{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:13:21Z","timestamp":1760242401692,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"6","license":[{"start":{"date-parts":[[2017,6,17]],"date-time":"2017-06-17T00:00:00Z","timestamp":1497657600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51375088"],"award-info":[{"award-number":["51375088"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Foundation of Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology of Ministry of Education of China","award":["201403"],"award-info":[{"award-number":["201403"]}]},{"DOI":"10.13039\/501100012226","name":"Fundamental Research Funds for the Central Universities","doi-asserted-by":"publisher","award":["2242015R30031"],"award-info":[{"award-number":["2242015R30031"]}],"id":[{"id":"10.13039\/501100012226","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Key Laboratory fund of Ministry of public security based on large data structure","award":["2015DSJSYS002"],"award-info":[{"award-number":["2015DSJSYS002"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Initial alignment of the strapdown inertial navigation system (SINS) is intended to determine the initial attitude matrix in a short time with certain accuracy. The alignment accuracy of the quaternion filter algorithm is remarkable, but the convergence rate is slow. To solve this problem, this paper proposes an improved quaternion filter algorithm for faster initial alignment based on the error model of the quaternion filter algorithm.  The improved quaternion filter algorithm constructs the K matrix based on the principle of optimal quaternion algorithm, and rebuilds the measurement model by containing acceleration and velocity errors to make the convergence rate faster. A doppler velocity log (DVL) provides the reference velocity for the improved quaternion filter alignment algorithm. In order to demonstrate the performance of the improved quaternion filter algorithm in the field, a turntable experiment and a vehicle test are carried out. The results of the experiments show that the convergence rate of the proposed improved quaternion filter is faster than that of the tradition quaternion filter algorithm. In addition, the improved quaternion filter algorithm also demonstrates advantages in terms of correctness, effectiveness, and practicability.<\/jats:p>","DOI":"10.3390\/s17061424","type":"journal-article","created":{"date-parts":[[2017,6,19]],"date-time":"2017-06-19T10:29:26Z","timestamp":1497868166000},"page":"1424","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":10,"title":["Coarse Alignment Technology on Moving base for SINS Based on the Improved Quaternion Filter Algorithm"],"prefix":"10.3390","volume":"17","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-9955-3905","authenticated-orcid":false,"given":"Tao","family":"Zhang","sequence":"first","affiliation":[{"name":"School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China"},{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology, Ministry of Education, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yongyun","family":"Zhu","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China"},{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology, Ministry of Education, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Feng","family":"Zhou","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China"},{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology, Ministry of Education, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yaxiong","family":"Yan","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China"},{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology, Ministry of Education, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jinwu","family":"Tong","sequence":"additional","affiliation":[{"name":"School of Instrument Science and Engineering, Southeast University, Nanjing 210096, China"},{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology, Ministry of Education, Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2017,6,17]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"2","DOI":"10.1088\/0957-0233\/27\/11\/115102","article-title":"Damping strapdown inertial navigation system based on a Kalman filter","volume":"27","author":"Zhao","year":"2016","journal-title":"Meas. Sci. Technol."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"1646","DOI":"10.1109\/JSEN.2010.2103555","article-title":"Inertial navigation aided by vision-based simultaneous localization and mapping","volume":"11","author":"Sazdovski","year":"2011","journal-title":"IEEE Sens. J."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"766","DOI":"10.1109\/JSEN.2016.2633428","article-title":"In-motion Initial Alignment for Odometer Aided Strapdown Inertial Navigation System based on Attitude Estimation","volume":"17","author":"Chang","year":"2016","journal-title":"IEEE Sens. J."