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Multi-dimensional system contour error estimation method based on simplified Newton method

A multi-dimensional system, contour error technology, applied in general control systems, control/regulation systems, computer control, etc., can solve problems such as long solution time and large amount of calculation

Active Publication Date: 2020-10-27
HARBIN INST OF TECH
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Problems solved by technology

[0004] The purpose of the present invention is to propose a multi-dimensional system profile based on simplified Newton's method in view of the problems of large amount of calculation, long solution time and singularity of trajectory peaks in the existing profile error estimation method based on Newton's extremum search algorithm error estimation method

Method used

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  • Multi-dimensional system contour error estimation method based on simplified Newton method
  • Multi-dimensional system contour error estimation method based on simplified Newton method
  • Multi-dimensional system contour error estimation method based on simplified Newton method

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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, processing platforms and other instruments and equipment 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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Abstract

The invention discloses a multi-dimensional system contour error estimation method based on a simplified Newton method, relates to the technical field of numerical control machining and aims at solving problems that an existing contour error estimation method based on a Newton extremum search algorithm is large in calculated amount, long in solving time, singular in track peak and the like. Compared with a classical Newton extremum search algorithm, the simplified Newton contour error estimation algorithm provided by the applicant ensures high precision and does not need to calculate derivatives, singularity is avoided in the contour error estimation process, and meanwhile the calculated amount is reduced. According to the specific experimental effect, estimation precision and efficiency of a contour error of the multi-dimensional system are improved by about 30%-50% compared with those of a traditional scheme; a traditional contour estimation method based on a Newton extremum search method is a local convergence method, selection of an initial value of the contour estimation method determines convergence and accuracy of the algorithm, and global convergence is guaranteed by adopting the estimation value as an initial value of subsequent iteration.

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...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G05B19/404
CPCG05B19/404G05B2219/35408
Inventor 孙光辉李晓磊吴立刚刘健行姚蔚然
Owner HARBIN INST OF TECH
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