{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T15:48:37Z","timestamp":1781020117346,"version":"3.54.1"},"reference-count":35,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2020,1,21]],"date-time":"2020-01-21T00:00:00Z","timestamp":1579564800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Honeywell Technology Solutions China","award":["-"],"award-info":[{"award-number":["-"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Sensors"],"abstract":"<jats:p>To ensure navigation integrity for safety-critical applications, this paper proposes an efficient Fault Detection and Exclusion (FDE) scheme for tightly coupled navigation system of Global Navigation Satellite Systems (GNSS) and Inertial Navigation System (INS). Special emphasis is placed on the potential faults in the Kalman Filter state prediction step (defined as \u201cfilter fault\u201d), which could be caused by the undetected faults occurring previously or the Inertial Measurement Unit (IMU) failures. The integration model is derived first to capture the features and impacts of GNSS faults and filter fault. To accommodate various fault conditions, two independent detectors, which are respectively designated for GNSS fault and filter fault, are rigorously established based on hypothesis-test methods. Following a detection event, the newly-designed exclusion function enables (a) identifying and removing the faulty measurements and (b) eliminating the effect of filter fault through filter recovery. Moreover, we also attempt to avoid wrong exclusion events by analyzing the underlying causes and optimizing the decision strategy for GNSS fault exclusion accordingly. The FDE scheme is validated through multiple simulations, where high efficiency and effectiveness have been achieved in various fault scenarios.<\/jats:p>","DOI":"10.3390\/s20030590","type":"journal-article","created":{"date-parts":[[2020,1,21]],"date-time":"2020-01-21T11:25:59Z","timestamp":1579605959000},"page":"590","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":37,"title":["Fault Detection and Exclusion for Tightly Coupled GNSS\/INS System Considering Fault in State Prediction"],"prefix":"10.3390","volume":"20","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-3518-2281","authenticated-orcid":false,"given":"Shizhuang","family":"Wang","sequence":"first","affiliation":[{"name":"School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xingqun","family":"Zhan","sequence":"additional","affiliation":[{"name":"School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yawei","family":"Zhai","sequence":"additional","affiliation":[{"name":"School of Aeronautics and Astronautics, Shanghai Jiao Tong University, Shanghai 200240, China"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Baoyu","family":"Liu","sequence":"additional","affiliation":[{"name":"Schulich School of Engineering, University of Calgary, Calgary, AB T2N 1N4, Canada"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,21]]},"reference":[{"key":"ref_1","unstructured":"Groves, P. (2013). Book Principles of GNSS, Inertial and Multi-Sensor Integrated Navigation Systems, Artech House. [2nd ed.]."},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"48","DOI":"10.1016\/j.inffus.2010.01.003","article-title":"GPS\/INS integration utilizing dynamic neural networks for vehicular navigation","volume":"12","author":"Noureldin","year":"2011","journal-title":"Inf. Fusion"},{"key":"ref_3","unstructured":"Angrisano, A. (2010). GNSS\/INS Integration Methods. [Ph.D. Thesis, University of Calgary]."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"349","DOI":"10.2514\/1.59480","article-title":"Kalman filter-based integrity monitoring against sensor faults","volume":"36","author":"Joerger","year":"2013","journal-title":"J. Guid. Control Dyn."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"133","DOI":"10.2514\/1.D0120","article-title":"Analysis of Urban Air Mobility Operational Constraints","volume":"26","author":"Vascik","year":"2018","journal-title":"J. Air Transp."},{"key":"ref_6","doi-asserted-by":"crossref","first-page":"1281","DOI":"10.1017\/S0373463318000383","article-title":"Fault Exclusion in Multi-Constellation Global Navigation Satellite Systems","volume":"71","author":"Zhai","year":"2018","journal-title":"J. Navig."