking Job With Optimized Scanning Speed On The 2-axis Experimental Test Benchmentioning

confidence: 99%

Improving SLM additive manufacturing operation precision with H-infinity controller structure

Rasoanarivo

Dumur

Rodríguez-Ayerbe

2021

CIRP Journal of Manufacturing Science and Technology

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SLM (Selective Laser Melting) is the most widespread additive manufacturing technique of metal part. The desired part is elaborated through local melting of a raw metal powder bed by means of laser. In industrial machines, galvanometer motors achieve the laser beam deflection and focus control tasks. This paper proposes a H-infinity controller synthesis which improves the system accuracy and robustness towards physical features. Compared to a conventional control scheme, results obtained with the H-infinity controller implemented in an open architecture test bench consisting of a 2-axis laser deflection system showed improved accuracy performance while operation rapidity is optimized.

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Section: Results On a Marking Job With Optimized Scanning Speed On The 2-axis Experimental Test Benchmentioning

confidence: 99%

Improving SLM additive manufacturing operation precision with H-infinity controller structure

Rasoanarivo

Dumur

Rodríguez-Ayerbe

2021

CIRP Journal of Manufacturing Science and Technology

Self Cite

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show abstract

“…According to the bandwidth, the parameters of the two-axis IP controller are determined step by step to realize SM. Duong et al [14] proposed an offline gain adjustment (OGA) algorithm in which the input is the setpoints, while the output is a set of selected variable gains. The algorithm divides the two-axis trajectory according to curvature, and the equation for gain solving is established based on the combination equation of sine and straight line and the receding horizon strategy.…”

Section: Introductionmentioning

confidence: 99%

Offline fast modification of position loop gains for five-axis machining

Lyu

Zhang

et al. 2023

Int J Adv Manuf Technol

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Servo matching (SM) controls the contour error (CE) by coordinating the tracking error (TE) of each axis, which is a basic strategy of CE control. However, the SM, especially the five-axis SM approach, has not been widely used in engineering due to the long time taken to compute the modification of the position loop gain (PLG). This paper establishes the functional relationship between the five-axis PLG and part CE based on the Jacobian matrix. An offline PLG fast modification approach for part CE in five-axis machining was proposed based on the above criteria. Through this method, the five-axis machine tool could modify the PLG of each axis for specific parts and improve the contour accuracy of the parts. Compared to the traditional approach, the servo control model prediction, forward kinematics transformation (FKT), and tool contour pose are omitted based on the proposed approach. Consequently, the computational burden is greatly reduced, the computing time is reduced by more than 98%, and the average contour accuracy can be improved by more than 54%.

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“…For instance, the contour error and tangential error are first decoupled, and then the time invariant controller to reduce each error can be designed separately. 31 Duong et al 32 investigate a controller whose gain can be adjusted offline to reduce contour error in high-speed milling. And the gain adjustment comes from a receding horizon window strategy.…”

Section: Introductionmentioning

confidence: 99%

Design of a real-time three-axis controller for contour error reduction based on model predictive control

Kang

Zhao

et al. 2022

Proceedings of the Institution of Mechanical Engineers, Part C:

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The machining accuracy is mainly indicated by the contour error especially in high-precision processing. Previously, scholars have proposed many controllers to reduce contour errors in real-time machining, such as the cross coupling controller and sliding mode controller. In this paper, we propose a controller based on model predictive control (MPC), and the contour error caused during path tracking can be effectively reduced by this controller. First of all, for two-dimensional (2D) and three-dimensional (3D) tool paths, their contour errors are deduced based on coordinate system transform. Second, the MPC-based controller is designed with the state-space discrete model of a machine tool. The contour error is regarded as a constraint during receding optimization. These are reasons why the presented control scheme is adapted with both bi-axis and three-axis machine tools. Furthermore, in order to improve the efficiency of receding optimization, the contour error of a 3D curve is simplified. Subsequently, the optimization problem is transformed into the standard form of quadratic programming. Finally, a 2D tool path and a 3D tool path are machined to test the proposed controller. Simulations and experiments show satisfactory results which indicate effectiveness of the proposed method.

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Receding Horizon Based Offline Gain Adjustment for Contour Error Reduction in High Speed Milling

Cited by 5 publications

References 11 publications

Improving SLM additive manufacturing operation precision with H-infinity controller structure

Improving SLM additive manufacturing operation precision with H-infinity controller structure

Offline fast modification of position loop gains for five-axis machining

Design of a real-time three-axis controller for contour error reduction based on model predictive control

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