{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T05:05:56Z","timestamp":1769749556020,"version":"3.49.0"},"reference-count":56,"publisher":"MDPI AG","issue":"4","license":[{"start":{"date-parts":[[2023,2,19]],"date-time":"2023-02-19T00:00:00Z","timestamp":1676764800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Remote Sensing"],"abstract":"<jats:p>A robust multisensor navigation filter design for the entry phase of next-generation Mars entry, descent, and landing (EDL) is presented. The entry phase is the longest and most uncertain portion of a Mars landing sequence. Navigation performance at this stage determines landing precision at the end of the powered descent phase of EDL. In the present work, measurements from a ground-based radio beacon array, an inertial measurement unit (IMU), as well as an array of atmospheric and aerothermal sensors on the body of a Mars entry vehicle are fused using an M-estimation-based iterated extended Kalman filtering (MIEKF) framework. The multisensor approach enables an increased positioning accuracy as well as the estimation of parameters that are otherwise unobservable. Furthermore, owing to the proposed statistically robust filter formulation, states and parameters can be accurately estimated in the presence of non-Gaussian measurement noise. Deviations from normally distributed observation noise correspond to outlier events such as sensor faults or other sources of spurious sensor data such as interference. The proposed framework provides a significant reduction in estimation error at the parachute phase of EDL, thereby increasing the likelihood of a pinpoint landing at a chosen landing site. Six states and three parameters are estimated. The suggested method is compared to the extended Kalman filter (EKF) and the unscented Kalman filter (UKF). Detailed simulation results show that the presented fusion architecture is able to meet future pinpoint planetary landing requirements in realistic sensor measurement scenarios.<\/jats:p>","DOI":"10.3390\/rs15041139","type":"journal-article","created":{"date-parts":[[2023,2,20]],"date-time":"2023-02-20T01:36:37Z","timestamp":1676856997000},"page":"1139","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["A Distributionally Robust Fusion Framework for Autonomous Multisensor Spacecraft Navigation during Entry Phase of Mars Entry, Descent, and Landing"],"prefix":"10.3390","volume":"15","author":[{"given":"Natnael S.","family":"Zewge","sequence":"first","affiliation":[{"name":"Department of Aerospace Engineering, Korea Advanced Institute of Science & Technology (KAIST), Daejeon 34141, Republic of Korea"}]},{"given":"Hyochoong","family":"Bang","sequence":"additional","affiliation":[{"name":"Department of Aerospace Engineering, Korea Advanced Institute of Science & Technology (KAIST), Daejeon 34141, Republic of Korea"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,19]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"40","DOI":"10.1016\/j.paerosci.2014.04.001","article-title":"Review and Prospect of Guidance and Control for Mars Atmospheric Entry","volume":"69","author":"Li","year":"2014","journal-title":"Prog. Aerosp. Sci."},{"key":"ref_2","unstructured":"(2022, December 07). NASA Technology Taxonomy, Available online: https:\/\/www.nasa.gov\/offices\/oct\/taxonomy\/index.html."},{"key":"ref_3","doi-asserted-by":"crossref","unstructured":"Feron, E. (2016). Advances in Control System Technology for Aerospace Applications, Springer. Lecture Notes in Control and Information Sciences 460.","DOI":"10.1007\/978-3-662-47694-9"},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"82","DOI":"10.1016\/j.paerosci.2017.08.002","article-title":"Design and Optimization of Navigation and Guidance Techniques for Mars Pinpoint Landing: Review and Prospect","volume":"94","author":"Yu","year":"2017","journal-title":"Prog. Aerosp. Sci."