{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,2]],"date-time":"2025-03-02T05:51:37Z","timestamp":1740894697869,"version":"3.38.0"},"reference-count":29,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2018,2,21]],"date-time":"2018-02-21T00:00:00Z","timestamp":1519171200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"published-print":{"date-parts":[[2018,4]]},"abstract":"<jats:p> A linear-motor-driven L-shaped arm experimental system is studied in this article. The arm with unknown load is driven by the motor and actuated by a piezoelectric actuator at the same time. This study aims to control the motor motion and the actuator\u2019s behavior simultaneously, resulting in less arm vibration. First, the arm vibration relating to the load and the linear motor is modeled by considering it as an Euler\u2013Bernoulli beam. Then, the control design for the arm and motor is proposed using the operator-based nonlinear control approach involving an on-line discrete wavelet transform. The operator-based right coprime factorization is used to ensure the system stable and robust. The discrete wavelet transform is utilized to remove the influences of some undesired disturbances and improve the operator-based control performance. In addition, the load mass is estimated using fast Fourier transform based on the discrete wavelet transform decomposed vibration signal. Finally, experiments are conducted comparing with the previous study, and the results show that the proposed control is effective to reduce the arm vibration in less time. <\/jats:p>","DOI":"10.1177\/0959651818757900","type":"journal-article","created":{"date-parts":[[2018,2,21]],"date-time":"2018-02-21T10:29:16Z","timestamp":1519208956000},"page":"453-463","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["Experimental study on operator-based robust nonlinear vibration control for an L-shaped arm with unknown load"],"prefix":"10.1177","volume":"232","author":[{"given":"Yanfeng","family":"Wu","sequence":"first","affiliation":[{"name":"College of Vehicle & Transportation Engineering, Henan University of Science and Technology, Luoyang, China"},{"name":"Graduate School of Engineering, Tokyo University of Agriculture and Technology, Tokyo, Japan"}]},{"given":"Mingcong","family":"Deng","sequence":"additional","affiliation":[{"name":"Graduate School of Engineering, Tokyo University of Agriculture and Technology, Tokyo, Japan"}]}],"member":"179","published-online":{"date-parts":[[2018,2,21]]},"reference":[{"key":"bibr1-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1016\/j.ymssp.2017.03.015"},{"key":"bibr2-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1504\/IJMIC.2012.046699"},{"issue":"4","key":"bibr3-0959651818757900","first-page":"259","volume":"2","author":"Waghulde KB","year":"2010","journal-title":"Int J Eng Tech"},{"key":"bibr4-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1111\/j.1934-6093.2003.tb00175.x"},{"key":"bibr5-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1177\/0959651812447666"},{"key":"bibr6-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2005.860260"},{"key":"bibr7-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2010.2053737"},{"key":"bibr8-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1080\/00207720903151318"},{"key":"bibr9-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1109\/TCSI.2016.2605685"},{"key":"bibr10-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2017.2724023"},{"key":"bibr11-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1002\/oca.2093"},{"key":"bibr12-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1109\/TFUZZ.2016.2566810"},{"key":"bibr13-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1109\/TAC.2006.872758"},{"key":"bibr14-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1049\/iet-cta.2010.0232"},{"key":"bibr15-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1177\/0959651810396270"},{"key":"bibr16-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1002\/9781118819814"},{"key":"bibr17-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1504\/IJAMECHS.2008.020840"},{"key":"bibr18-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1177\/0142331215592063"},{"key":"bibr19-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1007\/s12555-016-0320-3"},{"key":"bibr20-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1109\/TMECH.2017.2734696"},{"key":"bibr21-0959651818757900","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780195094237.003.0002","volume-title":"Wavelets and filter banks","author":"Strang G","year":"1996"},{"key":"bibr22-0959651818757900","doi-asserted-by":"publisher","DOI":"10.1111\/1467-8667.t01-1-00312"},{"volume-title":"Wavelets: theory and applications for manufacturing","year":"2010","author":"Gao R. 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