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"21807","DOI":"10.3390\/s150921807","article-title":"Initial alignment of large azimuth misalignment angles in SINS based on adaptive UPF","volume":"15","author":"Sun","year":"2015","journal-title":"Sensors"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Xu, X., Xu, X.S., 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_6","doi-asserted-by":"crossref","first-page":"409","DOI":"10.1137\/1007077","article-title":"A least squares estimate of spacecraft attitude","volume":"7","author":"Whaba","year":"1965","journal-title":"SIAM Rev."},{"key":"ref_7","unstructured":"Gaiffe, T., Cottreau, Y., Faussot, N., Hardy, G., Simonpietri, P., and Arditty, H. (2002, January 23\u201326). Highly Compact Fiber Optic Gyrocompass for Applications at Depths up to 3000 Meters. Proceedings of the IEEE Conference Underwater Technolgy, Tokyo, Japan."},{"key":"ref_8","unstructured":"Gaiffe, T. (2002, January 10). From R&D Brassboards to Navigation Grade FOG-based INS: The Experience of Photonetics\/Ixsea. Proceedings of the 15th IEEE Conference Optical Fiber Sensors Conference Technical Digest, Portland, OR, USA."},{"key":"ref_9","unstructured":"Napolitano, F., Gaiffe, T., Cottreau, Y., and Loret, T. (2002, January 27\u201329). PHINS-the First High Performances Inertial Navigation System Based on Fiber Optic Gyroscopes. Proceedings of the 9th International Conference Integrated Navigation System, Saint Petersburg, Russia."},{"key":"ref_10","first-page":"1486","article-title":"SINS anti-rocking disturbance initial alignment based on frequency domain isolation operator","volume":"7","author":"Yan","year":"2011","journal-title":"J. Astronaut."},{"key":"ref_11","first-page":"32","article-title":"Shipborne sins in-movement F-QUEST initial alignment algorithm","volume":"26","author":"Li","year":"2014","journal-title":"J. Nav. Univ. Eng."},{"key":"ref_12","first-page":"724","article-title":"Alignment algorithm based on quaternion estimator for SINS on rocking base","volume":"22","author":"Gao","year":"2014","journal-title":"J. Chin. Inert. Technol."},{"key":"ref_13","first-page":"546","article-title":"SINS anti-interference self-alignment algorithm for the swaying base","volume":"29","author":"Wang","year":"2014","journal-title":"Control Decis."},{"key":"ref_14","unstructured":"Kong, X., Nebot, E.M., and Durrant-Whyte, H. (1999, January 10\u201315). Development of a nonlinear psi-angle model for large misalignment errors and its application in INS alignment and calibration. Proceedings of the 15th IEEE Conference Robotics and Automation, Detroit, MI, USA."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"648","DOI":"10.2514\/3.20887","article-title":"Unified approach to inertial navigation system error modeling","volume":"15","year":"1992","journal-title":"J. Guid. Cont. Dyn."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"1056","DOI":"10.1109\/7.165367","article-title":"Observability analysis of piece-wise constant system-part I: Theory","volume":"28","year":"1992","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_17","unstructured":"Xu, B. (2011). High-Precision Fiber-Gyroscope Inertial Navigation System Technique for Warship. [Ph.D. Dissertation, Harbin Engineering University]."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"1930","DOI":"10.1109\/TIM.2011.2113131","article-title":"Coarse alignment of a ship's strapdown inertial attitude reference system using velocity loci","volume":"60","author":"Silson","year":"2011","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_19","unstructured":"Wang, Q.Z., Fu, M.Y., and Xiao, X. (2012, January 25\u201327). On INS In-motion Alignment for Land Vehieles. Proceedings of the 31th Chinese Control. Conference, Hefei, China."},{"key":"ref_20","first-page":"1060","article-title":"On-the-move alignment for SINS based on odometer aiding","volume":"35","author":"Wang","year":"2013","journal-title":"Syst. Eng. Electron."},{"key":"ref_21","first-page":"162","article-title":"Initial alignment algorithm for SINS based on quaternion Kalman filter","volume":"2","author":"Zhou","year":"2012","journal-title":"J. Chin. Inert. Technol."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/6\/1424\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T18:39:29Z","timestamp":1760207969000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/17\/6\/1424"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,6,17]]},"references-count":21,"journal-issue":{"issue":"6","published-online":{"date-parts":[[2017,6]]}},"alternative-id":["s17061424"],"URL":"https:\/\/doi.org\/10.3390\/s17061424","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2017,6,17]]}}}