{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,8,7]],"date-time":"2024-08-07T01:11:48Z","timestamp":1722993108442},"reference-count":36,"publisher":"Fuji Technology Press Ltd.","issue":"1","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Robot. Mechatron.","JRM"],"published-print":{"date-parts":[[2015,2,20]]},"abstract":"<div class=\"\"abs_img\"\"><img src=\"\"[disp_template_path]\/JRM\/abst-image\/00270001\/06.jpg\"\" width=\"\"300\"\" \/>Plant uncertainties compensation<\/div> In this paper, a robust nonlinear perfect tracking control for a robot arm with uncertainties is proposed by using operator-based robust right coprime factorization approach. In general, there exist unknown modelling errors in measuring structural parameters of the robot arm and external disturbances in real situations. In the present control system design, the effect of the modelling errors and disturbances on the system performance is considered to be uncertainties of the robot arm dynamics. Considering the uncertainties, a robust nonlinear perfect tracking control using operator-based robust right coprime factorization is investigated. That is, first, considering the unknown uncertain plant generates limitations in obtaining the so-called universal stability and tracking conditions, the effect of uncertain plant is compensated by designed operator-based feedback control scheme. Second, a new perfect tracking condition is proposed for improving the trajectory of the robot arm. Finally, the effectiveness of the designed system is confirmed by simulation results. <\/span><\/jats:p>","DOI":"10.20965\/jrm.2015.p0049","type":"journal-article","created":{"date-parts":[[2016,4,14]],"date-time":"2016-04-14T02:23:03Z","timestamp":1460600583000},"page":"49-56","source":"Crossref","is-referenced-by-count":7,"title":["Nonlinear Perfect Tracking Control for a Robot Arm with Uncertainties Using Operator-Based Robust Right Coprime Factorization Approach"],"prefix":"10.20965","volume":"27","author":[{"given":"Aihui","family":"Wang","sequence":"first","affiliation":[]},{"name":"School of Electric and Information Engineering, Zhongyuan University of Technology","sequence":"first","affiliation":[]},{"given":"Dongyun","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Haiquan","family":"Wang","sequence":"additional","affiliation":[]},{"given":"Shengjun","family":"Wen","sequence":"additional","affiliation":[]},{"given":"Mingcong","family":"Deng","sequence":"additional","affiliation":[]},{"name":"Graduate School of Engineering, Tokyo University of Agriculture and Technology","sequence":"additional","affiliation":[]}],"member":"8550","published-online":{"date-parts":[[2015,2,20]]},"reference":[{"key":"key-10.20965\/jrm.2015.p0049-1","doi-asserted-by":"crossref","unstructured":"F. L. Lewis, D. M. Dawson, and C. T. Abdallah, \u201cRobot Manipulator Control: Theory and Practice,\u201d Marcel Dekker, Inc., 2004.","DOI":"10.1201\/9780203026953"},{"key":"key-10.20965\/jrm.2015.p0049-2","doi-asserted-by":"crossref","unstructured":"N. Hogan, \u201cImpedance control of industrial robots,\u201d Robotics & Computer-Integrated Manufacturing, Vol.1, No.1, pp. 97-113, 1984.","DOI":"10.1016\/0736-5845(84)90084-X"},{"key":"key-10.20965\/jrm.2015.p0049-3","doi-asserted-by":"crossref","unstructured":"R. Richardson, M. Brown, B. Bhakta, and M. Levesley, \u201cImpedance control for a pneumatic robot-based around pole-placement, joint space controllers,\u201d Control Engineering Practice, Vol.13, No.3, pp. 291-303, 2005.","DOI":"10.1016\/j.conengprac.2004.03.011"},{"key":"key-10.20965\/jrm.2015.p0049-4","doi-asserted-by":"crossref","unstructured":"S. Islam and