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"310","DOI":"10.2514\/1.25116","article-title":"Mars Exploration Entry, Descent, and Landing Challenges","volume":"44","author":"Braun","year":"2007","journal-title":"J. Spacecr. Rockets"},{"key":"ref_6","doi-asserted-by":"crossref","unstructured":"Lugo, R.A., Cianciolo, A.D., Williams, R.A., Dutta, S., Powell, R.W., and Chen, P.T. (2022, January 3\u20137). Integrated Precision Landing Performance and Technology Assessments of a Human-Scale Mars Lander Using a Generalized Simulation Framework. Proceedings of the AIAA SCITECH 2022 Forum, San Diego, CA, USA.","DOI":"10.2514\/6.2022-0609"},{"key":"ref_7","unstructured":"Cianciolo, A.D., Striepe, S., Carson, J., Sostaric, R., Woffinden, D., Karlgaard, C., Lugo, R., Powell, R., and Tynis, J. (2019, January 7\u201311). Defining Navigation Requirements for Future Precision Lander Missions. Proceedings of the AIAA Scitech Forum, San Diego, CA, USA."},{"key":"ref_8","doi-asserted-by":"crossref","first-page":"413","DOI":"10.3847\/25c2cfeb.7f40f610","article-title":"Precise and Safe Landing Navigation Technologies for Solar System Exploration","volume":"53","author":"Carson","year":"2021","journal-title":"Bull. AAS"},{"key":"ref_9","doi-asserted-by":"crossref","unstructured":"Williams, J.W., Woffinden, D.C., and Putnam, Z.R. (2020, January 6\u201310). Mars Entry Guidance and Navigation Analysis Using Linear Covariance Techniques for the Safe and Precise Landing\u2014Integrated Capabilities Evolution (Splice) Project. Proceedings of the AIAA Scitech Forum, Orlando, FL, USA.","DOI":"10.2514\/6.2020-0597"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Woffinden, D.C., Robinson, S.B., Williams, J.W., and Putnam, Z.R. (2019, January 7\u201311). Linear Covariance Analysis Techniques to Generate Navigation and Sensor Requirements for the Safe and Precise Landing\u2014Integrated Capabilities Evolution (SPLICE) Project. Proceedings of the AIAA Scitech Forum, San Diego, CA, USA.","DOI":"10.2514\/6.2019-0662"},{"key":"ref_11","doi-asserted-by":"crossref","unstructured":"Prakash, R., Burkhart, P.D., Chen, A., Comeaux, K.A., Guernsey, C.S., Kipp, D.M., Lorenzoni, L.V., Mendeck, G.F., Powell, R.W., and Rivellini, T.P. (2008, January 1\u20138). Mars Science Laboratory Entry, Descent, and Landing System Overview. Proceedings of the 2008 IEEE Aerospace Conference, Big Sky, MT, USA.","DOI":"10.1109\/AERO.2008.4526283"},{"key":"ref_12","doi-asserted-by":"crossref","unstructured":"Nelessen, A., Sackier, C., Clark, I., Brugarolas, P., Villar, G., Chen, A., Stehura, A., Otero, R., Stilley, E., and Way, D. (2019, January 2\u20139). Mars 2020 Entry, Descent, and Landing System Overview. Proceedings of the 2019 IEEE Aerospace Conference, Big Sky, MT, USA.","DOI":"10.1109\/AERO.2019.8742167"},{"key":"ref_13","doi-asserted-by":"crossref","first-page":"1161","DOI":"10.2514\/1.47202","article-title":"Minimum-Landing-Error Powered-Descent Guidance for Mars Landing Using Convex Optimization","volume":"33","author":"Blackmore","year":"2010","journal-title":"J. Guid. Control Dyn."},{"key":"ref_14","unstructured":"A\u00e7\u0131kmese, B., Casoliva, J., and Carson, J.M. (2012, January 12\u201314). G-FOLD: A Real-Time Implementable Fuel Optimal Large Divert Guidance Algorithm for Planetary Pinpoint Landing. Proceedings of the Concepts Approaches Mars Exploration, Houston, TX, USA."