{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,28]],"date-time":"2025-10-28T15:06:00Z","timestamp":1761663960705,"version":"build-2065373602"},"reference-count":21,"publisher":"MDPI AG","issue":"20","license":[{"start":{"date-parts":[[2019,10,15]],"date-time":"2019-10-15T00:00:00Z","timestamp":1571097600000},"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":["41074023"],"award-info":[{"award-number":["41074023"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"National Basic Research Program of China (973 Program)","award":["2013CB733205"],"award-info":[{"award-number":["2013CB733205"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>Deformation monitoring of engineering structures using the advanced Global Navigation Satellite System (GNSS) has attracted research interest due to its high-precision, constant availability and global coverage. However, GNSS application requires precise coordinates of points of interest through quick and reliable resolution of integer ambiguities in carrier phase measurements. Conventional integer ambiguity resolution algorithms have been extensively researched indeed in the past few decades, although the application of GNSS to structural health monitoring is still limited. In particular, known a priori information related to the structure of a body of interest is not normally considered. This study proposes a composite strategy that incorporates modified least-squares ambiguity decorrelation adjustment (MLAMBDA) method with priori information of the structural deformation. Data from the observation sites of Baishazhou Bridge are used to test method performance. Compared to MLAMBDA methods that do not consider priori information, the ambiguity success rate (ASR) improves by 20% for global navigation satellite system (GLONASS) and 10% for Multi-GNSS, while running time is reduced by 60 s for a single system and 180 s for Multi-GNSS system. Experimental results of Teaching Experiment Building indicate that our constrained MLAMBDA method improves positioning accuracy and meets the requirements of structural health monitoring, suggesting that the proposed strategy presents an improved integer ambiguity resolution algorithm.<\/jats:p>","DOI":"10.3390\/s19204462","type":"journal-article","created":{"date-parts":[[2019,10,16]],"date-time":"2019-10-16T03:32:54Z","timestamp":1571196774000},"page":"4462","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Constrained MLAMBDA Method for Multi-GNSS Structural Health Monitoring"],"prefix":"10.3390","volume":"19","author":[{"given":"Haiyang","family":"Li","sequence":"first","affiliation":[{"name":"GNSS Research Center, Wuhan University, Wuhan 430079, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-1271-7968","authenticated-orcid":false,"given":"Guigen","family":"Nie","sequence":"additional","affiliation":[{"name":"GNSS Research Center, Wuhan University, Wuhan 430079, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Dezhong","family":"Chen","sequence":"additional","affiliation":[{"name":"GNSS Research Center, Wuhan University, Wuhan 430079, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shuguang","family":"Wu","sequence":"additional","affiliation":[{"name":"GNSS Research Center, Wuhan University, Wuhan 430079, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Kezhi","family":"Wang","sequence":"additional","affiliation":[{"name":"Southern Surveying and Mapping Geographic Company, Guangzhou 510663, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2019,10,15]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"193","DOI":"10.1007\/s001900050236","article-title":"Adaptive Kalman Filtering for INS\/GPS","volume":"73","author":"Mohamed","year":"1999","journal-title":"J. Geod."},{"key":"ref_2","doi-asserted-by":"crossref","unstructured":"Li, W., Huang, Z., Lang, R., Qin, H., Zhou, K., and Cao, Y. (2016). A Real-Time Interference Monitoring Technique for GNSS Based on a Twin Support Vector Machine Method. Sensors, 16.","DOI":"10.3390\/s16030329"},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Barzaghi, R., Cazzaniga, N.E., De Gaetani, C.I., Pinto, L., and Tornatore, V. (2018). Estimating and Comparing Dam Deformation Using Classical and GNSS Techniques. Sensors, 18.","DOI":"10.20944\/preprints201801.0209.v1"},{"key":"ref_4","doi-asserted-by":"crossref","unstructured":"Meng, X., Nguyen, D.T., Xie, Y., Xie, Y., Owen, J.S., Psimoulis, P., Ince, S., Chen, Q., Ye, J., and Bhatia, P. (2018). Design and Implementation of a New System for Large Bridge Monitoring\u2014GeoSHM. Sensors, 18.","DOI":"10.3390\/s18030775"},{"key":"ref_5","doi-asserted-by":"crossref","unstructured":"Hatch, R. (1990, January 10\u201313). Instantaneous Ambiguity Resolution. Proceedings of the Kinematic Systems in Geodesy, Surveying, and Remote Sensing, Banff, AB, Canada.","DOI":"10.1007\/978-1-4612-3102-8_27"},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/BF00863419","article-title":"The least-squares ambiguity decorrelation adjustment: A method for fast GPS integer ambiguity estimation","volume":"70","author":"Teunissen","year":"1995","journal-title":"J Geod."