Abstract
Atmospheric pressure on Mars is approximately 1 % of that on Earth and varies about 15 % during the year due to condensation and sublimation of its primarily CO\(_2\) atmosphere. Impacts of the uncertainties during the entry are difficult to be modeled. The situation becomes more complex when uncertainties are from different disciplines. In this work, a robust multi-disciplinary optimization method for Mars microentry probe design under epistemic uncertainties is presented. Objectives of the evidence-based robust design are set to minimize the interior temperature of thermal protection systems (TPS) and maximize its belief value under uncertainties. A population-based multi-objective estimation of distribution algorithm (MOEDA) is designed for searching the robust Pareto set. Candidate solutions are adaptively clustered into groups. In each group, principal component analysis (PCA) technique is performed to estimate population distribution, sample and reproduce individuals. Non-dominated individuals are sorted and selected through the NSGA-II-like selection procedure. Adaptive sampling and binary branching techniques are employed for computing the evidence belief functions. PCA dimensionality reduction technique is implemented for identifying and removing uncertain boxes with little contribution of the beliefs. With variable fidelity model management, analytical aerodynamic model is used first to initialize the optimization searching direction. Artificial neural network (ANN) surrogate model is used for reducing the computational cost. When the optimization goes close to the optima, more data from the high accuracy model are put into the aerodynamic database, making the optimization procedure converge on optima quickly while keeping high-level accuracy.
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References
Agarwal, H., Renaud, J.E., Preston, E.L., Padmanabhan, D.: Uncertainty quantification using evidence theory in multidisciplinary design optimization. Reliab. Eng. Syst. Saf. 85(1), 281–294 (2004)
Amar, A.J., Blackwell, B.F., Edwards, J.R.: One-dimensional ablation using a full newton’s method and finite control volume procedure. J. Thermophys. Heat Transf. 22(1), 71–82 (2008)
Anderson, J.D.: Hypersonic and High Temperature Gas Dynamics. AIAA (2000)
Balesdent, M., Bérend, N., Dépincé, P.: Stagewise multidisciplinary design optimization formulation for optimal design of expendable launch vehicles. J. Spacecr. Rocket 49(4), 720–730 (2012)
Cheng, Q.S., Bandler, J.W., Koziel, S.: Combining coarse and fine models for optimal design. IEEE Microw. Mag. 9(1), 79–88 (2008)
Croisard, N., Vasile, M., Kemble, S., Radice, G.: Preliminary space mission design under uncertainty. Acta Astronaut. 66(5), 654–664 (2010)
Deb, K., Pratap, A., Agarwal, S., Meyarivan, T.: A fast and elitist multiobjective genetic algorithm: NSGA-II. IEEE Trans. Evol. Comput. 6(2), 182–197 (2002)
Deb, K., Gupta, S., Daum, D., Branke, J., Mall, A.K., Padmanabhan, D.: Reliability-based optimization using evolutionary algorithms. IEEE Trans. Evol. Comput. 13(5), 1054–1074 (2009)
Desai, P.N., Knocke, P.C.: Mars exploration rovers entry, descent, and landing trajectory analysis. In: AIAA/AAS Astrodynamics Specialist Conference and Exhibit, pp. 16–19 (2004)
Dufresne, S., Johnson, C., Mavris, D.N.: Variable fidelity conceptual design environment for revolutionary unmanned aerial vehicles. J. Aircr. 45(4), 1405–1418 (2008)
Emmerich, M., Naujoks, B.: Metamodel-assisted multiobjective optimization with implicit constraints and its application in airfoil design. In: International Conference & Advanced Course ERCOFTAC, Athens, Greece (2004)