},{"key":"ref_15","doi-asserted-by":"crossref","unstructured":"Bishop, R.H., Crain, T.P., Hanak, C., DeMars, K., Carson, J.M., Trawny, N., and Christiank, J. (2016, January 4\u20138). An Inertial Dual-State State Estimator for Precision Planetary Landing with Hazard Detection and Avoidance. Proceedings of the AIAA Guidance, Navigation, and Control Conference, San Diego, CA, USA.","DOI":"10.2514\/6.2016-0098"},{"key":"ref_16","unstructured":"L\u00e9vesque, J.F. (2006). Advanced Navigation and Guidance for High-Precision Planetary Landing on Mars. [Ph.D. Thesis, University of Sherbrooke]."},{"key":"ref_17","first-page":"2677","article-title":"Systems for Pinpoint Landing at Mars","volume":"119","author":"Wolf","year":"2005","journal-title":"Adv. Astronaut. Sci."},{"key":"ref_18","doi-asserted-by":"crossref","unstructured":"Pastor, P.R., Gay, R.S., Striepe, S.A., and Bishop, R.H. (2000, January 14\u201317). Mars Entry Navigation from EKF Processing of Beacon Data. Proceedings of the Astrodynamics Specialist Conference, Denver, CO, USA.","DOI":"10.2514\/6.2000-4426"},{"key":"ref_19","unstructured":"Bishop, R.H., Dubios-Matra, O., and Ely, T. (2001, January 3\u20136). Robust Entry Navigation using Hierarchical Filter Architectures Regulated with Gating Networks. Proceedings of the 16th International Symposium on Space Flight Dynamics, Pasadena, CA, USA."},{"key":"ref_20","doi-asserted-by":"crossref","unstructured":"Marschke, J.M., Crassidis, J.L., and Lam, Q.M. (2008, January 18\u201321). Multiple Model Adaptive Estimation for Inertial Navigation during Mars Entry. Proceedings of the AIAA\/AAS Astrodynamics Specialist Conference and Exhibit, Honolulu, HI, USA.","DOI":"10.2514\/6.2008-7352"},{"key":"ref_21","doi-asserted-by":"crossref","first-page":"169","DOI":"10.2514\/1.25107","article-title":"Innovative Navigation Schemes for State and Parameter Estimation during Mars Entry","volume":"30","year":"2007","journal-title":"J. Guid. Control Dyn."},{"key":"ref_22","doi-asserted-by":"crossref","first-page":"895","DOI":"10.1049\/iet-rsn.2013.0394","article-title":"Extension of Robust Three-Stage Kalman Filter for State Estimation during Mars Entry","volume":"8","author":"Wu","year":"2014","journal-title":"IET Radar Sonar Navig."},{"key":"ref_23","doi-asserted-by":"crossref","first-page":"27","DOI":"10.1080\/00207721.2017.1397807","article-title":"Augmented Robust Three-Stage Extended Kalman Filter for Mars Entry-Phase Autonomous Navigation","volume":"49","author":"Xiao","year":"2018","journal-title":"Int. J. Syst. Sci."},{"key":"ref_24","doi-asserted-by":"crossref","first-page":"643","DOI":"10.2514\/1.G000014","article-title":"Observability-Based Beacon Configuration Optimization for Mars Entry Navigation","volume":"38","author":"Yu","year":"2015","journal-title":"J. Guid. Control Dyn."},{"key":"ref_25","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1017\/S0373463313000738","article-title":"High-Precision Mars Entry Integrated Navigation under Large Uncertainties","volume":"67","author":"Li","year":"2014","journal-title":"J. Navig."},{"key":"ref_26","doi-asserted-by":"crossref","first-page":"1038","DOI":"10.1016\/j.asr.2014.11.016","article-title":"Consider Unobservable Uncertain Parameters Using Radio Beacon Navigation during Mars Entry","volume":"55","author":"Lou","year":"2015","journal-title":"Adv. Space Res."},{"key":"ref_27","doi-asserted-by":"crossref","first-page":"1342","DOI":"10.1016\/j.asr.2017.12.010","article-title":"Radio\/FADS\/IMU Integrated Navigation for Mars Entry","volume":"61","author":"Jiang","year":"2018","journal-title":"Adv. Space Res."