Uncertainty quantification for mars atmospheric entry using modified generalized polynomial chaos

Xiuqiang Jiang, Shuang Li, Roberto Furfaro

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

This paper presents a novel computational approach for quantifying the propagation of the uncertainties in the state trajectories of low-lift Mars entry vehicle. The unique contribution of this work is twofold: one is considering the change of stochastic characteristics due to the high nonlinearity of Mars entry dynamics to improve propagation accuracy, and the other is suppressing the increase of equation dimension in long-term integration to enhance computational efficiency. Generalized polynomial chaos is modified accordingly through conducting spectral decomposition and random space decomposition adaptively. In this framework, stochastic dynamics is modeled and transformed into equivalent deterministic dynamics in higher-dimensional space and is updated adaptively when the statistic characteristic of system state changes greatly. The random space is decomposed adaptively when the relative error in variance becomes larger than the predefined threshold. In each random sub-domain, the updated generalized polynomial chaos is employed. We demonstrate that the proposed method is able to quantify propagation of uncertainty effectively in Mars atmospheric entry dynamics, with a better accuracy level than generalized polynomial chaos and much more computational efficiency than Monte-Carlo simulations. Meanwhile, the influences and the evolution profiles of the initial and parametric uncertainties during Mars entry are revealed through parametric studies.

Original languageEnglish (US)
Title of host publicationAAS/AIAA Astrodynamics Specialist Conference, 2018
EditorsBrandon A. Jones, Puneet Singla, Belinda G. Marchand, Ryan M. Weisman
PublisherUnivelt Inc.
Pages1677-1696
Number of pages20
ISBN (Print)9780877036579
StatePublished - Jan 1 2018
EventAAS/AIAA Astrodynamics Specialist Conference, 2018 - Montreal, Canada
Duration: Aug 19 2018Aug 23 2018

Publication series

NameAdvances in the Astronautical Sciences
Volume167
ISSN (Print)0065-3438

Conference

ConferenceAAS/AIAA Astrodynamics Specialist Conference, 2018
CountryCanada
CityMontreal
Period8/19/188/23/18

Fingerprint

atmospheric entry
chaotic dynamics
Chaos theory
mars
chaos
Mars
polynomials
entry
Polynomials
Computational efficiency
propagation
decomposition
Decomposition
atmospheric dynamics
nonlinearity
vehicles
trajectory
Trajectories
Statistics
statistics

ASJC Scopus subject areas

  • Aerospace Engineering
  • Space and Planetary Science

Cite this

Jiang, X., Li, S., & Furfaro, R. (2018). Uncertainty quantification for mars atmospheric entry using modified generalized polynomial chaos. In B. A. Jones, P. Singla, B. G. Marchand, & R. M. Weisman (Eds.), AAS/AIAA Astrodynamics Specialist Conference, 2018 (pp. 1677-1696). (Advances in the Astronautical Sciences; Vol. 167). Univelt Inc..

Uncertainty quantification for mars atmospheric entry using modified generalized polynomial chaos. / Jiang, Xiuqiang; Li, Shuang; Furfaro, Roberto.

AAS/AIAA Astrodynamics Specialist Conference, 2018. ed. / Brandon A. Jones; Puneet Singla; Belinda G. Marchand; Ryan M. Weisman. Univelt Inc., 2018. p. 1677-1696 (Advances in the Astronautical Sciences; Vol. 167).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Jiang, X, Li, S & Furfaro, R 2018, Uncertainty quantification for mars atmospheric entry using modified generalized polynomial chaos. in BA Jones, P Singla, BG Marchand & RM Weisman (eds), AAS/AIAA Astrodynamics Specialist Conference, 2018. Advances in the Astronautical Sciences, vol. 167, Univelt Inc., pp. 1677-1696, AAS/AIAA Astrodynamics Specialist Conference, 2018, Montreal, Canada, 8/19/18.
Jiang X, Li S, Furfaro R. Uncertainty quantification for mars atmospheric entry using modified generalized polynomial chaos. In Jones BA, Singla P, Marchand BG, Weisman RM, editors, AAS/AIAA Astrodynamics Specialist Conference, 2018. Univelt Inc. 2018. p. 1677-1696. (Advances in the Astronautical Sciences).
Jiang, Xiuqiang ; Li, Shuang ; Furfaro, Roberto. / Uncertainty quantification for mars atmospheric entry using modified generalized polynomial chaos. AAS/AIAA Astrodynamics Specialist Conference, 2018. editor / Brandon A. Jones ; Puneet Singla ; Belinda G. Marchand ; Ryan M. Weisman. Univelt Inc., 2018. pp. 1677-1696 (Advances in the Astronautical Sciences).
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