{"title":"全角MEMS陀螺仪刚度非线性的在线模式匹配方法","authors":"Sheng Yu;Ying Ouyang;Mingze Gao;Jun Feng;Yuchen Wang;Jiangkun Sun;Yongmeng Zhang;Dingbang Xiao;Xuezhong Wu","doi":"10.1109/JSEN.2025.3548851","DOIUrl":null,"url":null,"abstract":"In the whole-angle MEMS gyroscopes, the aniso-stiffness induces a mismatch of the resonant modes and engenders undesired frequency split. The stiffness nonlinearity caused by electrostatic actuation will exacerbate such a mismatch. The model of the stiffness error established in this article demonstrates that the electrostatic stiffness nonlinearity brings an extra 4th harmonic component to the frequency and quadrature control force for the whole-angle MEMS gyroscopes. To improve the performance of the gyroscope, an online mode-matching method based on virtual rotation is proposed to mitigate the impact of both aniso-stiffness and stiffness nonlinearities. Experimental results show that with the self-calibration method, the gyroscope can achieve mode matching with the frequency split of below 1 mHz across the full temperature range from <inline-formula> <tex-math>$- 40~^{\\circ }$ </tex-math></inline-formula> C to <inline-formula> <tex-math>$60~^{\\circ }$ </tex-math></inline-formula> C.","PeriodicalId":447,"journal":{"name":"IEEE Sensors Journal","volume":"25 9","pages":"14740-14748"},"PeriodicalIF":4.3000,"publicationDate":"2025-03-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Online Mode-Matching Method Countering for Stiffness Nonlinearity in Whole-Angle MEMS Gyroscope\",\"authors\":\"Sheng Yu;Ying Ouyang;Mingze Gao;Jun Feng;Yuchen Wang;Jiangkun Sun;Yongmeng Zhang;Dingbang Xiao;Xuezhong Wu\",\"doi\":\"10.1109/JSEN.2025.3548851\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In the whole-angle MEMS gyroscopes, the aniso-stiffness induces a mismatch of the resonant modes and engenders undesired frequency split. The stiffness nonlinearity caused by electrostatic actuation will exacerbate such a mismatch. The model of the stiffness error established in this article demonstrates that the electrostatic stiffness nonlinearity brings an extra 4th harmonic component to the frequency and quadrature control force for the whole-angle MEMS gyroscopes. To improve the performance of the gyroscope, an online mode-matching method based on virtual rotation is proposed to mitigate the impact of both aniso-stiffness and stiffness nonlinearities. Experimental results show that with the self-calibration method, the gyroscope can achieve mode matching with the frequency split of below 1 mHz across the full temperature range from <inline-formula> <tex-math>$- 40~^{\\\\circ }$ </tex-math></inline-formula> C to <inline-formula> <tex-math>$60~^{\\\\circ }$ </tex-math></inline-formula> C.\",\"PeriodicalId\":447,\"journal\":{\"name\":\"IEEE Sensors Journal\",\"volume\":\"25 9\",\"pages\":\"14740-14748\"},\"PeriodicalIF\":4.3000,\"publicationDate\":\"2025-03-26\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"IEEE Sensors Journal\",\"FirstCategoryId\":\"103\",\"ListUrlMain\":\"https://ieeexplore.ieee.org/document/10938217/\",\"RegionNum\":2,\"RegionCategory\":\"综合性期刊\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"ENGINEERING, ELECTRICAL & ELECTRONIC\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Sensors Journal","FirstCategoryId":"103","ListUrlMain":"https://ieeexplore.ieee.org/document/10938217/","RegionNum":2,"RegionCategory":"综合性期刊","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
Online Mode-Matching Method Countering for Stiffness Nonlinearity in Whole-Angle MEMS Gyroscope
In the whole-angle MEMS gyroscopes, the aniso-stiffness induces a mismatch of the resonant modes and engenders undesired frequency split. The stiffness nonlinearity caused by electrostatic actuation will exacerbate such a mismatch. The model of the stiffness error established in this article demonstrates that the electrostatic stiffness nonlinearity brings an extra 4th harmonic component to the frequency and quadrature control force for the whole-angle MEMS gyroscopes. To improve the performance of the gyroscope, an online mode-matching method based on virtual rotation is proposed to mitigate the impact of both aniso-stiffness and stiffness nonlinearities. Experimental results show that with the self-calibration method, the gyroscope can achieve mode matching with the frequency split of below 1 mHz across the full temperature range from $- 40~^{\circ }$ C to $60~^{\circ }$ C.
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