{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T09:41:48Z","timestamp":1777714908203,"version":"3.51.4"},"reference-count":8,"publisher":"SAGE Publications","issue":"1","license":[{"start":{"date-parts":[[1990,2,1]],"date-time":"1990-02-01T00:00:00Z","timestamp":633830400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["The International Journal of Robotics Research"],"published-print":{"date-parts":[[1990,2]]},"abstract":"<jats:p>In this paper, a new computational method to derive linear ized dynamic models about a nominal trajectory for robot manipulators is developed from the \"straightforward\" La grangian formulation. This method is very simple and sys tematic. It can be applied to compute the feedforward control law (i.e., the generalized forces and torques) about the de sired nominal trajectory, and to design the feedback con troller that reduces or eliminates any deviations from the de sired nominal trajectory. The salient advantage of using this method is the amount of computation for deriving the com plete linearized dynamic model for a manipulator is small enough to make real-time computation on a mini- or micro computer possible. The whole computation for a manipulator with six degrees of freedom requires at most about 2427 multiplications and 1798 additions. Camputationally, this is the fastest of all the existing methods.<\/jats:p>","DOI":"10.1177\/027836499000900107","type":"journal-article","created":{"date-parts":[[2007,3,4]],"date-time":"2007-03-04T20:24:06Z","timestamp":1173039846000},"page":"134-144","source":"Crossref","is-referenced-by-count":14,"title":["A New Computational Method for Linearized Dynamic Models for Robot Manipulators"],"prefix":"10.1177","volume":"9","author":[{"given":"Chang-Jin","family":"Li","sequence":"first","affiliation":[{"name":"Department of Automatic Control Beijing Institute of Technology Beijing, The People's Republic of China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"A.","family":"Hemami","sequence":"additional","affiliation":[{"name":"Centre for Industrial Control Department of Mechanical Engineering Concordia University Montreal, Quebec, Canada H35 1M8"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"T.S.","family":"Sankar","sequence":"additional","affiliation":[{"name":"Centre for Industrial Control Department of Mechanical Engineering Concordia University Montreal, Quebec, Canada H35 1M8"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[1990,2,1]]},"reference":[{"key":"atypb1","doi-asserted-by":"publisher","DOI":"10.1109\/JRA.1986.1087050"},{"key":"atypb2","volume-title":"Robot arm dynamics and control","author":"Bejczy, A.K.","year":"1974"},{"key":"atypb3","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1115\/1.4011045","author":"Denavit, J.","year":"1955","journal-title":"ASME J. Appl. Mech."},{"key":"atypb4","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.1980.4308393"},{"key":"atypb5","doi-asserted-by":"publisher","DOI":"10.1109\/MC.1982.1653917"},{"key":"atypb6","volume-title":"Proc. 1st IEEE Conf. on Robotics","author":"Lee, C.S.G."},{"key":"atypb7","volume-title":"Proc. 1986 IEEE Int. Conf Robotics and Automation","author":"Li, C.-J."},{"key":"atypb8","doi-asserted-by":"publisher","DOI":"10.1109\/TSMC.1984.6313309"}],"container-title":["The International Journal of Robotics Research"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/027836499000900107","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/027836499000900107","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T10:13:16Z","timestamp":1777457596000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/027836499000900107"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1990,2]]},"references-count":8,"journal-issue":{"issue":"1","published-print":{"date-parts":[[1990,2]]}},"alternative-id":["10.1177\/027836499000900107"],"URL":"https:\/\/doi.org\/10.1177\/027836499000900107","relation":{},"ISSN":["0278-3649","1741-3176"],"issn-type":[{"value":"0278-3649","type":"print"},{"value":"1741-3176","type":"electronic"}],"subject":[],"published":{"date-parts":[[1990,2]]}}}