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Improved potential energy-shaping for port-controlled Hamiltonian systems
This paper investigates the asymptotical stabilization of port-controlled Hamiltonian (PCH) systems via the improved potential energy-shaping (IPES) method. First, a desired potential energy introduced by a transitive Hamiltonian function is added to the original kinetic energy to yield a desired Ha...
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Published in: | Journal of control theory and applications 2012-08, Vol.10 (3), p.385-390 |
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creator | Cai, Liangcheng He, Yong Wu, Min She, Jinhua |
description | This paper investigates the asymptotical stabilization of port-controlled Hamiltonian (PCH) systems via the improved potential energy-shaping (IPES) method. First, a desired potential energy introduced by a transitive Hamiltonian function is added to the original kinetic energy to yield a desired Hamiltonian function. Second, an asymptotically stabilized controller is designed based on a new matching equation with the obtained Hamiltonian function. Finally, a numerical example is given to show the effectiveness of the proposed method. |
doi_str_mv | 10.1007/s11768-012-0282-9 |
format | article |
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First, a desired potential energy introduced by a transitive Hamiltonian function is added to the original kinetic energy to yield a desired Hamiltonian function. Second, an asymptotically stabilized controller is designed based on a new matching equation with the obtained Hamiltonian function. Finally, a numerical example is given to show the effectiveness of the proposed method.</description><identifier>ISSN: 1672-6340</identifier><identifier>EISSN: 1993-0623</identifier><identifier>DOI: 10.1007/s11768-012-0282-9</identifier><language>eng</language><publisher>Heidelberg: South China University of Technology and Academy of Mathematics and Systems Science, CAS</publisher><subject>Asymptotic properties ; Brief Papers ; Complexity ; Computational Intelligence ; Control ; Control and Systems Theory ; Control theory ; Engineering ; Hamiltonian functions ; Kinetic energy ; Mathematical analysis ; Mathematical models ; Mechatronics ; Optimization ; Potential energy ; Robotics ; Stabilization ; Systems Theory ; 动能 ; 势能 ; 受控 ; 哈密顿函数 ; 哈密顿系统 ; 整形 ; 稳定控制器 ; 端口</subject><ispartof>Journal of control theory and applications, 2012-08, Vol.10 (3), p.385-390</ispartof><rights>South China University of Technology, Academy of Mathematics and Systems Science, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg 2012</rights><lds50>peer_reviewed</lds50><woscitedreferencessubscribed>false</woscitedreferencessubscribed><citedby>FETCH-LOGICAL-c2629-e9288d1d05933e0e6a751421088fd83c8dd068dbeca852c3a6f566f7c4f7f2893</citedby><cites>FETCH-LOGICAL-c2629-e9288d1d05933e0e6a751421088fd83c8dd068dbeca852c3a6f566f7c4f7f2893</cites></display><links><openurl>$$Topenurl_article</openurl><openurlfulltext>$$Topenurlfull_article</openurlfulltext><thumbnail>$$Uhttp://image.cqvip.com/vip1000/qk/87672X/87672X.jpg</thumbnail><link.rule.ids>314,780,784,27924,27925</link.rule.ids></links><search><creatorcontrib>Cai, Liangcheng</creatorcontrib><creatorcontrib>He, Yong</creatorcontrib><creatorcontrib>Wu, Min</creatorcontrib><creatorcontrib>She, Jinhua</creatorcontrib><title>Improved potential energy-shaping for port-controlled Hamiltonian systems</title><title>Journal of control theory and applications</title><addtitle>J. Control Theory Appl</addtitle><addtitle>Journal of Control Theory and Applications</addtitle><description>This paper investigates the asymptotical stabilization of port-controlled Hamiltonian (PCH) systems via the improved potential energy-shaping (IPES) method. First, a desired potential energy introduced by a transitive Hamiltonian function is added to the original kinetic energy to yield a desired Hamiltonian function. Second, an asymptotically stabilized controller is designed based on a new matching equation with the obtained Hamiltonian function. 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Control Theory Appl</stitle><addtitle>Journal of Control Theory and Applications</addtitle><date>2012-08</date><risdate>2012</risdate><volume>10</volume><issue>3</issue><spage>385</spage><epage>390</epage><pages>385-390</pages><issn>1672-6340</issn><eissn>1993-0623</eissn><abstract>This paper investigates the asymptotical stabilization of port-controlled Hamiltonian (PCH) systems via the improved potential energy-shaping (IPES) method. First, a desired potential energy introduced by a transitive Hamiltonian function is added to the original kinetic energy to yield a desired Hamiltonian function. Second, an asymptotically stabilized controller is designed based on a new matching equation with the obtained Hamiltonian function. 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ispartof | Journal of control theory and applications, 2012-08, Vol.10 (3), p.385-390 |
issn | 1672-6340 1993-0623 |
language | eng |
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source | Springer Nature |
subjects | Asymptotic properties Brief Papers Complexity Computational Intelligence Control Control and Systems Theory Control theory Engineering Hamiltonian functions Kinetic energy Mathematical analysis Mathematical models Mechatronics Optimization Potential energy Robotics Stabilization Systems Theory 动能 势能 受控 哈密顿函数 哈密顿系统 整形 稳定控制器 端口 |
title | Improved potential energy-shaping for port-controlled Hamiltonian systems |
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