{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T02:53:25Z","timestamp":1769741605678,"version":"3.49.0"},"reference-count":34,"publisher":"MDPI AG","issue":"15","license":[{"start":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T00:00:00Z","timestamp":1564617600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Shandong Provincial Natural Science Foundation, China","award":["ZR2018BEE020"],"award-info":[{"award-number":["ZR2018BEE020"]}]},{"name":"A Project of Shandong Province Higher Educational Science and Technology Program","award":["J18KA018"],"award-info":[{"award-number":["J18KA018"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51704174"],"award-info":[{"award-number":["51704174"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Taishan Scholar Program of Shandong","award":["ts201712054"],"award-info":[{"award-number":["ts201712054"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The maglev vibration isolation system exhibits excellent micro-vibration isolation performance (0.01 Hz to 100 Hz band) in the space environment. However, a collision between the base and the floating platform may occur in an ultra-low frequency range (\u22640.01 Hz). To avoid collision, the relative position and attitude between the base and the floating platform needs to be accurately tracked and controlled. In this study, a novel measurement method with four groups of two-dimensional position-sensitive detectors equipped with four laser light sources was proposed. A high-precision relative position and attitude measurement model was established based on the geometric relationship of space coordinates. A proportional-differential (PD) fixed-point control algorithm was adopted to realize tracking control. The control performance of the system was evaluated through simulation. Experiments were also carried out to verify the stability of the system and the precision of the control algorithm. A maglev vibration isolation system prototype was constructed and a test system was established. The proposed relative position and attitude measurement model was verified and the six degrees of freedom relative position and attitude response of the system was tested. Based on the measurement model, the tracking control of the system was proven to have high precision.<\/jats:p>","DOI":"10.3390\/s19153375","type":"journal-article","created":{"date-parts":[[2019,8,1]],"date-time":"2019-08-01T11:39:37Z","timestamp":1564659577000},"page":"3375","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":20,"title":["Tracking Control of a Maglev Vibration Isolation System Based on a High-Precision Relative Position and Attitude Model"],"prefix":"10.3390","volume":"19","author":[{"given":"Qianqian","family":"Wu","sequence":"first","affiliation":[{"name":"School of Mechanical and Automotive Engineering, Qingdao University of Technology, Qingdao 266520, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Bilong","family":"Liu","sequence":"additional","affiliation":[{"name":"School of Mechanical and Automotive Engineering, Qingdao University of Technology, Qingdao 266520, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ning","family":"Cui","sequence":"additional","affiliation":[{"name":"School of Mechanical and Automotive Engineering, Qingdao University of Technology, Qingdao 266520, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Sifang","family":"Zhao","sequence":"additional","affiliation":[{"name":"College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,8,1]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"794","DOI":"10.2514\/2.5114","article-title":"Spacecraft architecture for disturbance-free payload","volume":"26","author":"Pedreiro","year":"2003","journal-title":"J. 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