Unified Parameterization and Calibration of Serial, Parallel, and Hybrid Manipulators
In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools. We introduce a general approach to describe any robotic manipulator using established serial-link representations. We use this framework to g...
Ausführliche Beschreibung
Autor*in: |
Benjamin L. Moser [verfasserIn] Joshua A. Gordon [verfasserIn] Andrew J. Petruska [verfasserIn] |
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E-Artikel |
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Sprache: |
Englisch |
Erschienen: |
2021 |
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Übergeordnetes Werk: |
In: Robotics - MDPI AG, 2013, 10(2021), 4, p 124 |
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Übergeordnetes Werk: |
volume:10 ; year:2021 ; number:4, p 124 |
Links: |
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DOI / URN: |
10.3390/robotics10040124 |
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Katalog-ID: |
DOAJ07935808X |
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10.3390/robotics10040124 doi (DE-627)DOAJ07935808X (DE-599)DOAJe329b300e07c437783b2217241dbb10b DE-627 ger DE-627 rakwb eng TJ1-1570 Benjamin L. Moser verfasserin aut Unified Parameterization and Calibration of Serial, Parallel, and Hybrid Manipulators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools. We introduce a general approach to describe any robotic manipulator using established serial-link representations. We use this framework to generate analytical kinematic and calibration Jacobians for general manipulator constructions using null space constraints and extend the methods to hybrid manipulator types with complex geometry. We leverage the analytical Jacobians to develop detailed expressions for post-calibration pose uncertainties that are applied to describe the relationship between data set size and post-calibration uncertainty. We demonstrate the calibration of a hybrid manipulator assembled from high precision calibrated industrial components resulting in 91.1 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<m RMS position error and 71.2 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<rad RMS rotation error, representing a 46.7% reduction compared to the baseline calibration of assembly offsets. parallel manipulators robot kinematic calibration hybrid manipulators pose uncertainty Mechanical engineering and machinery Joshua A. Gordon verfasserin aut Andrew J. Petruska verfasserin aut In Robotics MDPI AG, 2013 10(2021), 4, p 124 (DE-627)718632443 (DE-600)2662587-8 22186581 nnns volume:10 year:2021 number:4, p 124 https://doi.org/10.3390/robotics10040124 kostenfrei https://doaj.org/article/e329b300e07c437783b2217241dbb10b kostenfrei https://www.mdpi.com/2218-6581/10/4/124 kostenfrei https://doaj.org/toc/2218-6581 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2021 4, p 124 |
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10.3390/robotics10040124 doi (DE-627)DOAJ07935808X (DE-599)DOAJe329b300e07c437783b2217241dbb10b DE-627 ger DE-627 rakwb eng TJ1-1570 Benjamin L. Moser verfasserin aut Unified Parameterization and Calibration of Serial, Parallel, and Hybrid Manipulators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools. We introduce a general approach to describe any robotic manipulator using established serial-link representations. We use this framework to generate analytical kinematic and calibration Jacobians for general manipulator constructions using null space constraints and extend the methods to hybrid manipulator types with complex geometry. We leverage the analytical Jacobians to develop detailed expressions for post-calibration pose uncertainties that are applied to describe the relationship between data set size and post-calibration uncertainty. We demonstrate the calibration of a hybrid manipulator assembled from high precision calibrated industrial components resulting in 91.1 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<m RMS position error and 71.2 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<rad RMS rotation error, representing a 46.7% reduction compared to the baseline calibration of assembly offsets. parallel manipulators robot kinematic calibration hybrid manipulators pose uncertainty Mechanical engineering and machinery Joshua A. Gordon verfasserin aut Andrew J. Petruska verfasserin aut In Robotics MDPI AG, 2013 10(2021), 4, p 124 (DE-627)718632443 (DE-600)2662587-8 22186581 nnns volume:10 year:2021 number:4, p 124 https://doi.org/10.3390/robotics10040124 kostenfrei https://doaj.org/article/e329b300e07c437783b2217241dbb10b kostenfrei https://www.mdpi.com/2218-6581/10/4/124 kostenfrei https://doaj.org/toc/2218-6581 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2021 4, p 124 |
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10.3390/robotics10040124 doi (DE-627)DOAJ07935808X (DE-599)DOAJe329b300e07c437783b2217241dbb10b DE-627 ger DE-627 rakwb eng TJ1-1570 Benjamin L. Moser verfasserin aut Unified Parameterization and Calibration of Serial, Parallel, and Hybrid Manipulators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools. We introduce a general approach to describe any robotic manipulator using established serial-link representations. We use this framework to generate analytical kinematic and calibration Jacobians for general manipulator constructions using null space constraints and extend the methods to hybrid manipulator types with complex geometry. We leverage the analytical Jacobians to develop detailed expressions for post-calibration pose uncertainties that are applied to describe the relationship between data set size and post-calibration uncertainty. We demonstrate the calibration of a hybrid manipulator assembled from high precision calibrated industrial components resulting in 91.1 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<m RMS position error and 71.2 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<rad RMS rotation error, representing a 46.7% reduction compared to the baseline calibration of assembly offsets. parallel manipulators robot kinematic calibration hybrid manipulators pose uncertainty Mechanical engineering and machinery Joshua A. Gordon verfasserin aut Andrew J. Petruska verfasserin aut In Robotics MDPI AG, 2013 10(2021), 4, p 124 (DE-627)718632443 (DE-600)2662587-8 22186581 nnns volume:10 year:2021 number:4, p 124 https://doi.org/10.3390/robotics10040124 kostenfrei https://doaj.org/article/e329b300e07c437783b2217241dbb10b kostenfrei https://www.mdpi.com/2218-6581/10/4/124 kostenfrei https://doaj.org/toc/2218-6581 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2021 4, p 124 |