X. Liu, \u201cRobust sliding mode control for robot manipulators,\u201d IEEE Trans. on Industrial Electronics, Vol.58, No.6, pp. 2444-2453, 2011.","DOI":"10.1109\/TIE.2010.2062472"},{"key":"key-10.20965\/jrm.2015.p0049-5","doi-asserted-by":"crossref","unstructured":"C. S. Kim, E. J. Mo, S. M. Han, M. S. Jie, and K. W. Lee, \u201cRobust visual servo control of robot manipulators with uncertain dynamics and camera parameters,\u201d Int. J. of Control, Automation, and Systems, Vol.8, No.2, pp. 308-313, 2010.","DOI":"10.1007\/s12555-010-0217-5"},{"key":"key-10.20965\/jrm.2015.p0049-6","unstructured":"A. A. Ata, \u201cOptimal trajectory planning of manipulators: a review,\u201d J. of Engineering Science and Technology, Vol.2, No.1, pp. 32-54, 2007."},{"key":"key-10.20965\/jrm.2015.p0049-7","doi-asserted-by":"crossref","unstructured":"G. Simmons and Y. Demiris, \u201cOptimal robot arm control using the minimum variance model,\u201d J. of Robotic Systems, Vol.22, No.11, pp. 677-690, 2005.","DOI":"10.1002\/rob.20092"},{"key":"key-10.20965\/jrm.2015.p0049-8","doi-asserted-by":"crossref","unstructured":"V. Arakelian, J. L. Baron, and P. Mottu, \u201cTorque minimisation of the 2-DOF serial manipulators based on minimum energy consideration and optimum mass redistribution,\u201d Mechatronics, Vol.21, No.1, pp. 310-314, 2011.","DOI":"10.1016\/j.mechatronics.2010.11.009"},{"key":"key-10.20965\/jrm.2015.p0049-9","doi-asserted-by":"crossref","unstructured":"S. Devasia, \u201cNonlinear minimum-time control with pre- and post-actuation,\u201d Automatica, Vol.47, No.7, pp. 1379-1387, 2011.","DOI":"10.1016\/j.automatica.2011.02.022"},{"key":"key-10.20965\/jrm.2015.p0049-10","doi-asserted-by":"crossref","unstructured":"P. Tomei, \u201cAdaptive PD controller for robot manipulators,\u201d IEEE Trans. on Robotics and Automation, Vol.7, No.4, pp. 565-570, 1991.","DOI":"10.1109\/70.86088"},{"key":"key-10.20965\/jrm.2015.p0049-11","doi-asserted-by":"crossref","unstructured":"C. Chiena and A. Tayebib, \u201cFurther results on adaptive iterative learning control of robot manipulators,\u201d Automatica, Vol.44, No.3, pp. 830-837, 2008.","DOI":"10.1016\/j.automatica.2007.06.023"},{"key":"key-10.20965\/jrm.2015.p0049-12","unstructured":"H. Le, S. Lee, and C. Lee, \u201cIntegration model reference adaptive control and exact linearization with disturbance rejection for control of robot manipulators,\u201d Int. J. of Innovative Computing, Informa-tion and Control, Vol.7, No.6, pp. 3255-3268, 2011."},{"key":"key-10.20965\/jrm.2015.p0049-13","doi-asserted-by":"crossref","unstructured":"K. Althoefer, B. Krekelberg, D. Husmeier, and L. Seneviratne, \u201cReinforcement learning in a rule-based navigator for robotic manipulators,\u201d Neurocomputing, Vol.37, No.1-4, pp. 51-70, 2011.","DOI":"10.1016\/S0925-2312(00)00307-6"},{"key":"key-10.20965\/jrm.2015.p0049-14","doi-asserted-by":"crossref","unstructured":"C. T. Freeman, P. L. Lewin, E. Rogers, and J. D. Ratcliffe, \u201cIterative learning control applied to a gantry robot and conveyor system,\u201d Trans. of the Institute of Measurement and Control, Vol.32, No.3, pp. 251-264, 2010.","DOI":"10.1177\/0142331209104155"},{"key":"key-10.20965\/jrm.2015.p0049-15","doi-asserted-by":"crossref","unstructured":"N. Kumara, V. Panwarb, N. Sukavanamc, S. P. Sharmac, and J. H. Borma, \u201cNeural network-based nonlinear tracking control of kinematically redundant robot manipulators,\u201d Mathematical and Computer Modelling, Vol.53, No.9-10, pp. 1889-1901, 2011.","DOI":"10.1016\/j.mcm.2011.01.014"},{"key":"key-10.20965\/jrm.2015.p0049-16","doi-asserted-by":"crossref","unstructured":"T. Sun, H. Pei, Y. Pan, H. Zhou, and