{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,12]],"date-time":"2026-05-12T00:20:56Z","timestamp":1778545256256,"version":"3.51.4"},"reference-count":31,"publisher":"MDPI AG","issue":"22","license":[{"start":{"date-parts":[[2020,11,12]],"date-time":"2020-11-12T00:00:00Z","timestamp":1605139200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"Chinese National Science Foundation","doi-asserted-by":"publisher","award":["51775447"],"award-info":[{"award-number":["51775447"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>In this paper, a first-order closed-loop mechatronics model of a micro-electromechanical system (MEMS) disk resonator gyroscope (DRG) with a configurable ASIC is established for closed-loop design and performance analysis. There are usually some nonlinear modules in the gyroscope mechatronics model, and it is difficult to design the closed-loop controllers using classical automatic control theory. An order-reduction method (ORM) based on the Laplace transform and inverse Laplace transform is proposed to linearize the nonlinear modules. The linearized model is proved to show good agreement with the original mechatronics model in terms of system response. The experimental verification was conducted to demonstrate the validation of this method.<\/jats:p>","DOI":"10.3390\/s20226455","type":"journal-article","created":{"date-parts":[[2020,11,12]],"date-time":"2020-11-12T10:00:32Z","timestamp":1605175232000},"page":"6455","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["First-Order Linear Mechatronics Model for Closed-Loop MEMS Disk Resonator Gyroscope"],"prefix":"10.3390","volume":"20","author":[{"given":"Hao","family":"Wang","sequence":"first","affiliation":[{"name":"MOE Key Laboratory of Micro and Nano Systems for Aerospace, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"given":"Xiupu","family":"Wang","sequence":"additional","affiliation":[{"name":"MOE Key Laboratory of Micro and Nano Systems for Aerospace, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2289-2076","authenticated-orcid":false,"given":"Jianbing","family":"Xie","sequence":"additional","affiliation":[{"name":"MOE Key Laboratory of Micro and Nano Systems for Aerospace, Northwestern Polytechnical University, Xi\u2019an 710072, China"}]}],"member":"1968","published-online":{"date-parts":[[2020,11,12]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Challoner, A.D., Ge, H.H., and Liu, J.Y. 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