{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,12,17]],"date-time":"2025-12-17T12:55:17Z","timestamp":1765976117540,"version":"build-2065373602"},"reference-count":16,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2016,9,30]],"date-time":"2016-09-30T00:00:00Z","timestamp":1475193600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"the National Science Foundation of China","award":["No.61227003"],"award-info":[{"award-number":["No.61227003"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Aiming to solve the problem of the limited measuring range for angular motion parameters of high-speed rotating projectiles in the field of guidance and control, a self-adaptive measurement method for angular motion parameters based on the electromagnetic induction principle is proposed. First, a framework with type bent \u201cI-shape\u201d is used to design triaxial coils in a mutually orthogonal way. Under the condition of high rotational speed of a projectile, the induction signal of the projectile moving across a geomagnetic field is acquired by using coils. Second, the frequency of the pulse signal is adjusted self-adaptively. Angular velocity and angular displacement are calculated in the form of periodic pulse counting and pulse accumulation, respectively. Finally, on the basis of that principle prototype of the sensor is researched and developed, performance of measuring angular motion parameters are tested on the sensor by semi-physical and physical simulation experiments, respectively. Experimental results demonstrate that the sensor has a wide measuring range of angular velocity from 1 rps to 100 rps with a measurement error of less than 0.3%, and the angular displacement measurement error is lower than 0.2\u00b0. The proposed method satisfies measurement requirements for high-speed rotating projectiles with an extremely high dynamic range of rotational speed and high precision, and has definite value to engineering applications in the fields of attitude determination and geomagnetic navigation.<\/jats:p>","DOI":"10.3390\/s16101625","type":"journal-article","created":{"date-parts":[[2016,9,30]],"date-time":"2016-09-30T10:06:56Z","timestamp":1475230016000},"page":"1625","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":8,"title":["A Missile-Borne Angular Velocity Sensor Based on Triaxial Electromagnetic Induction Coils"],"prefix":"10.3390","volume":"16","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2282-9624","authenticated-orcid":false,"given":"Jian","family":"Li","sequence":"first","affiliation":[{"name":"Institute of Signal Capturing &amp; Processing Technology, Key Laboratory of Shanxi Province, North University of China, Taiyuan 030051, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dan","family":"Wu","sequence":"additional","affiliation":[{"name":"Institute of Signal Capturing &amp; Processing Technology, Key Laboratory of Shanxi Province, North University of China, Taiyuan 030051, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yan","family":"Han","sequence":"additional","affiliation":[{"name":"Institute of Signal Capturing &amp; Processing Technology, Key Laboratory of Shanxi Province, North University of China, Taiyuan 030051, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2016,9,30]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"198","DOI":"10.1016\/j.phpro.2015.09.157","article-title":"Investigation of microopto-eletromechanical angular velocity and acceleration transducers based on optical tunneling effect","volume":"73","author":"Busurin","year":"2015","journal-title":"Phys. Procedia"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1016\/j.ymssp.2015.03.025","article-title":"A high-performance angular speed measurement method based on adaptive hysteresis switching techniques","volume":"64\u201365","author":"Huang","year":"2015","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"239","DOI":"10.1016\/j.sna.2005.12.037","article-title":"Accurate measurement of angle position at high angular velocities","volume":"129","author":"Payne","year":"2006","journal-title":"Sens. Actuators A Phys."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"344","DOI":"10.1016\/j.ymssp.2014.01.013","article-title":"Angular (pitch and yaw) vibration measurements directy from rotors using laser vibrometry","volume":"46","author":"Halkon","year":"2014","journal-title":"Mech. Syst. Signal Process."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"9","DOI":"10.1016\/j.epsr.2015.11.003","article-title":"Out-of-step protection of generator using analysis of angular velocity and acceleration data measured from magnetic flux","volume":"132","author":"Yaghobi","year":"2016","journal-title":"Electr. Power Syst. Res."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"054103","DOI":"10.1117\/1.OE.54.5.054103","article-title":"Noncontact measurement of angular position and angular movement by means of laser goniometer","volume":"54","author":"Filatov","year":"2015","journal-title":"Opt. Eng."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"9315","DOI":"10.1364\/AO.54.009315","article-title":"Application of point diffraction interferometry for measuring angular displacement to a sensitivity of 0.01 arcsec","volume":"54","author":"Gavrilin","year":"2015","journal-title":"Appl. Opt."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"939","DOI":"10.1109\/JSEN.2013.2295518","article-title":"Angular Displacement and Velocity Sensors Based on Electric-LC (ELC) Loaded Microstrip Lines","volume":"14","author":"Naqui","year":"2014","journal-title":"IEEE Sens. J."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"504","DOI":"10.1109\/TIE.2013.2247013","article-title":"Improved Angular Displacement Estimation Based on Hall-Effect Sensors for Driving a Brushless Permanent-Magnet Motor","volume":"61","author":"Yang","year":"2014","journal-title":"IEEE Trans. Ind. Electron."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"8436","DOI":"10.1364\/AO.53.008436","article-title":"Geometrical parameter analysis of a high-sensitivity fiber optic angular displacement sensor","volume":"53","author":"Sakamoto","year":"2014","journal-title":"Appl. Opt."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"012007","DOI":"10.1088\/1742-6596\/648\/1\/012007","article-title":"Uncertainty of angular displacement measurement with a MEMS gyroscope integrated in a smartphone","volume":"648","author":"Dolci","year":"2015","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"3947","DOI":"10.1109\/JSEN.2015.2404349","article-title":"An Inductive Angular Displacement Sensor Based on Planar Coil and Contrate Rotor","volume":"15","author":"Tang","year":"2015","journal-title":"IEEE Sens. J."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"2216","DOI":"10.1016\/j.asr.2013.01.015","article-title":"Investigations of an integrated angular velocity measurement and attitude control system for spacecraft using magnetically suspended double-gimbal CMGs","volume":"51","author":"Zheng","year":"2013","journal-title":"Adv. Space Res."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"282","DOI":"10.1016\/j.measurement.2014.12.026","article-title":"Development of a capacitive angular velocity sensor for the alarm and trip applications","volume":"63","author":"Azimloo","year":"2015","journal-title":"Measurement"},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"116","DOI":"10.1016\/j.sna.2015.02.034","article-title":"Error analysis of theoretical model of angular velocity sensor based on magnetohydrodynamics at low frequency","volume":"226","author":"Xu","year":"2015","journal-title":"Sens. Actuators A Phys."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1331","DOI":"10.1016\/j.asr.2015.07.005","article-title":"Fast two-position initial alignment for SINS using velocity plus angular rate measurements","volume":"56","author":"Chang","year":"2015","journal-title":"Adv. Space Res."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/10\/1625\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T19:32:12Z","timestamp":1760211132000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/16\/10\/1625"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,9,30]]},"references-count":16,"journal-issue":{"issue":"10","published-online":{"date-parts":[[2016,10]]}},"alternative-id":["s16101625"],"URL":"https:\/\/doi.org\/10.3390\/s16101625","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2016,9,30]]}}}