Energy plane analysis for passive dynamic walking
In this paper, we introduce a novel concept to explore passive dynamic walking. When a planar bipedal robot walks down a shallow slope without any actuations, the total energy of the system moves dynamically because of interactions between energy loss and gain at impact. Our approach is to plot ener...
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creator | Jae-Sung Moon Spong, Mark W. |
description | In this paper, we introduce a novel concept to explore passive dynamic walking. When a planar bipedal robot walks down a shallow slope without any actuations, the total energy of the system moves dynamically because of interactions between energy loss and gain at impact. Our approach is to plot energy trajectories in a two-dimensional space spanned by the total energy and the rate change of it. We define new terms for energy plane analysis and then compare energy plane analysis with phase plane analysis to show the effectiveness of our approach. One of the main advantages is that the dynamic behavior of passive walking can be seen in a two-dimensional plane regardless of the dimension of the system. Our results help us to understand some aspects of passive dynamic walking such as its stability, the basin of attraction, and bifurcations. |
doi_str_mv | 10.1109/HUMANOIDS.2012.6651578 |
format | Conference Proceeding |
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When a planar bipedal robot walks down a shallow slope without any actuations, the total energy of the system moves dynamically because of interactions between energy loss and gain at impact. Our approach is to plot energy trajectories in a two-dimensional space spanned by the total energy and the rate change of it. We define new terms for energy plane analysis and then compare energy plane analysis with phase plane analysis to show the effectiveness of our approach. One of the main advantages is that the dynamic behavior of passive walking can be seen in a two-dimensional plane regardless of the dimension of the system. Our results help us to understand some aspects of passive dynamic walking such as its stability, the basin of attraction, and bifurcations.</description><identifier>ISSN: 2164-0572</identifier><identifier>EISBN: 9781467313698</identifier><identifier>EISBN: 1467313696</identifier><identifier>DOI: 10.1109/HUMANOIDS.2012.6651578</identifier><language>eng</language><publisher>IEEE</publisher><subject>Equations ; Kinetic energy ; Legged locomotion ; Limit-cycles ; Stability analysis ; Trajectory ; Wheels</subject><ispartof>2012 12th IEEE-RAS International Conference on Humanoid Robots (Humanoids 2012), 2012, p.580-585</ispartof><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><linktohtml>$$Uhttps://ieeexplore.ieee.org/document/6651578$$EHTML$$P50$$Gieee$$H</linktohtml><link.rule.ids>310,311,781,785,790,791,2059,27930,54925</link.rule.ids><linktorsrc>$$Uhttps://ieeexplore.ieee.org/document/6651578$$EView_record_in_IEEE$$FView_record_in_$$GIEEE</linktorsrc></links><search><creatorcontrib>Jae-Sung Moon</creatorcontrib><creatorcontrib>Spong, Mark W.</creatorcontrib><title>Energy plane analysis for passive dynamic walking</title><title>2012 12th IEEE-RAS International Conference on Humanoid Robots (Humanoids 2012)</title><addtitle>HUMANOIDS</addtitle><description>In this paper, we introduce a novel concept to explore passive dynamic walking. When a planar bipedal robot walks down a shallow slope without any actuations, the total energy of the system moves dynamically because of interactions between energy loss and gain at impact. Our approach is to plot energy trajectories in a two-dimensional space spanned by the total energy and the rate change of it. We define new terms for energy plane analysis and then compare energy plane analysis with phase plane analysis to show the effectiveness of our approach. One of the main advantages is that the dynamic behavior of passive walking can be seen in a two-dimensional plane regardless of the dimension of the system. Our results help us to understand some aspects of passive dynamic walking such as its stability, the basin of attraction, and bifurcations.