A Contour Error Estimation Method for Multidimensional System Based on Simplified Newton Method

Abstract

A multi-dimensional system contour error estimation method based on simplified Newton method, related to the field of numerical control machining technology, aimed at the large amount of calculation, long solution time and singularity of trajectory peak in the existing contour error estimation method based on Newton extremum search algorithm etc. Compared with the classical Newton extremum search algorithm, the simplified Newton contour error estimation algorithm proposed by the applicant ensures higher accuracy and does not need to calculate derivatives. In the process of contour error estimation, it avoids singularity and reduces amount of calculation. According to the specific experimental results, the estimation accuracy and efficiency of the multi-dimensional system contour error are about 30%-50% higher than those of the traditional scheme. The traditional contour estimation method based on the Newton extremum search method is a local convergence method, and the selection of its initial value will determine the convergence and accuracy of the algorithm. The present invention guarantees the overall Convergence.

Description

technical field

[0001] The invention relates to the technical field of numerical control machining, in particular to a multi-dimensional system contour error estimation method based on a simplified Newton method. Background technique

[0002] With the continuous development of the manufacturing industry, the new generation of CNC machining devices requires performance indicators such as high precision, high efficiency, and high reliability. As far as the current status of the CNC machining industry is concerned, how to effectively improve the accuracy and efficiency of the CNC machining process is an urgent problem to be solved in the field of machining technology. As an important technical link in the field of precision machining, contour tracking has an important impact on machining accuracy and efficiency. Contour error estimation is a key engineering technology to ensure high precision. It aims to accurately and quickly estimate contour error. Its accuracy and calculati...

Examples

specific Embodiment approach 1

[0043] Specific implementation mode one: refer to figure 1 and figure 2 This embodiment is described in detail. A method for estimating the contour error of a multi-dimensional system based on the simplified Newton method described in this embodiment includes the following steps:

[0044] Step 1: Initialize various parameters and variables of the multidimensional system: First, parameterize the reference contour trajectory of the multidimensional system as a multidimensional vector P r (t)=[p r1 (t),p r2 (t),...,p rn (t)] T , where t represents the system time, p ri (t), i=1, 2,..., n represents the reference position of each dimension space in the numerical control machining operation. Then, define the actual contour trajectory of the multidimensional system as

[0045] P(t)=[p 1 (t),p 2 (t),...,pn (t)] T , considering the actual situation of engineering applications and the discrete characteristics of computer control, it is discretized as P(k)=[p 1 (k),p 2 (k),...

Embodiment

[0065] The present invention will be based on the X-Y linear motor platform, and the error estimation and tracking control of the slow circular contour and the fast star contour in the numerical control machining process will be described as an embodiment. It should be pointed out that the present invention is mainly aimed at the estimation scheme of the contour error of the multi-dimensional system, and the introduction of the control method is to better illustrate the validity and superiority of the error estimation scheme. The invention can be applied to the contour tracking control scheme of various precision machine tools and processing platforms in the numerical control processing industry, and can realize accurate contour error estimation of multi-dimensional systems under complex and extreme contour conditions.

technical field

[0001] The invention relates to the technical field of numerical control machining, in particular to a multi-dimensional system contour error estimation method based on a simplified Newton method. Background technique

[0002] With the continuous development of the manufacturing industry, the new generation of CNC machining devices requires performance indicators such as high precision, high efficiency, and high reliability. As far as the current status of the CNC machining industry is concerned, how to effectively improve the accuracy and efficiency of the CNC machining process is an urgent problem to be solved in the field of machining technology. As an important technical link in the field of precision machining, contour tracking has an important impact on machining accuracy and efficiency. Contour error estimation is a key engineering technology to ensure high precision. It aims to accurately and quickly estimate contour error. Its accuracy and calculati...

Examples

specific Embodiment approach 1

[0043] Specific implementation mode one: refer to figure 1 and figure 2 This embodiment is described in detail. A method for estimating the contour error of a multi-dimensional system based on the simplified Newton method described in this embodiment includes the following steps:

[0044] Step 1: Initialize various parameters and variables of the multidimensional system: First, parameterize the reference contour trajectory of the multidimensional system as a multidimensional vector P r (t)=[p r1 (t),p r2 (t),...,p rn (t)] T , where t represents the system time, p ri (t), i=1, 2,..., n represents the reference position of each dimension space in the numerical control machining operation. Then, define the actual contour trajectory of the multidimensional system as

[0045] P(t)=[p 1 (t),p 2 (t),...,pn (t)] T , considering the actual situation of engineering applications and the discrete characteristics of computer control, it is discretized as P(k)=[p 1 (k),p 2 (k),...

Embodiment

[0065] The present invention will be based on the X-Y linear motor platform, and the error estimation and tracking control of the slow circular contour and the fast star contour in the numerical control machining process will be described as an embodiment. It should be pointed out that the present invention is mainly aimed at the estimation scheme of the contour error of the multi-dimensional system, and the introduction of the control method is to better illustrate the validity and superiority of the error estimation scheme. The invention can be applied to the contour tracking control scheme of various precision machine tools and processing platforms in the numerical control processing industry, and can realize accurate contour error estimation of multi-dimensional systems under complex and extreme contour conditions.

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