},{"key":"ref_7","doi-asserted-by":"crossref","unstructured":"Lee, J., Kim, M., Min, D., and Lee, J. (2019, January 16\u201320). Integrity Algorithm to Protect against Sensor Faults in Tightly-coupled KF State Prediction. Proceedings of the 32nd International Technical Meeting of the Satellite Division of the Institute of Navigation (ION GNSS+ 2019), Miami, FL, USA.","DOI":"10.33012\/2019.16867"},{"key":"ref_8","unstructured":"Ober, P.B., and Harriman, D. (2006, January 26\u201329). On the Use of Multiconstellation-RAIM for Aircraft Approaches. Proceedings of the 19th International Technical Meeting of the Satellite Division of the Institute of Navigation, Fort Worth, TX, USA."},{"key":"ref_9","doi-asserted-by":"crossref","first-page":"713","DOI":"10.1109\/TAES.2014.130739","article-title":"Baseline advanced RAIM user algorithm and possible improvements","volume":"51","author":"Blanch","year":"2015","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"key":"ref_10","unstructured":"Diesel, J., and Luu, S. (1995, January 12\u201315). GPS\/IRS AIME: Calculation of Thresholds and Protection Radius Using Chi-Square Methods. Proceedings of the 8th International Technical Meeting of the Satellite Division of the Institute of Navigation, Palm Springs, CA, USA."},{"key":"ref_11","unstructured":"Crespillo, O.G., Grosch, A., Skaloud, J., and Meurer, M. (2006, January 25\u201329). Innovation vs. Residual KF Based GNSS\/INS Autonomous Integrity Monitoring in Single Fault Scenario. Proceedings of the 30th International Technical Meeting of the Satellite Division of the Institute of Navigation, Portland, OR, USA."},{"key":"ref_12","unstructured":"Call, C., Ibis, M., McDonald, J., and Vanderwerf, K. (2006, January 25\u201327). Performance of Honey well\u2019s Inertial\/GPS Hybrid (HIGH) for RNP operations. Proceedings of the IEEE\/ION PLANS 2006, San Diego, CA, USA."},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"26","DOI":"10.5081\/jgps.8.1.26","article-title":"Detecting Multiple failures in GPS\/INS integrated system: A Novel architecture for Integrity Monitoring","volume":"8","author":"Bhatti","year":"2010","journal-title":"J. Glob. Position. Syst."},{"key":"ref_14","doi-asserted-by":"crossref","first-page":"593","DOI":"10.1007\/s10291-013-0357-1","article-title":"An enhanced MEMS-INS\/GNSS integrated system with fault detection and exclusion capability for land vehicle navigation in urban areas","volume":"18","author":"Yang","year":"2014","journal-title":"GPS Solut."},{"key":"ref_15","unstructured":"Giremus, A., and Escher, A.C. (2007, January 25\u201328). A GLR algorithm to detect and exclude up to two simultaneous range failures in a GPS\/Galileo\/IRS case. Proceedings of the 20th International Technical Meeting of the Satellite Division of the Institute of Navigation, Fort Worth, TX, USA."},{"key":"ref_16","doi-asserted-by":"crossref","first-page":"13","DOI":"10.1061\/(ASCE)0733-9453(2010)136:1(13)","article-title":"Extended Receiver Autonomous Integrity Monitoring (eRAIM) for GNSS\/INS Integration","volume":"136","author":"Hewitson","year":"2010","journal-title":"J. Surv. Eng."},{"key":"ref_17","doi-asserted-by":"crossref","first-page":"293","DOI":"10.1007\/s10291-011-0231-y","article-title":"Performance of rate detector algorithms for an integrated GPS\/INS system in the presence of slowly growing error","volume":"16","author":"Bhatti","year":"2012","journal-title":"GPS Solut."},{"key":"ref_18","doi-asserted-by":"crossref","first-page":"561","DOI":"10.1017\/S037346331600076X","article-title":"Approach for Detecting Soft Faults in GPS\/INS Integrated Navigation based on LS-SVM and AIME","volume":"70","author":"Zhong","year":"2017","journal-title":"J. Navig."},{"key":"ref_19","first-page":"1","article-title":"Intelligent active fault-tolerant system for multi-source integrated navigation system based on deep neural network","volume":"1","author":"Guo","year":"2019","journal-title":"Neural Comput. Appl."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Crespillo, O.G., Medina, D., Skaloud, J., and Meurer, M. (2018, January 23\u201326). Tightly coupled GNSS\/INS integration based on robust M-estimators. Proceedings of the IEEE\/ION PLANS 2018, Monterey, CA, USA.","DOI":"10.1109\/PLANS.2018.8373551"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"947","DOI":"10.1016\/j.cja.2014.06.012","article-title":"Model-based robust estimation and fault detection for MEMS-INS\/GPS integrated navigation systems","volume":"27","author":"Miao","year":"2014","journal-title":"Chin. J. Aeronaut."