{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:38Z","timestamp":1740134558005,"version":"3.37.3"},"reference-count":19,"publisher":"Wiley","license":[{"start":{"date-parts":[[2014,1,1]],"date-time":"2014-01-01T00:00:00Z","timestamp":1388534400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11102039","BK2011456"],"award-info":[{"award-number":["11102039","BK2011456"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100004608","name":"Natural Science Foundation of Jiangsu Province","doi-asserted-by":"publisher","award":["11102039","BK2011456"],"award-info":[{"award-number":["11102039","BK2011456"]}],"id":[{"id":"10.13039\/501100004608","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2014]]},"abstract":"<jats:p>Rotational translational actuator (RTAC) system, whose motions occur in horizontal planes, is a benchmark for studying of control techniques. This paper presents dynamical analysis and stabilizing control design for the RTAC system on a slope. Based on Lagrange equations, dynamics of the inclined RTAC system is achieved by selecting cart position and rotor angle as the general coordinates and torque acting on the rotor as general force. The analysis of equilibriums and their controllability yields that controllability of equilibriums depends on inclining direction of the inclined RTAC system. To stabilize the system to its controllable equilibriums, a proper control Lyapunov function including system energy, which is used to show the passivity property of the system, is designed. Consequently, a stabilizing controller is achieved directly based on the second Lyapunov stability theorem. Finally, numerical simulations are performed to verify the correctness and feasibility of our dynamical analysis and control design.<\/jats:p>","DOI":"10.1155\/2014\/598384","type":"journal-article","created":{"date-parts":[[2014,7,3]],"date-time":"2014-07-03T21:08:11Z","timestamp":1404421691000},"page":"1-9","source":"Crossref","is-referenced-by-count":2,"title":["Dynamical Analysis and Stabilizing Control of Inclined Rotational Translational Actuator Systems"],"prefix":"10.1155","volume":"2014","author":[{"given":"Bingtuan","family":"Gao","sequence":"first","affiliation":[{"name":"School of Electrical Engineering, Southeast University, Nanjing 210096, China"},{"name":"Jiangsu Key Laboratory of Smart Grid Technology and Equipment, Zhenjiang 212009, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Fei","family":"Ye","sequence":"additional","affiliation":[{"name":"School of Electrical Engineering, Southeast University, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"first-page":"135","volume-title":"Underactuated mechanical systems","year":"1998","key":"1"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1109\/9.788533"},{"year":"2002","key":"3"},{"key":"4","doi-asserted-by":"publisher","DOI":"10.1007\/BF00114798"},{"key":"5","doi-asserted-by":"publisher","DOI":"10.1002\/(SICI)1099-1239(19980415\/30)8:4\/5<307::AID-RNC354>3.0.CO;2-7"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.1109\/87.491203"},{"issue":"4-5","key":"7","doi-asserted-by":"crossref","first-page":"435","DOI":"10.1002\/(SICI)1099-1239(19980415\/30)8:4\/5<435::AID-RNC355>3.0.CO;2-4","volume":"8","year":"1998","journal-title":"International Journal of Robust and Nonlinear Control"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1007\/s00521-010-0515-0"},{"issue":"4-5","key":"9","doi-asserted-by":"crossref","first-page":"311","DOI":"10.1002\/(SICI)1099-1239(19980415\/30)8:4\/5<311::AID-RNC357>3.0.CO;2-F","volume":"8","year":"1998","journal-title":"International Journal of Robust and Nonlinear Control"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1002\/asjc.222"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1007\/s11071-011-0280-3"},{"key":"12","doi-asserted-by":"publisher","DOI":"10.1109\/87.623037"},{"key":"13","doi-asserted-by":"publisher","DOI":"10.1109\/87.748155"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1016\/j.automatica.2011.01.008"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.3724\/SP.J.1004.2008.01221"},{"key":"20","doi-asserted-by":"publisher","DOI":"10.1016\/j.nonrwa.2009.09.012"},{"issue":"5","key":"16","doi-asserted-by":"crossref","first-page":"1477","DOI":"10.1002\/asjc.543","volume":"15","year":"2013","journal-title":"Asian Journal of Control"},{"year":"1998","key":"17"},{"key":"18","first-page":"185","volume":"36","year":"2014","journal-title":"Transactions of the Institute of Measurement and Control"}],"container-title":["Journal of Applied Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/598384.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/598384.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/jam\/2014\/598384.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,5,28]],"date-time":"2024-05-28T22:26:41Z","timestamp":1716935201000},"score":1,"resource":{"primary":{"URL":"http:\/\/www.hindawi.com\/journals\/jam\/2014\/598384\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014]]},"references-count":19,"alternative-id":["598384","598384"],"URL":"https:\/\/doi.org\/10.1155\/2014\/598384","relation":{},"ISSN":["1110-757X","1687-0042"],"issn-type":[{"type":"print","value":"1110-757X"},{"type":"electronic","value":"1687-0042"}],"subject":[],"published":{"date-parts":[[2014]]}}}