Frey, B.J., Dueck, D.: Clustering by passing messages between data points. Sci. 315(5814), 972–976 (2007)
Hankey, W.L.: Re-entry Aerodynamics. AIAA (1988)
Hartleib, G.: Tpsx materials properties database. NASA, http://tpsx. arc. nasa. gov
Huang, C.H., Galuski, J., Bloebaum, C.L.: Multi-objective pareto concurrent subspace optimization for multidisciplinary design. AIAA J. 45(8), 1894–1906 (2007)
Koziel, S., Ogurtsov, S.: Robust multi-fidelity simulation-driven design optimization of microwave structures. In: Microwave Symposium Digest (MTT), 2010 IEEE MTT-S International, pp. 201–204. IEEE (2010)
Lantoine, G., Russell, R.P.: A hybrid differential dynamic programming algorithm for robust low-thrust optimization. In: AAS/AIAA Astrodynamics Specialist Conference and Exhibit (2008)
Limbourg, P.: Multi-objective optimization of problems with epistemic uncertainty. In: Evolutionary Multi-Criterion Optimization, pp. 413–427. Springer, New York (2005)
Mitcheltree, R., DiFulvio, M., Horvath, T., Braun, R.: Aerothermal heating predictions for mars microprobe. AIAA Paper (98-0170) (1998)
Mueller, J.B., Larsson, R.: Collision avoidance maneuver planning with robust optimization. In: International ESA Conference on Guidance, Navigation and Control Systems, Tralee, County Kerry, Ireland (2008)
Nguyen, N.V., Choi, S.M., Kim, W.S., Lee, J.W., Kim, S., Neufeld, D., Byun, Y.H.: Multidisciplinary unmanned combat air vehicle system design using multi-fidelity model. Aerospace Science and Technology (2012)
Oberkampf, W., Helton, J.C.: Investigation of evidence theory for engineering applications. In: Non-Deterministic Approaches Forum, 43rd AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference, pp. 2002–1569 (2002)
Ravanbakhsh, A., Mortazavi, M., Roshanian, J.: Multidisciplinary design optimization approach to conceptual design of a leo earth observation microsatellite. In: proceeding of AIAA SpaceOps2008 Conference (2008)
Roncoli, R.B., Ludwinski, J.M.: Mission design overview for the mars exploration rover mission. In: 2002 Astrodynamics Specialist Conference (2002)
Roshanian, J., Jodei, J., Mirshams, M., Ebrahimi, R., Mirzaee, M.: Multi-level of fidelity multi-disciplinary design optimization of small, solid-propellant launch vehicles. Trans. Jpn. Soc. Aeronaut. Space Sci. 53(180), 73–83 (2010)
Saleh, J.H., Mark, G., Jordan, N.C.: Flexibility: a multi-disciplinary literature review and a research agenda for designing flexible engineering systems. J. Eng. Des. 20(3), 307–323 (2009)
Vasile, M.: Robust mission design through evidence theory and multiagent collaborative search. Ann. New York Acad. Sci. 1065(1), 152–173 (2005)
Vasile, M., Minisci, E., Wijnands, Q.: Approximated computation of belief functions for robust design optimization. In: 14th AAA on-Deterministic Approaches Conference (2012) arXiv:1207.3442
Vinh, N.X., Busemann, A., Culp, R.D.: Hypersonic and Planetary Entry Flight Mechanics. NASA STI/Recon Technical Report A 81, 16,245 (1980)
Zhang, Q., Zhou, A., Jin, Y.: Rm-meda: a regularity model-based multiobjective estimation of distribution algorithm. IEEE Trans. Evol. Comput. 12(1), 41–63 (2008)
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Hou, L., Cai, Y., Li, J. (2017). Evidence-Based Multi-disciplinary Robust Optimization for Mars Microentry Probe Design. In: Emmerich, M., Deutz, A., Schütze, O., Legrand, P., Tantar, E., Tantar, AA. (eds) EVOLVE – A Bridge between Probability, Set Oriented Numerics and Evolutionary Computation VII. Studies in Computational Intelligence, vol 662. Springer, Cham. https://doi.org/10.1007/978-3-319-49325-1_7
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