C. Zhang, \u201cNeural network-based sliding mode adaptive control for robot manipulators,\u201d Neurocomputing, Vol.74, No.14-15, pp. 2377-2384, 2011.","DOI":"10.1016\/j.neucom.2011.03.015"},{"key":"key-10.20965\/jrm.2015.p0049-17","doi-asserted-by":"crossref","unstructured":"C. C. Cheng, S. H. Chien, and F. C. Shih, \u201cDesign of robust adaptive variable structure tracking controllers with application to rigid robot manipulators,\u201d IET Control Theory & Applications, Vol.4, No.9, pp. 1655-1664, 2010.","DOI":"10.1049\/iet-cta.2009.0194"},{"key":"key-10.20965\/jrm.2015.p0049-18","unstructured":"F. Moldoveanu, V. Comnac, D. 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Franelak, \u201cRobust tracking controller with constraints using generalized velocity components for manipulators,\u201d Trans. of the Institute of Measurement and Control, Vol.30, No.2, pp. 101-113, 2008.","DOI":"10.1177\/0142331207078507"},{"key":"key-10.20965\/jrm.2015.p0049-25","doi-asserted-by":"crossref","unstructured":"R. Fukui, H. Morishita, and T. Sato, \u201cExperimental comparison of two ceiling hanging mobile robots through real prototypes development,\u201d J. Robotics and Mechatronics, Vol.26, No.1, pp. 40-50, 2014.","DOI":"10.20965\/jrm.2014.p0040"},{"key":"key-10.20965\/jrm.2015.p0049-26","doi-asserted-by":"crossref","unstructured":"X. Dai, Z. Yao, and Y. Zhao, \u201cA discrete adaptive auction-based algorithm for task assignments of multi-robot systems,\u201d J. Robotics and Mechatronics, Vol.26, No.3, pp. 369-376, 2014.","DOI":"10.20965\/jrm.2014.p0369"},{"key":"key-10.20965\/jrm.2015.p0049-27","unstructured":"S. Hashimoto, A. Ishida, M. Inami, and T. 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Deng, \u201cOperator-based robust nonlinear tracking control for a human multi-joint arm-like manipulator with unknown time-varying delays,\u201d Applied Mathematics & Information Sciences, Vol.6, No.3, pp. 459-468, 2012."},{"key":"key-10.20965\/jrm.2015.p0049-31","doi-asserted-by":"crossref","unstructured":"A. Wang, M. Deng, and D. Wang, \u201cOperator-based robust control design for a human arm-like manipulator with time-varying delay measurements,\u201d Int. J. of Control, Automation, and Systems, Vol.11, No.6, pp. 1112-1121, 2013.","DOI":"10.1007\/s12555-012-9405-9"},{"key":"key-10.20965\/jrm.2015.p0049-32","doi-asserted-by":"crossref","unstructured":"A. Banos, \u201cStabilization of nonlinear systems based on a generalized Bezout identity,\u201d Automatica, Vol.32, No.4, pp. 591-595, 1996.","DOI":"10.1016\/0005-1098(95)00164-6"},{"key":"key-10.20965\/jrm.2015.p0049-33","doi-asserted-by":"crossref","unstructured":"M. Deng, A. Inoue, and K. Ishikawa, \u201cOperator-based nonlinear feedback control design using robust right coprime factorization,\u201d IEEE Trans. on Automatic Control, Vol.51, No.4, pp. 645-648, 2006.","DOI":"10.1109\/TAC.2006.872758"},{"key":"key-10.20965\/jrm.2015.p0049-34","doi-asserted-by":"crossref","unstructured":"N. Bu and M. Deng, \u201cSystem design for nonlinear plants using operator-based robust right coprime factorization and isomorphism,\u201d IEEE Trans. on Automatic Control, Vol.56, No.4, pp. 952-957, 2011.","DOI":"10.1109\/TAC.2011.2108370"},{"key":"key-10.20965\/jrm.2015.p0049-35","doi-asserted-by":"crossref","unstructured":"M. Deng, S. Bi, and A. Inoue, \u201cRobust nonlinear control and tracking design for multi-input multi-output nonlinear perturbed plants,\u201d IET Control Theory & Applications, Vol.3, No.9, pp. 1237-1248, 2009.","DOI":"10.1049\/iet-cta.2008.0218"},{"key":"key-10.20965\/jrm.2015.p0049-36","unstructured":"T. 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