A Computationally Efficient Algorithm to Find Time-Optimal Trajectory of Redundantly Actuated Robots Moving on a Specified Path
A time-optimal problem for redundantly actuated robots moving on a specified path is a challenging problem. Although the problem is well explored and there are proposed solutions based on phase plane analysis, there are still several unresolved issues regarding calculation of solution curves. In thi...
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creator | Mansouri, Saeed Sadigh, Mohammad Jafar Fazeli, Masoud |
description | A time-optimal problem for redundantly actuated robots moving on a specified
path is a challenging problem. Although the problem is well explored and there
are proposed solutions based on phase plane analysis, there are still several
unresolved issues regarding calculation of solution curves. In this paper, we
explore the characteristics of the maximum velocity curve (MVC) and propose an
efficient algorithm to establish the solution curve. Then we propose a
straightforward method to calculate the maximum or minimum possible
acceleration on the path based on the pattern of saturated actuators, which
substantially reduces the computational cost. Two numerical examples are
provided to illustrate the issues and the solutions. |
doi_str_mv | 10.48550/arxiv.1703.00151 |
format | Article |
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path is a challenging problem. Although the problem is well explored and there
are proposed solutions based on phase plane analysis, there are still several
unresolved issues regarding calculation of solution curves. In this paper, we
explore the characteristics of the maximum velocity curve (MVC) and propose an
efficient algorithm to establish the solution curve. Then we propose a
straightforward method to calculate the maximum or minimum possible
acceleration on the path based on the pattern of saturated actuators, which
substantially reduces the computational cost. Two numerical examples are
provided to illustrate the issues and the solutions.</description><identifier>DOI: 10.48550/arxiv.1703.00151</identifier><language>eng</language><subject>Mathematics - Optimization and Control</subject><creationdate>2017-03</creationdate><rights>http://arxiv.org/licenses/nonexclusive-distrib/1.0</rights><oa>free_for_read</oa><woscitedreferencessubscribed>false</woscitedreferencessubscribed></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>228,230,776,881</link.rule.ids><linktorsrc>$$Uhttps://arxiv.org/abs/1703.00151$$EView_record_in_Cornell_University$$FView_record_in_$$GCornell_University$$Hfree_for_read</linktorsrc><backlink>$$Uhttps://doi.org/10.48550/arXiv.1703.00151$$DView paper in arXiv$$Hfree_for_read</backlink></links><search><creatorcontrib>Mansouri, Saeed</creatorcontrib><creatorcontrib>Sadigh, Mohammad Jafar</creatorcontrib><creatorcontrib>Fazeli, Masoud</creatorcontrib><title>A Computationally Efficient Algorithm to Find Time-Optimal Trajectory of Redundantly Actuated Robots Moving on a Specified Path</title><description>A time-optimal problem for redundantly actuated robots moving on a specified
path is a challenging problem. Although the problem is well explored and there
are proposed solutions based on phase plane analysis, there are still several
unresolved issues regarding calculation of solution curves. In this paper, we
explore the characteristics of the maximum velocity curve (MVC) and propose an
efficient algorithm to establish the solution curve. Then we propose a
straightforward method to calculate the maximum or minimum possible
acceleration on the path based on the pattern of saturated actuators, which
substantially reduces the computational cost. Two numerical examples are
provided to illustrate the issues and the solutions.</description><subject>Mathematics - Optimization and Control</subject><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2017</creationdate><recordtype>article</recordtype><sourceid>GOX</sourceid><recordid>eNotkL1OwzAURr0woMIDMHFfIMEmcZyOUdQCUlFRyR5d_7VGiR2lTkUmXp3SMn3DJx3pHEIeGE3zknP6hOO3O6VM0CyllHF2S34qqEM_TBGjCx67boaVtU454yNU3T6MLh56iAHWzmtoXG-S7RBdjx00I34ZFcM4Q7CwM3ryGn08IyoVJ4xGwy7IEI_wHk7O7yF4QPgcjHLWnc8PjIc7cmOxO5r7_12QZr1q6tdks315q6tNgoVgiV3yZ1FQWWBJudWM5lwKoQrLjcqWSqExykihpDXMas5EyXMq8rwoMyasZNmCPF6xlwLtMJ4Fxrn9K9FeSmS_0dNa9w</recordid><startdate>20170301</startdate><enddate>20170301</enddate><creator>Mansouri, Saeed</creator><creator>Sadigh, Mohammad Jafar</creator><creator>Fazeli, Masoud</creator><scope>AKZ</scope><scope>GOX</scope></search><sort><creationdate>20170301</creationdate><title>A Computationally Efficient Algorithm to Find Time-Optimal Trajectory of Redundantly Actuated Robots Moving on a Specified Path</title><author>Mansouri, Saeed ; Sadigh, Mohammad Jafar ; Fazeli, Masoud</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-a671-f952760b6a805fd1045b77c6f5ec39ccaeeceb7cbfe1fd517854074468317fb13</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2017</creationdate><topic>Mathematics - Optimization and Control</topic><toplevel>online_resources</toplevel><creatorcontrib>Mansouri, Saeed</creatorcontrib><creatorcontrib>Sadigh, Mohammad Jafar</creatorcontrib><creatorcontrib>Fazeli, Masoud</creatorcontrib><collection>arXiv Mathematics</collection><collection>arXiv.org</collection></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext_linktorsrc</fulltext></delivery><addata><au>Mansouri, Saeed</au><au>Sadigh, Mohammad Jafar</au><au>Fazeli, Masoud</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>A Computationally Efficient Algorithm to Find Time-Optimal Trajectory of Redundantly Actuated Robots Moving on a Specified Path</atitle><date>2017-03-01</date><risdate>2017</risdate><abstract>A time-optimal problem for redundantly actuated robots moving on a specified
path is a challenging problem. Although the problem is well explored and there
are proposed solutions based on phase plane analysis, there are still several
unresolved issues regarding calculation of solution curves. In this paper, we
explore the characteristics of the maximum velocity curve (MVC) and propose an
efficient algorithm to establish the solution curve. Then we propose a
straightforward method to calculate the maximum or minimum possible
acceleration on the path based on the pattern of saturated actuators, which
substantially reduces the computational cost. Two numerical examples are
provided to illustrate the issues and the solutions.</abstract><doi>10.48550/arxiv.1703.00151</doi><oa>free_for_read</oa></addata></record> |
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subjects | Mathematics - Optimization and Control |
title | A Computationally Efficient Algorithm to Find Time-Optimal Trajectory of Redundantly Actuated Robots Moving on a Specified Path |
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