},{"key":"ref_28","doi-asserted-by":"crossref","unstructured":"Lugo, R.A., Karlgaard, C.D., Powell, R.W., and Cianciolo, A.D. (2019, January 7\u201311). Integrated Flush Air Data Sensing System Modeling for Planetary Entry Guidance with Direct Force Control. Proceedings of the AIAA Scitech Forum, San Diego, CA, USA.","DOI":"10.2514\/6.2019-0663"},{"key":"ref_29","doi-asserted-by":"crossref","unstructured":"Karlgaard, C.D., Stoffel, T.D., White, T.R., and West, T.K. (July, January 27). Data Fusion of In-Flight Aerothermodynamic Heating Measurements Using Kalman Filtering. Proceedings of the AIAA Aviation 2022 Forum, Chicago, IL, USA.","DOI":"10.2514\/6.2022-3794"},{"key":"ref_30","unstructured":"Karlgaard, C.D., and Tynis, J.A. (2019). Mars Phoenix EDL Trajectory and Atmosphere Reconstruction Using NewSTEP, NASA. NASA\/TM-2019-220282."},{"key":"ref_31","doi-asserted-by":"crossref","first-page":"865","DOI":"10.2514\/1.A34913","article-title":"Mars InSight Entry, Descent, and Landing Trajectory and Atmosphere Reconstruction","volume":"58","author":"Karlgaard","year":"2021","journal-title":"J. Spacecr. Rockets"},{"key":"ref_32","doi-asserted-by":"crossref","first-page":"1029","DOI":"10.2514\/1.A32770","article-title":"Mars Science Laboratory Entry Atmospheric Data System Trajectory and Atmosphere Reconstruction","volume":"51","author":"Karlgaard","year":"2014","journal-title":"J. Spacecr. Rockets"},{"key":"ref_33","doi-asserted-by":"crossref","unstructured":"Karlgaard, C.D., Schoenenberger, M., Dutta, S., and Way, D.W. (2022, January 3\u20137). Mars Entry, Descent, and Landing Instrumentation 2 Trajectory, Aerodynamics, and Atmosphere Reconstruction. Proceedings of the AIAA Scitech Forum, San Diego, CA, USA.","DOI":"10.2514\/6.2022-0423"},{"key":"ref_34","first-page":"481","article-title":"Robust Kalman Filter and Its Application in Time Series Analysis","volume":"27","author":"Cipra","year":"1991","journal-title":"Kybernetika"},{"key":"ref_35","doi-asserted-by":"crossref","first-page":"93","DOI":"10.1007\/s00362-012-0496-4","article-title":"Robust Kalman tracking and smoothing with propagating and non-propagating outliers","volume":"55","author":"Ruckdeschel","year":"2014","journal-title":"Stat. Pap."},{"key":"ref_36","unstructured":"Vinh, N.X., Busemann, A., and Culp, R.D. (1980). Hypersonic and Planetary Entry Flight Mechanics, The University of Michigan Press."},{"key":"ref_37","doi-asserted-by":"crossref","unstructured":"Regan, F.J., and Anandakrishnan, S.M. (1993). Dynamics of Atmospheric Re-Entry, AIAA.","DOI":"10.2514\/4.861741"},{"key":"ref_38","unstructured":"Morabito, D.D. (2002). The Spacecraft Communications Blackout Problem Encountered during Passage or Entry of Planetary Atmospheres, NASA. IPN Progress Report 42-150."},{"key":"ref_39","doi-asserted-by":"crossref","first-page":"519","DOI":"10.2514\/1.30974","article-title":"Real-Time Navigation for Mars Missions Using the Mars Network","volume":"45","author":"Lightsey","year":"2008","journal-title":"J. Spacecr. Rockets"},{"key":"ref_40","doi-asserted-by":"crossref","unstructured":"Gazarik, M.J., Wright, M.J., Little, A., Cheatwood, F.M., Herath, J.A., Munk, M.M., Novak, F.J., and Martinez, E.R. (2008, January 1\u20138). Overview of the MEDLI Project. Proceedings of the 2008 IEEE Aerospace Conference, Big Sky, MT, USA.","DOI":"10.1109\/AERO.2008.4526285"},{"key":"ref_41","doi-asserted-by":"crossref","unstructured":"Hwang, H.H., Bose, D., White, T.R., Wright, H.S., Schoenenberger, M., Kuhl, C.A., Trombetta, D., Santos, J.A., Oishi, T., and Karlgaard, C.D. (2016, January 13\u201317). Mars 2020 Entry, Descent and Landing Instrumentation 2 (Medli2). Proceedings of the 46th AIAA Thermophysics Conference, Washington DC, USA.","DOI":"10.2514\/6.2016-3536"},{"key":"ref_42","doi-asserted-by":"crossref","unstructured":"White, T.R., Mahzari, M., Miller, R.A., Tang, C.Y., Monk, J., Santos, J.A.B., Karlgaard, C.D., Alpert, H.S., Wright, H.S., and Kuhl, C. (2022, January 3\u20137). Mars Entry Instrumentation Flight Data and Mars 2020 Entry Environments. Proceedings of the AIAA SCITECH 2022 Forum, San Diego, CA, USA.","DOI":"10.2514\/6.2022-0011"},{"key":"ref_43","doi-asserted-by":"crossref","first-page":"641","DOI":"10.2514\/1.47577","article-title":"Reachable and Controllable Sets for Planetary Entry and Landing","volume":"33","author":"Benito","year":"2010","journal-title":"J. Guid. Control Dyn."