Symbolic computation of the inverse dynamics of elastic joint robots
Efficient calculation of the inverse dynamics of robotic mechanisms serves as a basis for a variety of control schemes. Classical algorithms for rigid multibody systems do not apply when more realistic modeling is required. The computational treatment of the emerging non-linear equations augmented b...
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creator | Hopler, R. Thummel, M. |
description | Efficient calculation of the inverse dynamics of robotic mechanisms serves as a basis for a variety of control schemes. Classical algorithms for rigid multibody systems do not apply when more realistic modeling is required. The computational treatment of the emerging non-linear equations augmented by drivetrain dynamics and elasticity imposes various challenges on the algorithmic solutions. This paper presents a method for recursive calculation of the inverse dynamics of real-world robots considering elasticity and gyroscopic effects introduced by the drivetrains. A study of the equations of motion elucidates the demand for analytical derivatives of the dynamics up to a maximum order depending on the number of joints. This problem is solved for the first time by means of higher-order time derivatives of spatial operators proposed by the spatial operator algebra. |
doi_str_mv | 10.1109/ROBOT.2004.1302396 |
format | Conference Proceeding |
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Classical algorithms for rigid multibody systems do not apply when more realistic modeling is required. The computational treatment of the emerging non-linear equations augmented by drivetrain dynamics and elasticity imposes various challenges on the algorithmic solutions. This paper presents a method for recursive calculation of the inverse dynamics of real-world robots considering elasticity and gyroscopic effects introduced by the drivetrains. A study of the equations of motion elucidates the demand for analytical derivatives of the dynamics up to a maximum order depending on the number of joints. 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This problem is solved for the first time by means of higher-order time derivatives of spatial operators proposed by the spatial operator algebra.</description><subject>Algebra</subject><subject>Applied sciences</subject><subject>Computer science; control theory; systems</subject><subject>Control theory. Systems</subject><subject>Elasticity</subject><subject>Exact sciences and technology</subject><subject>Feeds</subject><subject>Fundamental areas of phenomenology (including applications)</subject><subject>Lagrangian functions</subject><subject>Mechatronics</subject><subject>Motion analysis</subject><subject>Nonlinear equations</subject><subject>Path planning</subject><subject>Physics</subject><subject>Robot control</subject><subject>Robot kinematics</subject><subject>Robotics</subject><subject>Solid mechanics</subject><subject>Static elasticity (thermoelasticity...)</subject><subject>Structural and continuum mechanics</subject><issn>1050-4729</issn><issn>2577-087X</issn><isbn>9780780382329</isbn><isbn>0780382323</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2004</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNpFkFtLAzEQhYMXsGj_gL7si49bJ5Nks3nUeoVCQSv4VrLTBFN2N2UThf57Vyo4DBw452PgDGOXHGacg7l5Xd4tVzMEkDMuAIWpjtgEldYl1PrjmE2NrmFcUaNAc8ImHBSUUqM5Y9OUtjCOVJJLmLD7t33XxDZQQbHbfWWbQ-yL6Iv86YrQf7shuWKz720XKP36rrUpj_g2hj4XQ2xiThfs1Ns2uemfnrP3x4fV_LlcLJ9e5reLMqDUueTSeoHQOFlhLVVDjbHkCTVWjXB1pTdYIVnpJXEPqMgLI4wiISvlSIE4Z9eHuzubyLZ-sD2FtN4NobPDfs3HzkZyHLmrAxecc__x4VfiBy7-Wv8</recordid><startdate>2004</startdate><enddate>2004</enddate><creator>Hopler, R.</creator><creator>Thummel, M.</creator><general>IEEE</general><scope>6IE</scope><scope>6IH</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIO</scope><scope>IQODW</scope></search><sort><creationdate>2004</creationdate><title>Symbolic computation of the inverse dynamics of elastic joint robots</title><author>Hopler, R. ; Thummel, M.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i247t-14af320be462845bcb9acfc2726b3e867d262ca4f4c1f025cf39395c3465ec503</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2004</creationdate><topic>Algebra</topic><topic>Applied sciences</topic><topic>Computer science; control theory; systems</topic><topic>Control theory. Systems</topic><topic>Elasticity</topic><topic>Exact sciences and technology</topic><topic>Feeds</topic><topic>Fundamental areas of phenomenology (including applications)</topic><topic>Lagrangian functions</topic><topic>Mechatronics</topic><topic>Motion analysis</topic><topic>Nonlinear equations</topic><topic>Path planning</topic><topic>Physics</topic><topic>Robot control</topic><topic>Robot kinematics</topic><topic>Robotics</topic><topic>Solid mechanics</topic><topic>Static elasticity (thermoelasticity...)</topic><topic>Structural and continuum mechanics</topic><toplevel>online_resources</toplevel><creatorcontrib>Hopler, R.</creatorcontrib><creatorcontrib>Thummel, M.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan (POP) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP) 1998-present</collection><collection>Pascal-Francis</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Hopler, R.</au><au>Thummel, M.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Symbolic computation of the inverse dynamics of elastic joint robots</atitle><btitle>IEEE International Conference on Robotics and Automation, 2004. Proceedings. ICRA '04. 2004</btitle><stitle>ROBOT</stitle><date>2004</date><risdate>2004</risdate><volume>5</volume><spage>4314</spage><epage>4319 Vol.5</epage><pages>4314-4319 Vol.5</pages><issn>1050-4729</issn><eissn>2577-087X</eissn><isbn>9780780382329</isbn><isbn>0780382323</isbn><abstract>Efficient calculation of the inverse dynamics of robotic mechanisms serves as a basis for a variety of control schemes. Classical algorithms for rigid multibody systems do not apply when more realistic modeling is required. The computational treatment of the emerging non-linear equations augmented by drivetrain dynamics and elasticity imposes various challenges on the algorithmic solutions. This paper presents a method for recursive calculation of the inverse dynamics of real-world robots considering elasticity and gyroscopic effects introduced by the drivetrains. 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source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Algebra Applied sciences Computer science control theory systems Control theory. Systems Elasticity Exact sciences and technology Feeds Fundamental areas of phenomenology (including applications) Lagrangian functions Mechatronics Motion analysis Nonlinear equations Path planning Physics Robot control Robot kinematics Robotics Solid mechanics Static elasticity (thermoelasticity...) Structural and continuum mechanics |
title | Symbolic computation of the inverse dynamics of elastic joint robots |
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