{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,22]],"date-time":"2025-03-22T10:19:18Z","timestamp":1742638758853,"version":"3.38.0"},"reference-count":41,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2016,11,24]],"date-time":"2016-11-24T00:00:00Z","timestamp":1479945600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"funder":[{"name":"Fundamental Research Funds for the Central Universities in China","award":["2015XKMS025"]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51575511"],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Transactions of the Institute of Measurement and Control"],"published-print":{"date-parts":[[2018,2]]},"abstract":" A redundant electro-hydraulic shaking table (REST) of six degrees-of-freedom (6 DOFs) with eight hydraulic actuators is an essential experimental tool in many industrial applications for real-time simulation of actual vibrations, such as structural vibration, earthquake simulation and fatigue testing. In order to obtain a high-fidelity acceleration waveform on the REST, a feed-forward inverse model (FFIM) controller with a modelling error compensator is proposed in this study. A recursive extended least-squares algorithm is employed to identify an acceleration closed-loop transfer function of the REST. A zero phase error compensation technology is employed to guarantee stability of the designed FFIM because the identified acceleration closed-loop transfer function is a typical non-minimum phase system and its direct inverse transfer function is unstable. The modelling error compensator is designed to compensate for the modelling error between the identified transfer function and the actual experimental REST, which deteriorates the acceleration waveform replication accuracy of the REST. A 6 DOF REST experimental system was used to verify the proposed controller. Experimental results demonstrated that the proposed controller gave satisfactory acceleration tracking performances on the REST. <\/jats:p>","DOI":"10.1177\/0142331216675671","type":"journal-article","created":{"date-parts":[[2016,11,22]],"date-time":"2016-11-22T03:10:26Z","timestamp":1479784226000},"page":"968-986","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":15,"title":["Acceleration waveform replication on six-degree-of-freedom redundant electro-hydraulic shaking tables using an inverse model controller with a modelling error"],"prefix":"10.1177","volume":"40","author":[{"given":"Gang","family":"Shen","sequence":"first","affiliation":[{"name":"Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, China"},{"name":"School of Mechatronic Engineering, China University of Mining and Technology, China"}]},{"given":"Zhen-Cai","family":"Zhu","sequence":"additional","affiliation":[{"name":"Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, China"},{"name":"School of Mechatronic Engineering, China University of Mining and Technology, China"}]},{"given":"Xiang","family":"Li","sequence":"additional","affiliation":[{"name":"Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, China"},{"name":"School of Mechatronic Engineering, China University of Mining and Technology, China"}]},{"given":"Qing-Guo","family":"Wang","sequence":"additional","affiliation":[{"name":"Institute for Intelligent Systems, University of Johannesburg, South Africa"}]},{"given":"Ge","family":"Li","sequence":"additional","affiliation":[{"name":"Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, China"},{"name":"School of Mechatronic Engineering, China University of Mining and Technology, China"}]},{"given":"Yu","family":"Tang","sequence":"additional","affiliation":[{"name":"Jiangsu Key Laboratory of Mine Mechanical and Electrical Equipment, China University of Mining and Technology, China"},{"name":"School of Mechatronic Engineering, China University of Mining and Technology, China"}]}],"member":"179","published-online":{"date-parts":[[2016,11,24]]},"reference":[{"key":"bibr1-0142331216675671","doi-asserted-by":"publisher","DOI":"10.12989\/sss.2014.13.1.137"},{"key":"bibr2-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1016\/j.mechatronics.2011.12.006"},{"key":"bibr3-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1088\/0964-1726\/19\/2\/025017"},{"key":"bibr4-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1016\/j.soildyn.2010.06.014"},{"key":"bibr5-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.904"},{"key":"bibr6-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1006\/mssp.2000.1333"},{"issue":"16","key":"bibr7-0142331216675671","first-page":"329","volume":"21","author":"Guan GF","year":"2014","journal-title":"Journal of Vibration and Control"},{"key":"bibr8-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1177\/1077546314563344"},{"key":"bibr9-0142331216675671","doi-asserted-by":"publisher","DOI":"10.12989\/eas.2014.6.5.539"},{"key":"bibr10-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1177\/1077546315596661"},{"key":"bibr11-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1002\/eqe.907"},{"key":"bibr12-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1016\/S0967-0661(02)00103-X"},{"key":"bibr13-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1049\/ip-cta:20000166"},{"key":"bibr14-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1109\/TIE.2009.2022519"},{"key":"bibr15-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1007\/s12239-008-0005-x"},{"key":"bibr16-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1016\/j.jsv.2006.12.006"},{"key":"bibr17-0142331216675671","doi-asserted-by":"publisher","DOI":"10.1061\/(ASCE)ST.1943-541X.0000137"},{"key":"bibr18-0142331216675671","unstructured":"MTS Systems Corporation (2011) Aerospace testing solutions. 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