{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:57:11Z","timestamp":1760241431284,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2018,2,16]],"date-time":"2018-02-16T00:00:00Z","timestamp":1518739200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Research Found for the Doctoral Program of Higher Education of China","award":["20124307110006"],"award-info":[{"award-number":["20124307110006"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The ring laser gyro (RLG) dither axis will bend and exhibit errors due to the specific forces acting on the instrument, which are known as g-sensitive misalignments of the gyros. The g-sensitive misalignments of the RLG triad will cause severe attitude error in vibration or maneuver environments where large-amplitude specific forces and angular rates coexist. However, g-sensitive misalignments are usually ignored when calibrating the strapdown inertial navigation system (SINS). This paper proposes a novel method to calibrate the g-sensitive misalignments of an RLG triad in linear vibration environments. With the SINS is attached to a linear vibration bench through outer rubber dampers, rocking of the SINS can occur when the linear vibration is performed on the SINS. Therefore, linear vibration environments can be created to simulate the harsh environment during aircraft flight. By analyzing the mathematical model of g-sensitive misalignments, the relationship between attitude errors and specific forces as well as angular rates is established, whereby a calibration scheme with approximately optimal observations is designed. Vibration experiments are conducted to calibrate g-sensitive misalignments of the RLG triad. Vibration tests also show that SINS velocity error decreases significantly after g-sensitive misalignments compensation.<\/jats:p>","DOI":"10.3390\/s18020601","type":"journal-article","created":{"date-parts":[[2018,2,20]],"date-time":"2018-02-20T03:54:22Z","timestamp":1519098862000},"page":"601","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":11,"title":["Ring Laser Gyro G-Sensitive Misalignment Calibration in Linear Vibration Environments"],"prefix":"10.3390","volume":"18","author":[{"given":"Lin","family":"Wang","sequence":"first","affiliation":[{"name":"National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wenqi","family":"Wu","sequence":"additional","affiliation":[{"name":"National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Geng","family":"Li","sequence":"additional","affiliation":[{"name":"National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xianfei","family":"Pan","sequence":"additional","affiliation":[{"name":"National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ruihang","family":"Yu","sequence":"additional","affiliation":[{"name":"National University of Defense Technology, Changsha 410073, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2018,2,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Yang, H., Li, W., Luo, T., Luo, C., Liang, H., Zhang, H., and Gu, Y. (2017). Research on the Strategy of Motion Constrained-aided ZUPT for the SINS Positioning System of a Shearer. Micromachines, 8.","DOI":"10.3390\/mi8110340"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"6239","DOI":"10.1109\/JSEN.2016.2581200","article-title":"Systematic Error Elimination Using Additive Measurements and Combination of Two Low Cost IMSs","volume":"16","author":"Kopacik","year":"2016","journal-title":"IEEE Sens. J."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Xu, X., Xu, X., Zhang, T., Li, Y., and Tong, J. (2017). A Kalman Filter for SINS Self-alignment Based on Vector Observation. Sensors, 17.","DOI":"10.3390\/s17020264"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Petritoli, E., Giagnacovo, T., and Leccese, F. (2014, January 29\u201330). Lightweight GNSS\/IRS Integrated Navigation System for UAV Vehicles. Proceedings of the IEEE International Workshop on Metrology for Aerospace, Benevento, Italy.","DOI":"10.1109\/MetroAeroSpace.2014.6865894"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Zhang, T., Ban, Y., Niu, X., Guo, W., and Liu, J. (2017). Improving the Design of MEMS INS-Aided PLLs for GNSS Carrier Phase Measurement Under High Dynamics. Micromachines, 8.","DOI":"10.3390\/mi8050135"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"211","DOI":"10.2514\/2.4026","article-title":"Characterization of Ring Laser Gyro Performance Using the Allan Variance Method","volume":"20","author":"Ng","year":"1997","journal-title":"J. Guid. Control Dyn."