},{"key":"ref_22","first-page":"61","article-title":"GNSS\/INS tightly coupling system integrity monitoring by robust estimation","volume":"50","author":"Wang","year":"2018","journal-title":"J. Aeronaut. Astronaut. Aviat. Ser. A"},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"191","DOI":"10.1016\/j.ast.2014.11.009","article-title":"A nonlinear quaternion-based fault-tolerant SINS\/GNSS integrated navigation method for autonomous UAVs","volume":"40","author":"Liang","year":"2015","journal-title":"Aerosp. Sci. Technol."},{"key":"ref_24","doi-asserted-by":"crossref","unstructured":"Roysdon, P.F., and Farrell, J.A. (2017, January 24\u201326). GPS-INS outlier detection & elimination using a sliding window filter. Proceedings of the 2017 American Control Conference, Seattle, WA, USA.","DOI":"10.23919\/ACC.2017.7963123"},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"2762","DOI":"10.1109\/TITS.2017.2766768","article-title":"GNSS Position Integrity in Urban Environments: A Review of Literature","volume":"19","author":"Zhu","year":"2018","journal-title":"IEEE Trans. Intell. Transp. Syst."},{"key":"ref_26","doi-asserted-by":"crossref","unstructured":"Arana, G.D., Hafez, O.A., Joerger, M., and Spenko, M. (2019, January 20\u201324). Recursive Integrity Monitoring for Mobile Robot Localization Safety. Proceedings of the 2019 International Conference on Robotics and Automation (ICRA), Montreal, QC, Canada.","DOI":"10.1109\/ICRA.2019.8794115"},{"key":"ref_27","doi-asserted-by":"crossref","unstructured":"Tan\u0131l, \u00c7., Khanafseh, S., Joerger, M., and Pervan, B. (2018, January 24\u201328). Sequential integrity monitoring for Kalman filter innovations-based detectors. Proceedings of the 31st International Technical Meeting of the Satellite Division of the Institute of Navigation, Miami, FL, USA.","DOI":"10.33012\/2018.15975"},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Lee, J., Kim, M., Lee, J., and Pullen, S. (2018, January 24\u201328). Integrity assurance of Kalman-filter based GNSS\/IMU integrated systems against IMU faults for UAV applications. Proceedings of the 31st International Technical Meeting of the Satellite Division of the Institute of Navigation, Miami, FL, USA.","DOI":"10.33012\/2018.15977"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Crispoltoni, M., Fravolini, M.L., Balzano, F., D\u2019Urso, S., and Napolitano, M.R. (2018). Interval fuzzy model for robust aircraft imu sensors fault detection. Sensors, 18.","DOI":"10.3390\/s18082488"},{"key":"ref_30","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1017\/S0373463307004237","article-title":"Failure modes and models for integrated GPS\/INS systems","volume":"60","author":"Bhatti","year":"2007","journal-title":"J. Navig."},{"key":"ref_31","unstructured":"RTCA Special Committee (2006). Minimum Operational Performance Standards for GPS WAAS Airborne Equipment (DO-229D), RTCA Inc."},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"456","DOI":"10.3390\/s100100456","article-title":"Reliability testing procedure for MEMS IMUs applied to vibrating environments","volume":"10","author":"Pasquale","year":"2010","journal-title":"Sensors"},{"key":"ref_33","doi-asserted-by":"crossref","first-page":"301","DOI":"10.1002\/j.2161-4296.1992.tb02278.x","article-title":"A Baseline GPS RAIM Scheme and a Note on the Equivalence of Three RAIM Methods","volume":"39","year":"1992","journal-title":"Navigation"},{"key":"ref_34","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1007\/s10846-016-0425-1","article-title":"Quadrotor Sensor Fault Diagnosis with Experimental Results","volume":"86","author":"Avram","year":"2017","journal-title":"J. Intell. Robot. Syst. Theory Appl."},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"2444","DOI":"10.1109\/TAES.2015.130585","article-title":"Kalman filter-based RAIM for GNSS receivers","volume":"51","author":"Bhattacharyya","year":"2015","journal-title":"IEEE Trans. Aerosp. Electron. Syst."}],"container-title":["Sensors"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/3\/590\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T14:05:34Z","timestamp":1760364334000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/1424-8220\/20\/3\/590"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,1,21]]},"references-count":35,"journal-issue":{"issue":"3","published-online":{"date-parts":[[2020,2]]}},"alternative-id":["s20030590"],"URL":"https:\/\/doi.org\/10.3390\/s20030590","relation":{},"ISSN":["1424-8220"],"issn-type":[{"value":"1424-8220","type":"electronic"}],"subject":[],"published":{"date-parts":[[2020,1,21]]}}}