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Parameter Adaptive Densification Method for Robot Nurbs Curve Motion Interpolation

A curved motion and self-adaptive technology, applied in manipulators, program-controlled manipulators, two-dimensional position/lane control, etc., can solve the problems of smooth motion and low motion precision, long deceleration distance, and inability to fully guarantee the compliance of the acceleration process And other issues

Active Publication Date: 2018-11-06
SOUTHEAST UNIV
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Problems solved by technology

[0005] The purpose of the present invention is to overcome the existing technical defects, solve the problem of low motion stability and low motion accuracy in the complex curve interpolation process in the industrial robot motion trajectory interpolation method based on cubic NURBS curves, and can only plan the deceleration process However, the compliance problem of the acceleration process cannot be fully guaranteed and the required deceleration distance is longer in places with large curvature changes. The present invention provides a robot NURBS curve motion interpolation method with adaptive parameter densification to realize high-speed industrial robots. Efficient, high-precision and flexible trajectory interpolation

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  • Parameter Adaptive Densification Method for Robot Nurbs Curve Motion Interpolation

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[0094] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments.

[0095] like figure 1As shown, a kind of parameter self-adaptive densification robot NURBS curve motion interpolation method of the present invention comprises the following steps:

[0096] Step 10) Obtain the NURBS curve expression and the derivative function expression used in the parameter densification process according to the input motion parameters.

[0097] Step 10) first determine the expression form of the cubic NURBS curve according to the given NURBS control vertices and their weights, node vectors and other parameters; secondly select a reasonable time interval to determine the expression of each section of the NURBS curve; then solve each section of NURBS The numerator and denominator coefficients of the curve; finally, on the basis of the NURBS curve expression, the first-order and second-order derivative function expressions of t...

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Abstract

The invention discloses a parameter adapting and calibrating robot NURBS curvilinear motion interpolation method. The method includes the steps of 10, according to input motion parameters, obtaining an NURBS curve expression and a derived function expression adopted in the parameter calibrating process; 20, according to an improved Admas differential equation, estimating a node vector u of motion parameters; 30, according to constraint condition, correcting the node vector u of the motion parameters adaptively; 40, smoothing the motion parameters in the adaptive process; 50, completing posture interpolation through the spherical linear interpolation slerp method to obtain position interpolation coordinates and posture interpolation coordinates; and 60, carrying out positive solution and inverse solution calculation of robots to obtain a joint angle interpolation sequence. According to the method, the problem that the deceleration distance is long at the parts with large curvature change in the NURBS track interpolation process can be effectively solved, and the flexibility of joints of the industrial robots in the motion process can be improved.

Description

technical field [0001] The invention relates to the technical field of advanced manufacturing of industrial robots such as welding, cutting, spraying, and handling, and in particular to a parameter adaptive densification robot NURBS curve motion interpolation method. Background technique [0002] The industrial robot control system requires that the robot can quickly and accurately run according to the pre-planned trajectory under the action of a certain control strategy. Among them, the interpolation algorithm is the core of the software to realize the motion control of the industrial robot, and it is the key to realize the complex trajectory planning of the industrial robot. The basis of the algorithm, its performance determines the real-time performance and accuracy of industrial robot motion, and is one of the important evaluation indicators for the motion control characteristics of industrial robots. [0003] Traditional interpolation algorithms mainly include straight ...

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Application Information

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Patent Type & Authority Patents(China)
IPC IPC(8): B25J9/16G05D1/02
CPCB25J9/16B25J9/1664G05D1/02
Inventor 周波刘阳吴宝举孟正大戴先中
Owner SOUTHEAST UNIV
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