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Multiplayer zero‐sum games optimal control for modular robot manipulators with interconnected dynamic couplings
Summary This article presents a multiplayer zero‐sum game optimal control for modular robot manipulators (MRMs) via adaptive dynamic programming (ADP). The dynamic model of MRMs with interconnected dynamic couplings (IDCs) is formulated. The control law and IDC effect are regarded as players in each...
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Published in: | International journal of adaptive control and signal processing 2022-12, Vol.36 (12), p.3254-3270 |
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container_title | International journal of adaptive control and signal processing |
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creator | Zhu, Xinye An, Tianjiao Dong, Bo |
description | Summary
This article presents a multiplayer zero‐sum game optimal control for modular robot manipulators (MRMs) via adaptive dynamic programming (ADP). The dynamic model of MRMs with interconnected dynamic couplings (IDCs) is formulated. The control law and IDC effect are regarded as players in each module. The optimal tracking control problem of the MRM system can be transformed into a multiplayer zero‐sum game. Base on ADP algorithm, the Hamilton–Jacobi–Issacs (HJI) equation is solved via critic neural network. Then, the optimal control law can be derivated. The closed‐loop robotic system is proved to be asymptotic stable and experiments are conducted to verify the effectiveness of the control method. |
doi_str_mv | 10.1002/acs.3512 |
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This article presents a multiplayer zero‐sum game optimal control for modular robot manipulators (MRMs) via adaptive dynamic programming (ADP). The dynamic model of MRMs with interconnected dynamic couplings (IDCs) is formulated. The control law and IDC effect are regarded as players in each module. The optimal tracking control problem of the MRM system can be transformed into a multiplayer zero‐sum game. Base on ADP algorithm, the Hamilton–Jacobi–Issacs (HJI) equation is solved via critic neural network. Then, the optimal control law can be derivated. The closed‐loop robotic system is proved to be asymptotic stable and experiments are conducted to verify the effectiveness of the control method.</description><identifier>ISSN: 0890-6327</identifier><identifier>EISSN: 1099-1115</identifier><identifier>DOI: 10.1002/acs.3512</identifier><language>eng</language><publisher>Bognor Regis: Wiley Subscription Services, Inc</publisher><subject>Adaptive control ; adaptive dynamic programming ; Algorithms ; Control methods ; Control theory ; Couplings ; Dynamic models ; Dynamic programming ; Manipulators ; modular robot manipulators ; multiplayer zero‐sum game ; Neural networks ; Optimal control ; Robot arms ; Robot control ; Tracking control</subject><ispartof>International journal of adaptive control and signal processing, 2022-12, Vol.36 (12), p.3254-3270</ispartof><rights>2022 John Wiley & Sons Ltd.</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><cites>FETCH-LOGICAL-c2542-84788d5f99faa91a4c2462ec5e3b3f0d22e52bf7946c3e420236e5544e4a15903</cites><orcidid>0000-0003-3988-8054 ; 0000-0002-4292-6691</orcidid></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Tsyndetics_thumb_exl</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Zhu, Xinye</creatorcontrib><creatorcontrib>An, Tianjiao</creatorcontrib><creatorcontrib>Dong, Bo</creatorcontrib><title>Multiplayer zero‐sum games optimal control for modular robot manipulators with interconnected dynamic couplings</title><title>International journal of adaptive control and signal processing</title><description>Summary
This article presents a multiplayer zero‐sum game optimal control for modular robot manipulators (MRMs) via adaptive dynamic programming (ADP). The dynamic model of MRMs with interconnected dynamic couplings (IDCs) is formulated. The control law and IDC effect are regarded as players in each module. The optimal tracking control problem of the MRM system can be transformed into a multiplayer zero‐sum game. Base on ADP algorithm, the Hamilton–Jacobi–Issacs (HJI) equation is solved via critic neural network. Then, the optimal control law can be derivated. The closed‐loop robotic system is proved to be asymptotic stable and experiments are conducted to verify the effectiveness of the control method.