A linear solution to the kinematic parameter identification of robot manipulators

1993 ◽  
Vol 9 (2) ◽  
pp. 174-185 ◽  
Author(s):  
H. Zhuang ◽  
Z.S. Roth
Keyword(s):  
Parameter Identification ◽  
Robot Manipulators ◽  
Kinematic Parameter ◽  
Linear Solution ◽  
Kinematic Parameter Identification

The Theory of Kinematic Parameter Identification for Industrial Robots

1988 ◽  
Vol 110 (1) ◽  
pp. 96-100 ◽  
Author(s):  
L. J. Everett ◽  
Tsing-Wong Hsu
Keyword(s):  
Parameter Identification ◽  
Recent Literature ◽  
Robot Manipulators ◽  
A Priori ◽  
Kinematic Parameter ◽  
Industrial Robots ◽  
Identification Algorithm ◽  
Kinematic Parameters ◽  
Independent Parameters ◽  
Kinematic Parameter Identification

This paper presents the concept of completeness for kinematic identification of robot manipulators. Completeness is defined as the ability to map joint positions into tool positions for all arbitrary manipulators. It is suggested that complete models must contain a certain number of independent parameters. Furthermore it is suggested (and shown by practical examples) that the required number of independent kinematic parameters is easy to determine a-priori. This enables one to check a model for completeness. Although the basic idea behind kinematic identification may have been considered well known, several identification algorithms in the recent literature are incomplete. Two examples are included in this paper. For this reason, this paper presents the topic and includes the conditions for a complete and viable identification algorithm.

Evaluation Of Different Probing Systems Used In Articulated Arm Coordinate Measuring Machines

2014 ◽  
Vol 21 (2) ◽  
pp. 233-246 ◽  
Author(s):  
Agustín Brau ◽  
Margarita Valenzuela ◽  
Jorge Santolaria ◽  
Juan José Aguilar
Keyword(s):  
Parameter Identification ◽  
Kinematic Parameter ◽  
Coordinate Measuring Machines ◽  
Nominal Data ◽  
Measurement Volume ◽  
Spherical Probe ◽  
Active Probe ◽  
System Configurations ◽  
Accuracy And Repeatability ◽  
Kinematic Parameter Identification

Abstract This paper presents a comparison of different techniques to capture nominal data for its use in later verification and kinematic parameter identification procedures for articulated arm coordinate measuring machines (AACMM). By using four different probing systems (passive spherical probe, active spherical probe, self-centering passive probe and self-centering active probe) the accuracy and repeatability of captured points has been evaluated by comparing these points to nominal points materialized by a ball-bar gauge distributed in several positions of the measurement volume. Then, by comparing these systems it is possible to characterize the influence of the force over the final results for each of the gauge and probing system configurations. The results with each of the systems studied show the advantages and original accuracy obtained by active probes, and thus their suitability in verification (active probes) and kinematic parameter identification (self-centering active probes) procedures.

A Simple Two-step Geometric Approach for the Kinematic Calibration of the 3-PRS Parallel Manipulator

Robotica ◽  
2019 ◽  
Vol 37 (5) ◽  
pp. 837-850
Author(s):  
Genliang Chen ◽  
Lingyu Kong ◽  
Qinchuan Li ◽  
Hao Wang
Keyword(s):  
Parameter Identification ◽  
Parallel Manipulator ◽  
Parallel Manipulators ◽  
Calibration Method ◽  
Kinematic Parameter ◽  
Geometric Constraints ◽  
Kinematic Calibration ◽  
Kinematic Parameters ◽  
Positioning Accuracy ◽  
Kinematic Parameter Identification

SummaryKinematic calibration plays an important role in the improvement of positioning accuracy for parallel manipulators. Based on the specific geometric constraints of limbs, this paper presents a new kinematic parameter identification method for the widely studied 3-PRS parallel manipulator. In the proposed calibration method, the planes where the PRS limbs exactly located are identified firstly as the geometric characteristics of the studied parallel manipulator. Then, the limbs can be considered as planar PR mechanisms whose kinematic parameters can be determined conveniently according to the limb planes identified in the first step. The main merit of the proposed calibration method is that the system error model which relates the manipulator’s kinematic errors to the output ones is not required for kinematic parameter identification. Instead, only two simple geometric problems need to be established for identification, which can be solved readily using gradient-based searching algorithms. Hence, another advantage of the proposed method is that parameter identification of the manipulator’s limbs can be accomplished individually without interactive impact on each other. In order to validate the effectiveness and efficiency of the proposed method, calibration experiments are conducted on an apparatus of the studied 3-PRS parallel manipulator. The results show that using the proposed two-step calibration method, the kinematic parameters can be identified quickly by means of gradient searching algorithm (converge within five iterations for both steps). The positioning accuracy of the studied 3-PRS parallel manipulator has been significantly improved by compensation according to the identified parameters. The mean position and orientation errors at the validation configurations have been reduced to 1.56 × 10−4 m and 1.13 × 10−3 rad, respectively. Further, the proposed two-step kinematic calibration method can be extended to other limited-degree-of-freedom parallel manipulators, if proper geometric constraints can be characterized for their kinematic limbs.

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