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10.3390/robotics10040124 doi (DE-627)DOAJ07935808X (DE-599)DOAJe329b300e07c437783b2217241dbb10b DE-627 ger DE-627 rakwb eng TJ1-1570 Benjamin L. Moser verfasserin aut Unified Parameterization and Calibration of Serial, Parallel, and Hybrid Manipulators 2021 Text txt rdacontent Computermedien c rdamedia Online-Ressource cr rdacarrier In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools. We introduce a general approach to describe any robotic manipulator using established serial-link representations. We use this framework to generate analytical kinematic and calibration Jacobians for general manipulator constructions using null space constraints and extend the methods to hybrid manipulator types with complex geometry. We leverage the analytical Jacobians to develop detailed expressions for post-calibration pose uncertainties that are applied to describe the relationship between data set size and post-calibration uncertainty. We demonstrate the calibration of a hybrid manipulator assembled from high precision calibrated industrial components resulting in 91.1 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<m RMS position error and 71.2 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<rad RMS rotation error, representing a 46.7% reduction compared to the baseline calibration of assembly offsets. parallel manipulators robot kinematic calibration hybrid manipulators pose uncertainty Mechanical engineering and machinery Joshua A. Gordon verfasserin aut Andrew J. Petruska verfasserin aut In Robotics MDPI AG, 2013 10(2021), 4, p 124 (DE-627)718632443 (DE-600)2662587-8 22186581 nnns volume:10 year:2021 number:4, p 124 https://doi.org/10.3390/robotics10040124 kostenfrei https://doaj.org/article/e329b300e07c437783b2217241dbb10b kostenfrei https://www.mdpi.com/2218-6581/10/4/124 kostenfrei https://doaj.org/toc/2218-6581 Journal toc kostenfrei GBV_USEFLAG_A SYSFLAG_A GBV_DOAJ GBV_ILN_11 GBV_ILN_20 GBV_ILN_22 GBV_ILN_23 GBV_ILN_24 GBV_ILN_39 GBV_ILN_40 GBV_ILN_60 GBV_ILN_62 GBV_ILN_63 GBV_ILN_65 GBV_ILN_69 GBV_ILN_70 GBV_ILN_73 GBV_ILN_95 GBV_ILN_105 GBV_ILN_110 GBV_ILN_151 GBV_ILN_161 GBV_ILN_170 GBV_ILN_213 GBV_ILN_230 GBV_ILN_285 GBV_ILN_293 GBV_ILN_370 GBV_ILN_602 GBV_ILN_2014 GBV_ILN_4012 GBV_ILN_4037 GBV_ILN_4112 GBV_ILN_4125 GBV_ILN_4126 GBV_ILN_4249 GBV_ILN_4305 GBV_ILN_4306 GBV_ILN_4307 GBV_ILN_4313 GBV_ILN_4322 GBV_ILN_4323 GBV_ILN_4324 GBV_ILN_4325 GBV_ILN_4335 GBV_ILN_4338 GBV_ILN_4367 GBV_ILN_4700 AR 10 2021 4, p 124 |
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Unified Parameterization and Calibration of Serial, Parallel, and Hybrid Manipulators |
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In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools. We introduce a general approach to describe any robotic manipulator using established serial-link representations. We use this framework to generate analytical kinematic and calibration Jacobians for general manipulator constructions using null space constraints and extend the methods to hybrid manipulator types with complex geometry. We leverage the analytical Jacobians to develop detailed expressions for post-calibration pose uncertainties that are applied to describe the relationship between data set size and post-calibration uncertainty. We demonstrate the calibration of a hybrid manipulator assembled from high precision calibrated industrial components resulting in 91.1 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<m RMS position error and 71.2 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<rad RMS rotation error, representing a 46.7% reduction compared to the baseline calibration of assembly offsets. |
abstractGer |
In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools. We introduce a general approach to describe any robotic manipulator using established serial-link representations. We use this framework to generate analytical kinematic and calibration Jacobians for general manipulator constructions using null space constraints and extend the methods to hybrid manipulator types with complex geometry. We leverage the analytical Jacobians to develop detailed expressions for post-calibration pose uncertainties that are applied to describe the relationship between data set size and post-calibration uncertainty. We demonstrate the calibration of a hybrid manipulator assembled from high precision calibrated industrial components resulting in 91.1 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<m RMS position error and 71.2 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<rad RMS rotation error, representing a 46.7% reduction compared to the baseline calibration of assembly offsets. |
abstract_unstemmed |
In this work, we present methods allowing parallel, hybrid, and serial manipulators to be analyzed, calibrated, and controlled with the same analytical tools. We introduce a general approach to describe any robotic manipulator using established serial-link representations. We use this framework to generate analytical kinematic and calibration Jacobians for general manipulator constructions using null space constraints and extend the methods to hybrid manipulator types with complex geometry. We leverage the analytical Jacobians to develop detailed expressions for post-calibration pose uncertainties that are applied to describe the relationship between data set size and post-calibration uncertainty. We demonstrate the calibration of a hybrid manipulator assembled from high precision calibrated industrial components resulting in 91.1 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<m RMS position error and 71.2 <inline-formula<<math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"<<semantics<<mi mathvariant="sans-serif"<μ</mi<</semantics<</math<</inline-formula<rad RMS rotation error, representing a 46.7% reduction compared to the baseline calibration of assembly offsets. |
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7.4000187 |