{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:49:09Z","timestamp":1760402949759,"version":"build-2065373602"},"reference-count":20,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2020,4,30]],"date-time":"2020-04-30T00:00:00Z","timestamp":1588204800000},"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":["61803015"],"award-info":[{"award-number":["61803015"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>The initial geographic latitude information is the key to the self-alignment of the strapdown inertial navigation system (SINS), but how to determine the latitude when the latitude cannot be obtained directly or in a short time? The latitude determination (LD) methods are introduced, including magnitude method, geometric method, and analytical methods 1 and 2, to solve this situation only by the output of the SINS itself. Simulation and experimental test results validate the efficiency of these LD methods. In order to improve the accuracy of the LD, the error of the LD method is derived through comparative analysis. Based on the relationship between LD error and inertial measurement unit (IMU) bias. Partial bias estimation method is introduced and executed during latitude determination. After compensating the estimated IMU bias, the accuracy of the LD will be further improved. Latitude errors are also affected by the latitude where SINS is located. Comprehensive simulation and experimental tests verify the effectiveness of the method. The IMU determined latitude can not only be used to achieve the self-alignment of the SINS, but also to correct the navigation latitude of the long-term SINS, thereby improving the autonomy and positioning accuracy of the navigation system.<\/jats:p>","DOI":"10.3390\/s20092558","type":"journal-article","created":{"date-parts":[[2020,5,4]],"date-time":"2020-05-04T14:00:43Z","timestamp":1588600843000},"page":"2558","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Latitude Determination and Error Analysis for Stationary SINS in Unknow-Position Condition"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0001-7671-6847","authenticated-orcid":false,"given":"Suier","family":"Wang","sequence":"first","affiliation":[{"name":"School of Instrumentation Science and Opto-Electronic Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Gongliu","family":"Yang","sequence":"additional","affiliation":[{"name":"School of Instrumentation Science and Opto-Electronic Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Chen","sequence":"additional","affiliation":[{"name":"School of Instrumentation Science and Opto-Electronic Engineering, Beihang University, Beijing 100191, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Lifen","family":"Wang","sequence":"additional","affiliation":[{"name":"Department of Aerospace Science and Technology, Space Engineering University, Beijing 101416, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,4,30]]},"reference":[{"key":"ref_1","unstructured":"Savage, P.G. (2007). Strapdown Aanalytics, Strapdown Associayes, Inc."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Titterton, D.H., and Weston, J.L. (2004). Strapdown Inertial Navigation Technology, Institution of Electrical Engineers.","DOI":"10.1049\/PBRA017E"},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"1777","DOI":"10.1109\/TAES.2016.7738355","article-title":"Error Analysis of analytical coarse alignment formulations for stationary SINS","volume":"52","author":"Silva","year":"2016","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Silva, F.O., Hemerly, E.M., and Filho, W.C.L. (2014, January 5\u20138). Influence of Latitude in Coarse Self-Alignment of Strapdown Inertial Navigation Systems. Proceedings of the 2014 IEEE\/ION Position, Location and Navigation Symposium, Monterey, CA, USA.","DOI":"10.1109\/PLANS.2014.6851496"},{"key":"ref_5","unstructured":"Qin, Y.Y. (2006). Inertial Navigation, Science Press. [1st ed.]."},{"key":"ref_6","unstructured":"Britting, K.R. (1997). Inertial Navigation System Analysis, John Wiley and Sons, Inc."},{"key":"ref_7","first-page":"55","article-title":"Design of a Stationary Self-Alignment Algorithm for Strapdown Inertial Navigation Systems","volume":"48","author":"Silva","year":"2015","journal-title":"Ifac Pap."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"334","DOI":"10.1109\/7.640292","article-title":"Error analysis of analytic coarse alignment methods","volume":"34","author":"Jiang","year":"1998","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1007\/s11768-005-0007-4","article-title":"A fast and accurate initial alignment method for strapdown inertial navigation system on stationary base","volume":"3","author":"Wang","year":"2005","journal-title":"J. Control. Theory Appl."},{"key":"ref_10","doi-asserted-by":"crossref","first-page":"165873","DOI":"10.1109\/ACCESS.2019.2953301","article-title":"A Novel Method for Fast Stationary Initial Alignment Based on Extended Measurement Information","volume":"7","author":"Yang","year":"2019","journal-title":"IEEE Access"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.ast.2010.05.004","article-title":"Optimization-based alignment for inertial navigation systems: Theory and algorithm","volume":"15","author":"Wu","year":"2011","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_12","first-page":"31","article-title":"SINS Initial Alignment Analysis Under Geographic Latitude Uncertainty","volume":"26","author":"Yan","year":"2008","journal-title":"Aerosp. Control"},{"key":"ref_13","first-page":"77","article-title":"An Initial Alignment Method of SINS without Latitude Based on Calculation of Earth Axis Vector","volume":"40","author":"Zheng","year":"2019","journal-title":"J. Astronaut."},{"key":"ref_14","first-page":"19","article-title":"An New Alignment Method of SINS Without Latitude Based on Quaternion Calculation","volume":"37","author":"Zheng","year":"2019","journal-title":"Aerosp. Control"},{"key":"ref_15","first-page":"2322","article-title":"SINS Initial Alignment of Swaying Base Under Geographic Latitude Uncertainty","volume":"33","author":"Wang","year":"2012","journal-title":"Acta Aeronaut. Astronaut. Sin."},{"key":"ref_16","first-page":"7","article-title":"Novel self-alignment algorithm with unknown latitude for SINS on swing base","volume":"3","author":"Lv","year":"2017","journal-title":"J. Chin. Inert. Technol."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"3058","DOI":"10.1109\/TIM.2012.2202186","article-title":"Error Analysis and gyro-bias calibration of analytic coarse alignment for airborne POS","volume":"61","author":"Li","year":"2012","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"831","DOI":"10.1109\/TIM.2017.2789138","article-title":"A Fast In-Field Coarse Alignment and Bias Estimation Method for Stationary Intermediate-Grade IMUs","volume":"67","author":"Silva","year":"2018","journal-title":"IEEE Trans. Instrum. Meas."},{"key":"ref_19","doi-asserted-by":"crossref","first-page":"151669","DOI":"10.1109\/ACCESS.2019.2948498","article-title":"An Improve Hybrid Calibration Scheme for Strapdown Inertial Navigation System","volume":"7","author":"Wang","year":"2019","journal-title":"IEEE Access"},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"125","DOI":"10.1016\/j.ast.2010.06.007","article-title":"Improved self-alignment scheme for SINS using augmented measurement","volume":"15","author":"Acharya","year":"2011","journal-title":"Aerosp. Sci. 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