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"552","DOI":"10.1007\/s00190-005-0004-x","article-title":"MLAMBDA: A modified LAMBDA method for integer least-squares estimation","volume":"79","author":"Chang","year":"2005","journal-title":"J Geod."},{"key":"ref_8","unstructured":"Park, C., and Kim, I. (1998, January 29\u201331). Integer ambiguity resolution for GPS based attitude determination system. Proceedings of the 37th SICE Annual Conference. International Session Papers, Chiba, Japan."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"97","DOI":"10.1007\/s10291-008-0103-2","article-title":"A constrained LAMBDA method for GPS attitude determination","volume":"13","author":"Wang","year":"2009","journal-title":"GPS Solut."},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Oliazadeh, N., Landry, R., Yeste-Ojeda, O.A., Gagnon, E., and Wong, F. (2015, January 22\u201324). GPS-based attitude determination using RLS and LAMBDA methods. Proceedings of the 2015 International Conference on Localization and GNSS (ICL-GNSS), Gothenburg, Sweden.","DOI":"10.1109\/ICL-GNSS.2015.7217146"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"30093","DOI":"10.3390\/s151229774","article-title":"GNSS Single Frequency, Single Epoch Reliable Attitude Determination Method with Baseline Vector Constraint","volume":"15","author":"Gong","year":"2015","journal-title":"Sensors"},{"key":"ref_12","doi-asserted-by":"crossref","first-page":"036030","DOI":"10.1117\/1.JRS.11.036030","article-title":"Ground-based synthetic aperture radar interferometry for deformation monitoring: A case study at Geheyan Dam, China","volume":"11","author":"Huang","year":"2017","journal-title":"J. Appl. Remote. Sens."},{"key":"ref_13","doi-asserted-by":"crossref","unstructured":"Wong, K.Y., Lau, C.K., and Flint, A.R. (2000, January 6\u20138). Planning and implementation of the structural health monitoring system for cable-supported bridges in Hong Kong. Proceedings of the SPIE\u2019s 5th Annual International Symposium on Nondestructive Evaluation and Health Monitoring of Aging Infrastructure, Newport Beach, CA, USA.","DOI":"10.1117\/12.387819"},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"3178","DOI":"10.1016\/j.engstruct.2007.03.012","article-title":"Detecting bridge dynamics with GPS and triaxial accelerometers","volume":"29","author":"Meng","year":"2007","journal-title":"Eng. Struct."},{"key":"ref_15","doi-asserted-by":"crossref","first-page":"606","DOI":"10.1016\/j.jsv.2008.04.036","article-title":"Potential of global positioning system (GPS) to measure frequencies of oscillations of engineering structures","volume":"318","author":"Psimoulis","year":"2008","journal-title":"J. Sound Vib."},{"key":"ref_16","first-page":"51","article-title":"Similar Single-Difference Model and Its Algorithm for Solving GPS Monitoring Deformation Directly at Single Epoch","volume":"6","author":"Yu","year":"2002","journal-title":"Geo-Spat. Inf. Sci."},{"key":"ref_17","first-page":"96","article-title":"Experimental Analysis of Continuous Deformation Monitoring Using the Whole Weekly Single Epoch Algorithm (in Chinese)","volume":"34","author":"Bai","year":"2014","journal-title":"J. Geod. Geodyn."},{"key":"ref_18","unstructured":"Park, C., Kim, I., Lee, J.G., and Jee, G.-I. (1996, January 22\u201325). Efficient ambiguity resolution using constraint equation. Proceedings of the Position, Location and Navigation Symposium\u2014PLANS \u201996, Atlanta, GA, USA."},{"key":"ref_19","first-page":"234","article-title":"Single Epoch Ambiguity Resolution in Structure Monitoring Using GPS (in Chinese)","volume":"32","author":"Dai","year":"2007","journal-title":"Geomat. Inf. Sci. Wuhan Univ."},{"key":"ref_20","doi-asserted-by":"crossref","first-page":"436","DOI":"10.1007\/s001900050183","article-title":"Robust Kalman filter for rank deficient observation models","volume":"72","author":"Koch","year":"1998","journal-title":"J. Geod."},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"21","DOI":"10.1007\/s10291-004-0123-5","article-title":"Precise GRACE baseline determination using GPS","volume":"9","author":"Kroes","year":"2005","journal-title":"GPS Solut."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/20\/4462\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T13:26:25Z","timestamp":1760189185000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/19\/20\/4462"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2019,10,15]]},"references-count":21,"journal-issue":{"issue":"20","published-online":{"date-parts":[[2019,10]]}},"alternative-id":["s19204462"],"URL":"https:\/\/doi.org\/10.3390\/s19204462","relation":{},"ISSN":["1424-8220"],"issn-type":[{"type":"electronic","value":"1424-8220"}],"subject":[],"published":{"date-parts":[[2019,10,15]]}}}