{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,26]],"date-time":"2026-06-26T14:07:54Z","timestamp":1782482874880,"version":"3.54.5"},"reference-count":15,"publisher":"SAGE Publications","issue":"5","license":[{"start":{"date-parts":[[2016,2,21]],"date-time":"2016-02-21T00:00:00Z","timestamp":1456012800000},"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":[[2016,5]]},"abstract":"<jats:p>Generally, optical methods for precision measurement have limitations when rotation of large angle (larger than 10\u00b0) and translation of large range occur simultaneously. To deal with the problem, an improved method based on spatial magnetic detection is proposed for planar 3-degree-of-freedom position measurement with large ranges in this article. The position-solving algorithm of the method calculates position by decoupling 3 degrees of freedom with the magnetic flux densities of the inherent magnetic field of the permanent-magnet synchronous planar motor detected by the proposed Hall-sensor array. On the basis of previous work, the calculation approach of decoupling is improved; as a result, the calculations for solving position are simplified. The characteristics of the sensor topology are exploited further, and a new calculation approach of decoupling is introduced to compensate the original one, achieving better robustness to noise. The ability of solving 3-degree-of-freedom position and the robustness to noise and magnetic-field imperfections are evaluated by simulation; the results show that the accuracies of translational and rotational motions are 10\u2009\u00b5m scale and 0.1\u00b0 scale in the case with noise of 0.01% of signal amplitude, while they are 100\u2009\u00b5m scale and 10\u00b0 scale in the case with the magnetic-field imperfections caused by parameter deviations. Comparison experiments with commercial sensors are conducted on a self-developed testing platform to verify the feasibility of the method, and the results show that the method can achieve sensing a large rotational angle and a large translational range with a simple implementation.<\/jats:p>","DOI":"10.1177\/0959651816628730","type":"journal-article","created":{"date-parts":[[2016,2,22]],"date-time":"2016-02-22T21:04:20Z","timestamp":1456175060000},"page":"467-479","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":5,"title":["A position measurement method for 3-degree-of-freedom motion based on magnetic detection"],"prefix":"10.1177","volume":"230","author":[{"given":"Longmin","family":"Chen","sequence":"first","affiliation":[{"name":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Jinchun","family":"Hu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yu","family":"Zhu","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Rong","family":"Cheng","sequence":"additional","affiliation":[{"name":"State Key Laboratory of Tribology, Department of Mechanical Engineering, Tsinghua University, Beijing, China"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"179","published-online":{"date-parts":[[2016,2,21]]},"reference":[{"key":"bibr1-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2006.886051"},{"key":"bibr2-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1016\/j.precisioneng.2003.08.002"},{"key":"bibr3-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1177\/0959651811432234"},{"key":"bibr4-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1177\/0959651812453226"},{"key":"bibr5-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1016\/j.precisioneng.2007.02.001"},{"key":"bibr6-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1016\/j.precisioneng.2013.01.006"},{"key":"bibr7-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1016\/j.precisioneng.2009.05.008"},{"key":"bibr8-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1177\/0959651811414504"},{"key":"bibr9-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1109\/TIM.2013.2270919"},{"key":"bibr10-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2013.2273061"},{"key":"bibr11-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1109\/TMAG.2014.2320693"},{"key":"bibr12-0959651816628730","doi-asserted-by":"publisher","DOI":"10.1115\/1.2363201"},{"key":"bibr13-0959651816628730","doi-asserted-by":"publisher","DOI":"10.3901\/JME.2010.24.040"},{"issue":"6","key":"bibr14-0959651816628730","first-page":"982","volume":"15","author":"Yu H","year":"2010","journal-title":"IEEE\/ASME T Mech"},{"key":"bibr15-0959651816628730","first-page":"776","volume-title":"IEEE\/ASME international conference on advanced intelligent mechatronics (AIM)","author":"Chen L"}],"container-title":["Proceedings of the Institution of Mechanical Engineers, Part I: Journal of Systems and Control Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0959651816628730","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/full-xml\/10.1177\/0959651816628730","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/journals.sagepub.com\/doi\/pdf\/10.1177\/0959651816628730","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,5,1]],"date-time":"2026-05-01T22:33:43Z","timestamp":1777674823000},"score":1,"resource":{"primary":{"URL":"https:\/\/journals.sagepub.com\/doi\/10.1177\/0959651816628730"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,2,21]]},"references-count":15,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2016,5]]}},"alternative-id":["10.1177\/0959651816628730"],"URL":"https:\/\/doi.org\/10.1177\/0959651816628730","relation":{},"ISSN":["0959-6518","2041-3041"],"issn-type":[{"value":"0959-6518","type":"print"},{"value":"2041-3041","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,2,21]]}}}