</description><subject>Equations</subject><subject>Kinetic energy</subject><subject>Legged locomotion</subject><subject>Limit-cycles</subject><subject>Stability analysis</subject><subject>Trajectory</subject><subject>Wheels</subject><issn>2164-0572</issn><isbn>9781467313698</isbn><isbn>1467313696</isbn><fulltext>true</fulltext><rsrctype>conference_proceeding</rsrctype><creationdate>2012</creationdate><recordtype>conference_proceeding</recordtype><sourceid>6IE</sourceid><sourceid>RIE</sourceid><recordid>eNotj9FKwzAUQCMoOGa_QJD8QOu9SZObPo453WC6B93zuGuTEe1qaUTp3zvYns7b4RwhHhAKRKgel9vX2dtm9fReKEBVWGvQkLsSWUUOS0sata3ctZgotGUOhtStyFL6BAAka0tSE4GLzg-HUfYtd15yx-2YYpLhe5A9pxR_vWzGjo-xln_cfsXucCduArfJZxdOxfZ58TFf5uvNy2o-W-cRyfzkpDQQ6RoZ-ZSiucR9sCaANvVeOVDaAbvKUgVsLVa1cmT4VF42TVAm6Km4P3uj937XD_HIw7i7TOp_0-NFAA</recordid><startdate>201211</startdate><enddate>201211</enddate><creator>Jae-Sung Moon</creator><creator>Spong, Mark W.</creator><general>IEEE</general><scope>6IE</scope><scope>6IL</scope><scope>CBEJK</scope><scope>RIE</scope><scope>RIL</scope></search><sort><creationdate>201211</creationdate><title>Energy plane analysis for passive dynamic walking</title><author>Jae-Sung Moon ; Spong, Mark W.</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-i175t-7230773c1a1a6733a41bf65f035cb2802380a896790a6619c2875a9784ddf25f3</frbrgroupid><rsrctype>conference_proceedings</rsrctype><prefilter>conference_proceedings</prefilter><language>eng</language><creationdate>2012</creationdate><topic>Equations</topic><topic>Kinetic energy</topic><topic>Legged locomotion</topic><topic>Limit-cycles</topic><topic>Stability analysis</topic><topic>Trajectory</topic><topic>Wheels</topic><toplevel>online_resources</toplevel><creatorcontrib>Jae-Sung Moon</creatorcontrib><creatorcontrib>Spong, Mark W.</creatorcontrib><collection>IEEE Electronic Library (IEL) Conference Proceedings</collection><collection>IEEE Proceedings Order Plan All Online (POP All Online) 1998-present by volume</collection><collection>IEEE Xplore All Conference Proceedings</collection><collection>IEEE Electronic Library (IEL)</collection><collection>IEEE Proceedings Order Plans (POP All) 1998-Present</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Jae-Sung Moon</au><au>Spong, Mark W.</au><format>book</format><genre>proceeding</genre><ristype>CONF</ristype><atitle>Energy plane analysis for passive dynamic walking</atitle><btitle>2012 12th IEEE-RAS International Conference on Humanoid Robots (Humanoids 2012)</btitle><stitle>HUMANOIDS</stitle><date>2012-11</date><risdate>2012</risdate><spage>580</spage><epage>585</epage><pages>580-585</pages><issn>2164-0572</issn><eisbn>9781467313698</eisbn><eisbn>1467313696</eisbn><abstract>In this paper, we introduce a novel concept to explore passive dynamic walking. When a planar bipedal robot walks down a shallow slope without any actuations, the total energy of the system moves dynamically because of interactions between energy loss and gain at impact. Our approach is to plot energy trajectories in a two-dimensional space spanned by the total energy and the rate change of it. We define new terms for energy plane analysis and then compare energy plane analysis with phase plane analysis to show the effectiveness of our approach. One of the main advantages is that the dynamic behavior of passive walking can be seen in a two-dimensional plane regardless of the dimension of the system. Our results help us to understand some aspects of passive dynamic walking such as its stability, the basin of attraction, and bifurcations.</abstract><pub>IEEE</pub><doi>10.1109/HUMANOIDS.2012.6651578</doi><tpages>6</tpages></addata></record> |
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identifier | ISSN: 2164-0572 |
ispartof | 2012 12th IEEE-RAS International Conference on Humanoid Robots (Humanoids 2012), 2012, p.580-585 |
issn | 2164-0572 |
language | eng |
recordid | cdi_ieee_primary_6651578 |
source | IEEE Electronic Library (IEL) Conference Proceedings |
subjects | Equations Kinetic energy Legged locomotion Limit-cycles Stability analysis Trajectory Wheels |
title | Energy plane analysis for passive dynamic walking |
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