</description><subject>Adaptive control</subject><subject>adaptive dynamic programming</subject><subject>Algorithms</subject><subject>Control methods</subject><subject>Control theory</subject><subject>Couplings</subject><subject>Dynamic models</subject><subject>Dynamic programming</subject><subject>Manipulators</subject><subject>modular robot manipulators</subject><subject>multiplayer zero‐sum game</subject><subject>Neural networks</subject><subject>Optimal control</subject><subject>Robot arms</subject><subject>Robot control</subject><subject>Tracking control</subject><issn>0890-6327</issn><issn>1099-1115</issn><fulltext>true</fulltext><rsrctype>article</rsrctype><creationdate>2022</creationdate><recordtype>article</recordtype><recordid>eNp1kE1OwzAQRi0EEqUgcQRLbNik2I6dxMuq4k8qYgGsLddxiisnTm1HVVhxBM7ISXApW1aj0bz5RvMAuMRohhEiN1KFWc4wOQITjDjPMMbsGExQxVFW5KQ8BWchbBBKM5xPwPZpsNH0Vo7aww_t3ffnVxhauJatDtD10bTSQuW66J2FjfOwdfVgpYferVyErexMn_rofIA7E9-h6aL2aaHTKuoa1mMnW6NSxNBb063DOThppA364q9Owdvd7eviIVs-3z8u5stMEUZJVtGyqmrWcN5IybGkitCCaMV0vsobVBOiGVk1JaeFyjUliOSFZoxSTSVmHOVTcHXI7b3bDjpEsXGD79JJQUrKCs44LhJ1faCUdyF43Yjep5f9KDASe6EiCRV7oQnNDujOWD3-y4n54uWX_wHd5nnf</recordid><startdate>202212</startdate><enddate>202212</enddate><creator>Zhu, Xinye</creator><creator>An, Tianjiao</creator><creator>Dong, Bo</creator><general>Wiley Subscription Services, Inc</general><scope>AAYXX</scope><scope>CITATION</scope><scope>7SC</scope><scope>7SP</scope><scope>8FD</scope><scope>JQ2</scope><scope>L7M</scope><scope>L~C</scope><scope>L~D</scope><orcidid>https://orcid.org/0000-0003-3988-8054</orcidid><orcidid>https://orcid.org/0000-0002-4292-6691</orcidid></search><sort><creationdate>202212</creationdate><title>Multiplayer zero‐sum games optimal control for modular robot manipulators with interconnected dynamic couplings</title><author>Zhu, Xinye ; An, Tianjiao ; Dong, Bo</author></sort><facets><frbrtype>5</frbrtype><frbrgroupid>cdi_FETCH-LOGICAL-c2542-84788d5f99faa91a4c2462ec5e3b3f0d22e52bf7946c3e420236e5544e4a15903</frbrgroupid><rsrctype>articles</rsrctype><prefilter>articles</prefilter><language>eng</language><creationdate>2022</creationdate><topic>Adaptive control</topic><topic>adaptive dynamic programming</topic><topic>Algorithms</topic><topic>Control methods</topic><topic>Control theory</topic><topic>Couplings</topic><topic>Dynamic models</topic><topic>Dynamic programming</topic><topic>Manipulators</topic><topic>modular robot manipulators</topic><topic>multiplayer zero‐sum game</topic><topic>Neural networks</topic><topic>Optimal control</topic><topic>Robot arms</topic><topic>Robot control</topic><topic>Tracking control</topic><toplevel>peer_reviewed</toplevel><toplevel>online_resources</toplevel><creatorcontrib>Zhu, Xinye</creatorcontrib><creatorcontrib>An, Tianjiao</creatorcontrib><creatorcontrib>Dong, Bo</creatorcontrib><collection>CrossRef</collection><collection>Computer and Information Systems Abstracts</collection><collection>Electronics & Communications Abstracts</collection><collection>Technology Research Database</collection><collection>ProQuest Computer Science Collection</collection><collection>Advanced Technologies Database with Aerospace</collection><collection>Computer and Information Systems Abstracts Academic</collection><collection>Computer and Information Systems Abstracts Professional</collection><jtitle>International journal of adaptive control and signal processing</jtitle></facets><delivery><delcategory>Remote Search Resource</delcategory><fulltext>fulltext</fulltext></delivery><addata><au>Zhu, Xinye</au><au>An, Tianjiao</au><au>Dong, Bo</au><format>journal</format><genre>article</genre><ristype>JOUR</ristype><atitle>Multiplayer zero‐sum games optimal control for modular robot manipulators with interconnected dynamic couplings</atitle><jtitle>International journal of adaptive control and signal processing</jtitle><date>2022-12</date><risdate>2022</risdate><volume>36</volume><issue>12</issue><spage>3254</spage><epage>3270</epage><pages>3254-3270</pages><issn>0890-6327</issn><eissn>1099-1115</eissn><abstract>Summary
This article presents a multiplayer zero‐sum game optimal control for modular robot manipulators (MRMs) via adaptive dynamic programming (ADP). The dynamic model of MRMs with interconnected dynamic couplings (IDCs) is formulated. The control law and IDC effect are regarded as players in each module. The optimal tracking control problem of the MRM system can be transformed into a multiplayer zero‐sum game. Base on ADP algorithm, the Hamilton–Jacobi–Issacs (HJI) equation is solved via critic neural network. Then, the optimal control law can be derivated. The closed‐loop robotic system is proved to be asymptotic stable and experiments are conducted to verify the effectiveness of the control method.</abstract><cop>Bognor Regis</cop><pub>Wiley Subscription Services, Inc</pub><doi>10.1002/acs.3512</doi><tpages>17</tpages><orcidid>https://orcid.org/0000-0003-3988-8054</orcidid><orcidid>https://orcid.org/0000-0002-4292-6691</orcidid></addata></record> |
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subjects | Adaptive control adaptive dynamic programming Algorithms Control methods Control theory Couplings Dynamic models Dynamic programming Manipulators modular robot manipulators multiplayer zero‐sum game Neural networks Optimal control Robot arms Robot control Tracking control |
title | Multiplayer zero‐sum games optimal control for modular robot manipulators with interconnected dynamic couplings |
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