},{"key":"ref_44","unstructured":"Kay, S.M. (1997). Fundamentals of Statistical Signal Processing: Estimation Theory, Prentice Hall."},{"key":"ref_45","unstructured":"Van Trees, H.L., Bell, K.L., and Tian, Z. (2013). Detection Estimation and Modulation Theory, Part I: Detection, Estimation, and Filtering Theory, Wiley."},{"key":"ref_46","doi-asserted-by":"crossref","unstructured":"Hampel, F.R., Ronchetti, E.M., Rousseeuw, P.J., and Stahel, W.A. (2005). Robust Statistics: The Approach Based on Influence Functions, Wiley.","DOI":"10.1002\/9781118186435"},{"key":"ref_47","doi-asserted-by":"crossref","unstructured":"Maronna, R.A., Martin, R.D., Yohai, V.J., and Salibi\u00e0n-Barrera, M. (2019). Robust Statistics: Theory and Methods (with R), Wiley.","DOI":"10.1002\/9781119214656"},{"key":"ref_48","doi-asserted-by":"crossref","unstructured":"Zoubir, A.M., Koivunen, V., Ollila, E., and Muma, M. (2018). Robust Statistics for Signal Processing, Cambridge University Press.","DOI":"10.1017\/9781139084291"},{"key":"ref_49","doi-asserted-by":"crossref","unstructured":"Huber, P., and Ronchetti, E.M. (2009). Robust Statistics, Wiley.","DOI":"10.1002\/9780470434697"},{"key":"ref_50","doi-asserted-by":"crossref","first-page":"294","DOI":"10.1109\/9.250476","article-title":"The Iterated Kalman Filter Update as a Gauss\u2014Newton Method","volume":"38","author":"Bell","year":"1993","journal-title":"IEEE Trans. Autom. Contr."},{"key":"ref_51","unstructured":"Maybeck, P.S. (1982). Stochastic Models, Estimation and Control, Academic Press."},{"key":"ref_52","doi-asserted-by":"crossref","unstructured":"Simon, D. (2006). Optimal State Estimation: Kalman, H Infinity, and Nonlinear Approaches, Wiley-Interscience.","DOI":"10.1002\/0470045345"},{"key":"ref_53","doi-asserted-by":"crossref","first-page":"401","DOI":"10.1109\/JPROC.2003.823141","article-title":"Unscented Filtering and Nonlinear Estimation","volume":"92","author":"Julier","year":"2004","journal-title":"Proc. IEEE"},{"key":"ref_54","doi-asserted-by":"crossref","unstructured":"Zarchan, P., and Musoff, H. (2015). Fundamentals of Kalman Filtering: A Practical Approach, American Inst of Aeronautics & Astronautics. [4th ed.].","DOI":"10.2514\/4.102776"},{"key":"ref_55","doi-asserted-by":"crossref","first-page":"12022","DOI":"10.1088\/1742-6596\/659\/1\/012022","article-title":"Performance Evaluation of Iterated Extended Kalman Filter with Variable Step-Length","volume":"659","author":"Straka","year":"2015","journal-title":"J. Phys. Conf. Ser."},{"key":"ref_56","unstructured":"Skoglund, M.A., Hendeby, G., and Axehill, D. (2015, January 6\u20139). Extended Kalman Filter Modifications Based on an Optimization View Point. Proceedings of the International Conference on Information Fusion, Washington, DC, USA."}],"container-title":["Remote Sensing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/4\/1139\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T18:36:39Z","timestamp":1760121399000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2072-4292\/15\/4\/1139"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,2,19]]},"references-count":56,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2023,2]]}},"alternative-id":["rs15041139"],"URL":"https:\/\/doi.org\/10.3390\/rs15041139","relation":{},"ISSN":["2072-4292"],"issn-type":[{"value":"2072-4292","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,2,19]]}}}