<p>This paper presents an on-site kinematic calibration framework for robotic manipulators using a single-laser distance sensor. The proposed method models the discrepancy between nominal and measured laser distances as a function of the modified Denavit–Hartenberg (MDH) parameters, which are identified through iterative least-squares estimation using an analytically derived identification Jacobian matrix. To ensure efficient and high-quality data collection, a nonlinear programming (NLP)-based configuration sampling strategy is developed that autonomously generates informative measurement poses while strictly satisfying operational constraints, including sensor range, incidence angle, and collision avoidance. The proposed sampling procedure generates 480 configurations across two orthogonal measurement planes in approximately <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(17~\textrm{s}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>17</mn> <mspace width="3.33333pt" /> <mtext>s</mtext> </mrow> </math></EquationSource> </InlineEquation>, representing a substantial reduction in effort compared to manual pose teaching. Experimental results demonstrate a <InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(76.87\%\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>76.87</mn> <mo>%</mo> </mrow> </math></EquationSource> </InlineEquation> reduction in reprojection root mean square error (RMSE), decreasing from <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(1.590~\textrm{mm}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>1.590</mn> <mspace width="3.33333pt" /> <mtext>mm</mtext> </mrow> </math></EquationSource> </InlineEquation> to <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(0.368~\textrm{mm}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.368</mn> <mspace width="3.33333pt" /> <mtext>mm</mtext> </mrow> </math></EquationSource> </InlineEquation>, with consistent performance across training and validation sets. Independent validation using a laser tracker confirmed sub-millimeter end-effector position accuracy, with a combined RMSE of <InlineEquation ID="IEq5"> <EquationSource Format="TEX">\(0.679~\textrm{mm}\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>0.679</mn> <mspace width="3.33333pt" /> <mtext>mm</mtext> </mrow> </math></EquationSource> </InlineEquation> over 10 configurations. Additional experiments on four target surface materials revealed that surface flatness quality, rather than optical finish, is the dominant factor governing measurement accuracy during robot motion. These results demonstrate the practical effectiveness of the proposed framework for on-site robot accuracy enhancement without reliance on high-precision metrology equipment. The proposed framework achieves sub-millimeter end-effector accuracy using a single-laser distance sensor, offering a substantially lower-cost alternative to manufacturer recalibration services that typically involve shipping costs, service fees, and multiple days of robot downtime.</p>

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On-site kinematic calibration framework for robotic manipulators using a single-laser distance sensor

  • Junsik Kim,
  • Sunhong Kim,
  • Gwangyeol Cha,
  • Geun Young Hong,
  • Minchang Sung,
  • Youngjin Choi

摘要

This paper presents an on-site kinematic calibration framework for robotic manipulators using a single-laser distance sensor. The proposed method models the discrepancy between nominal and measured laser distances as a function of the modified Denavit–Hartenberg (MDH) parameters, which are identified through iterative least-squares estimation using an analytically derived identification Jacobian matrix. To ensure efficient and high-quality data collection, a nonlinear programming (NLP)-based configuration sampling strategy is developed that autonomously generates informative measurement poses while strictly satisfying operational constraints, including sensor range, incidence angle, and collision avoidance. The proposed sampling procedure generates 480 configurations across two orthogonal measurement planes in approximately \(17~\textrm{s}\) 17 s , representing a substantial reduction in effort compared to manual pose teaching. Experimental results demonstrate a \(76.87\%\) 76.87 % reduction in reprojection root mean square error (RMSE), decreasing from \(1.590~\textrm{mm}\) 1.590 mm to \(0.368~\textrm{mm}\) 0.368 mm , with consistent performance across training and validation sets. Independent validation using a laser tracker confirmed sub-millimeter end-effector position accuracy, with a combined RMSE of \(0.679~\textrm{mm}\) 0.679 mm over 10 configurations. Additional experiments on four target surface materials revealed that surface flatness quality, rather than optical finish, is the dominant factor governing measurement accuracy during robot motion. These results demonstrate the practical effectiveness of the proposed framework for on-site robot accuracy enhancement without reliance on high-precision metrology equipment. The proposed framework achieves sub-millimeter end-effector accuracy using a single-laser distance sensor, offering a substantially lower-cost alternative to manufacturer recalibration services that typically involve shipping costs, service fees, and multiple days of robot downtime.