Research Article

Uncertainty Estimation of Robot Geometric Parameters and End-Effecter Position Based on New Generation GPS

Table 1

The calibrated values, uncertainty, and the endpoints of 95% coverage intervals of geometric parameters.

ParametersNominal valuesCalibrated valuesUncertaintyExpanded uncertaintyU-endpointL-endpoint

(°)0.000.00000.00000.00000.00000.0000
(°)-90.00-90.06200.01120.0224-90.0396-90.0844
(°)0.00-0.18250.01880.0376-0.1449-0.2201
(°)0.00-0.31250.09350.1870-0.1255-0.4995
(°)0.00-0.52170.01460.0292-0.4925-0.5509
(°)0.000.00000.00000.00000.00000.0000
d1(mm)504.00504.00000.00000.0000504.0000504.0000
d2(mm)0.000.00000.00000.00000.00000.0000
d3(mm)0.000.79370.72331.44662.2403-0.6529
d4(mm)1060.001059.78330.46370.92741060.71071058.8559
d5(mm)0.000.71760.05800.11600.83360.6016
d6(mm)125.00125.00000.00000.0000125.0000125.0000
a1(mm)170.00166.59750.16640.3328166.9303166.2647
a2(mm)780.00780.26000.06370.1274780.3874780.1326
a3(mm)140.00140.39170.29800.5960140.9877139.7957
a4(mm)0.000.16210.14900.29800.4601-0.1359
a5(mm)0.000.10150.17780.35560.4571-0.2541
a6(mm)0.000.00000.00000.00000.00000.0000
α1(°)-90.00-90.00030.01080.0216-89.9787-90.0219
α2(°)0.00-0.02610.00810.0162-0.0099-0.0423
α3(°)-90.00-89.98100.01870.0374-89.9436-90.0184
α4(°)90.0090.06050.35520.710490.770989.3501
α5(°)-90.00-90.01500.33610.6722-89.3428-90.6872
α6(°)0.000.00000.00000.00000.00000.0000
β2(°)0.000.02340.00990.01980.04320.0036