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Confidence region algorithm-based multidimensional space contour error estimation method

A contour error and multi-dimensional space technology, applied in computer control, instrumentation, tracking/tracking, etc., can solve problems such as low control accuracy and large convergence impact, and achieve the effect of ensuring convergence and eliminating singular problems

Active Publication Date: 2018-05-11
HARBIN INST OF TECH
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  • Application Information

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Problems solved by technology

[0004] The purpose of the present invention is to propose a multi-dimensional spatial contour error estimation method based on the confidence region algorithm in order to solve the shortcomings of the existing multi-dimensional spatial contour error compensation control accuracy is low and the convergence is greatly affected by the initial value

Method used

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  • Confidence region algorithm-based multidimensional space contour error estimation method
  • Confidence region algorithm-based multidimensional space contour error estimation method
  • Confidence region algorithm-based multidimensional space contour error estimation method

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specific Embodiment approach 1

[0024] Specific implementation mode one: as figure 2 As shown, a multi-dimensional spatial contour error estimation method based on the confidence region algorithm includes the following steps:

[0025] figure 1 The middle abscissa θ is a parameter variable, which represents the state here. For the multidimensional space contour problem, θ can be a multidimensional state variable, namely The ordinate α(θ) represents the parameter equation of the reference contour curve. For the problem of n-dimensional spatial contour error estimation, α(θ) is an n-dimensional spatial variable, namely (θ is the parameter in the curve parametric equation, claims state here. α (θ) is the parametric equation of reference profile curve, and the point on it has directly represented the position, for n-dimensional space profile error estimate α (θ)=[α 1 (θ) α(θ) 2 ... α n (θ)] T is an n-dimensional quantity). p(k) represents the actual position curve at each sampling moment, and k represen...

specific Embodiment approach 2

[0047] Specific embodiment 2: The difference between this embodiment and specific embodiment 1 is: in the step 1, the initialization iteration gain coefficient b=2 and the damping gain coefficient τ=10 -3 .

[0048] Other steps and parameters are the same as those in Embodiment 1.

specific Embodiment approach 3

[0049] Specific implementation mode three: the difference between this implementation mode and specific implementation mode one or two is that the desired precision ε is set in the step one 1 =ε 2 =ε 3 =10 -5 .

[0050] Other steps and parameters are the same as those in Embodiment 1 or Embodiment 2.

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Abstract

The present invention relates to a confidence region algorithm-based multidimensional space contour error estimation method for solving the disadvantages that the conventional multidimensional space contour error compensation control precision is low and the convergence is greatly influenced by an initial value. The method of the present invention is characterized by solving a neighborhood of a current iteration point as an iteration domain at each time of iteration, obtaining a tentative iteration step length in the neighborhood, defining an evaluation function to decide the acceptation or rejection of the step length and the range of a next iteration confidence region, if the step length satisfies the requirements of the evaluation function, updating a current iteration state and keepingor expanding the confidence region, otherwise keeping an original iteration state and reducing the confidence region until the precision satisfies the requirements or stopping the iteration when theiteration number of times reaches an upper limit. Compared with a Newton's method, the method of the present invention guarantees the overall convergence, enables the derivative calculation to be reduced, and is used for the contour tracking and precise processing technology field.

Description

technical field [0001] The invention relates to a multi-dimensional space contour error estimation method based on a confidence region algorithm. Background technique [0002] The high-speed and high-precision CNC machining technology is becoming more and more important in industrial production, so improving the precision of the CNC machining process has become an urgent problem to be solved. The control method based on contour error tracking is an important control method to improve machining accuracy, which requires accurate and fast estimation of contour error, and a certain control function is applied according to the estimated error to control the system. [0003] At present, the widely used dynamic contour error estimation method is mainly the Newton method, which calculates the final value of the single-step iteration based on the initial value, but the Newton method is a method of local convergence, and its convergence is related to the selection of the initial value...

Claims

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Application Information

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IPC IPC(8): G05B19/404
CPCG05B19/404G05B2219/47
Inventor 孙光辉邵翔宇李晓磊匡治安吴承钰董瀚林
Owner HARBIN INST OF TECH
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