},{"key":"ref_7","unstructured":"Bueschelberger, H., Handrich, E., and Malthan, H. (1987, January 22\u201323). Laser Gyros in System Application with Rate-bias Technique. Proceedings of the Symposium on Gyro Technology, Stuttgart, Germany."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"16003","DOI":"10.3390\/s140916003","article-title":"Observability Analysis of a MEMS INS\/GPS Integration System with Gyroscope G-Sensitivity Errors","volume":"14","author":"Fan","year":"2014","journal-title":"Sensors"},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"352","DOI":"10.1017\/S0373463317000625","article-title":"Offline Calibration for MEMS Gyroscope G-sensitivity Error Coefficients Based on the Newton Iteration and Least Square Methods","volume":"71","author":"Xing","year":"2018","journal-title":"J. Navig."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"3333","DOI":"10.1109\/TIM.2013.2272869","article-title":"Integrated Calibration Method for Dithered RLG POS Using a Hybrid Analytic\/Kalman Filter Approach","volume":"62","author":"Li","year":"2013","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"115009","DOI":"10.1088\/0957-0233\/27\/11\/115009","article-title":"A Self-calibration Method for Tri-axis Rotational Inertial Navigation System","volume":"27","author":"Gao","year":"2016","journal-title":"Meas. Sci. Technol."},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"305","DOI":"10.3233\/JAE-140008","article-title":"Parametric Design of Mechanical Dither with Bimorph Piezoelectric Actuator for Ring Laser Gyroscope","volume":"47","author":"Yu","year":"2015","journal-title":"Int. J. Appl. Electromagn. Mech."},{"key":"ref_13","unstructured":"Lahham, J.I., Wigent, D.J., and Coleman, A.L. (2000, January 13\u201316). Tuned Support Structure for Structure-Borne Noise Reduction of Inertial Navigator with Dithered Ring Laser Gyros (RLG). Proceedings of the IEEE Position Location and Navigation Symposium, San Diego, CA, USA."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"156","DOI":"10.1134\/S2075108713030085","article-title":"Laser SINS for Cyclone-4 Launch Vehicle","volume":"4","author":"Zlatkin","year":"2013","journal-title":"Gyroscopy Navig."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/j.sna.2015.05.002","article-title":"An Eight-position Self-calibration Method for a Dual-axis Rotational Inertial Navigation System","volume":"232","author":"Zheng","year":"2015","journal-title":"Sens. Actuators A Phys."},{"key":"ref_16","doi-asserted-by":"crossref","unstructured":"Cai, Q., Yang, G., Song, N., and Liu, Y. (2016). Systematic Calibration for Ultra-High Accuracy Inertial Measurement Units. Sensors, 16.","DOI":"10.3390\/s16060940"},{"key":"ref_17","first-page":"536","article-title":"Estimation Technique of Fixed Sensor Errors for SDINS Calibration","volume":"2","author":"Lee","year":"2004","journal-title":"Int. J. Control Autom."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"425","DOI":"10.1016\/j.sna.2006.04.029","article-title":"Drift Error Analysis Caused by RLG Dither Axis Bending","volume":"133","author":"Kim","year":"2007","journal-title":"Sens. Actuators A Phys."},{"key":"ref_19","unstructured":"Diesel, J. (1987, January 6\u20138). Calibration of a Ring Laser Gyro Inertial Navigation System. Proceedings of the 13th Biennial Guidance Test Symposium, Otero County, NM, USA."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"8157","DOI":"10.3390\/s120608157","article-title":"Improved Iterative Calibration for Triaxial Accelerometers Based on the Optimal Observation","volume":"12","author":"Yang","year":"2012","journal-title":"Sensors"},{"key":"ref_21","unstructured":"Schmidt, G.T. (2011). Inertial Sensor Technology Trends, NATO Research and Technology Organization."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/2\/601\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T14:55:21Z","timestamp":1760194521000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/18\/2\/601"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,2,16]]},"references-count":21,"journal-issue":{"issue":"2","published-online":{"date-parts":[[2018,2]]}},"alternative-id":["s18020601"],"URL":"https:\/\/doi.org\/10.3390\/s18020601","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2018,2,16]]}}}