{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T04:54:01Z","timestamp":1777438441710,"version":"3.51.4"},"reference-count":19,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2015,8,31]],"date-time":"2015-08-31T00:00:00Z","timestamp":1440979200000},"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":["61473085, 51175082, 51375088, 61273056"],"award-info":[{"award-number":["61473085, 51175082, 51375088, 61273056"]}],"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, Excellent Young Teachers Program of Southeast University","award":["2015"],"award-info":[{"award-number":["2015"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The case of large azimuth misalignment angles in a strapdown inertial navigation system (SINS) is analyzed, and a method of using the adaptive UPF for the initial alignment is proposed. The filter is based on the idea of a strong tracking filter; through the introduction of the attenuation memory factor to effectively enhance the corrections of the current information residual error on the system, it reduces the influence on the system due to the system simplification, and the uncertainty of noise statistical properties to a certain extent; meanwhile, the UPF particle degradation phenomenon is better overcome. Finally, two kinds of non-linear filters, UPF and adaptive UPF, are adopted in the initial alignment of large azimuth misalignment angles in SINS, and the filtering effects of the two kinds of nonlinear filter on the initial alignment were compared by simulation and turntable experiments. The simulation and turntable experiment results show that the speed and precision of the initial alignment using adaptive UPF for a large azimuth misalignment angle in SINS under the circumstance that the statistical properties of the system noise are certain or not have been improved to some extent.<\/jats:p>","DOI":"10.3390\/s150921807","type":"journal-article","created":{"date-parts":[[2015,9,1]],"date-time":"2015-09-01T10:55:58Z","timestamp":1441104958000},"page":"21807-21823","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":31,"title":["Initial Alignment of Large Azimuth Misalignment Angles in SINS Based on Adaptive UPF"],"prefix":"10.3390","volume":"15","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1074-8202","authenticated-orcid":false,"given":"Jin","family":"Sun","sequence":"first","affiliation":[{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology,  Ministry of Education, School of Instrument Science and Engineering, Southeast University,  Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5165-0981","authenticated-orcid":false,"given":"Xiao-Su","family":"Xu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology,  Ministry of Education, School of Instrument Science and Engineering, Southeast University,  Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yi-Ting","family":"Liu","sequence":"additional","affiliation":[{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology,  Ministry of Education, School of Instrument Science and Engineering, Southeast University,  Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tao","family":"Zhang","sequence":"additional","affiliation":[{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology,  Ministry of Education, School of Instrument Science and Engineering, Southeast University,  Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Yao","family":"Li","sequence":"additional","affiliation":[{"name":"Key Laboratory of Micro-Inertial Instrument and Advanced Navigation Technology,  Ministry of Education, School of Instrument Science and Engineering, Southeast University,  Nanjing 210096, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2015,8,31]]},"reference":[{"key":"ref_1","first-page":"327","article-title":"Initial alignment of large azimuth misalignment angle in SINS based on CKF","volume":"33","author":"Sun","year":"2012","journal-title":"Chin. J. Sci. Instrum."},{"key":"ref_2","unstructured":"Nie, Q. (2008). Nonlinear Filtering and Its Application in Navigation System. [Ph.D. Thesis, Harbin Engineering University]."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"260","DOI":"10.1109\/7.570762","article-title":"Nonlinear filtering methods application in INS alignment","volume":"33","author":"Dmitriyev","year":"1997","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_4","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 IEEE International Conference on Robotics and Automation, Detroit, MI, USA."},{"key":"ref_5","first-page":"1618","article-title":"Study on nonlinear alignment method for low precision INS","volume":"30","author":"Xia","year":"2009","journal-title":"Chin. J. Sci. Instrum."},{"key":"ref_6","unstructured":"Gong, Y.S. (2010). Researches on Particle Filtering Algorithms and Application in GPS\/DR Integrated Navigation. [Ph.D. Thesis, PLA Information Engineering University]."},{"key":"ref_7","first-page":"584","article-title":"The unscented particle filter","volume":"13","author":"Doucet","year":"2001","journal-title":"Adv. Neural. Inf. Process. Syst."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1002\/stc.290","article-title":"The unscented Kalman filter and particle filter methods for nonlinear structural system identification with non-collocated heterogeneous sensing","volume":"16","author":"Chatzi","year":"2009","journal-title":"Struct. Control. Health Monit."},{"key":"ref_9","unstructured":"Zhao, M., Zhang, S., and Zhu, G. (2006, January 21\u201323). The Application Research of Unscented Particle Filter Algorithm to GPS\/DR. Proceedings of 6th World Congress on Intelligent Control and Automation, Dalian, China."},{"key":"ref_10","first-page":"253","article-title":"Application of simplified UKF in SINS initial alignment for large misalignment angles","volume":"16","author":"Yan","year":"2008","journal-title":"J. Chin. Inertial. Technol."},{"key":"ref_11","first-page":"152","article-title":"Application of ICDKF in initial alignment of large azimuth misalignment in SINS","volume":"35","author":"Hao","year":"2013","journal-title":"Syst. Eng. Electron."},{"key":"ref_12","first-page":"80","article-title":"Application of ACDKF in initial alignment of large azimuth misalignment in SINS","volume":"12","author":"Hao","year":"2012","journal-title":"J. Huazhong Univ. Sci. Tech. Nat. Sci. Ed."},{"key":"ref_13","first-page":"1201","article-title":"Study on unscented Kalman filter applied in initial alignment of large azimuth misalignment on static base of SINS","volume":"6","author":"Ding","year":"2006","journal-title":"J. Astronautics"},{"key":"ref_14","unstructured":"Fu, M.Y., Deng, Z.H., and Yan, L.P. (2010). The Theory and the Application of Kalman Filter in Inertial Navigation System, Beijing Science Press."},{"key":"ref_15","first-page":"1139","article-title":"Adaptive unscented particle filter algorithm under unknown noise","volume":"4","author":"Li","year":"2013","journal-title":"J. Jilin Univ. Eng. Technol. Ed."},{"key":"ref_16","unstructured":"Qin, Y.Y. (2006). Inertial Navigation, Beijing Science Press."},{"key":"ref_17","doi-asserted-by":"crossref","unstructured":"Ning, X., and Fang, J. (2008). Spacecraft autonomous navigation using unscented particle filter-based celestial\/Doppler information fusion. Meas. Sci. Technol., 19.","DOI":"10.1088\/0957-0233\/19\/9\/095203"},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"838","DOI":"10.1109\/TIP.2007.891074","article-title":"Adaptive Rao-Black wellized particle filter and its evaluation for tracking in surveillance","volume":"16","author":"Xu","year":"2007","journal-title":"IEEE Trans. Image Process."},{"key":"ref_19","first-page":"568","article-title":"System calibration techniques for inertial measurement units","volume":"5","author":"Liu","year":"2009","journal-title":"J. Chin. Inert. Technol."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/9\/21807\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T20:47:42Z","timestamp":1760215662000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/15\/9\/21807"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,8,31]]},"references-count":19,"journal-issue":{"issue":"9","published-online":{"date-parts":[[2015,9]]}},"alternative-id":["s150921807"],"URL":"https:\/\/doi.org\/10.3390\/s150921807","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,8,31]]}}}