Generalized Polynomial Chaos Based Uncertainty Propagation for Perturbed Two-body Orbits

被引:0
|
作者
Cai, Wei-wei [1 ]
Huang, Huan [1 ]
Yang, Le-ping [1 ]
机构
[1] Natl Univ Def Technol, Coll Aeronaut & Astronaut, Changsha 410073, Peoples R China
来源
2018 IEEE CSAA GUIDANCE, NAVIGATION AND CONTROL CONFERENCE (CGNCC) | 2018年
基金
湖南省自然科学基金;
关键词
D O I
暂无
中图分类号
TP [自动化技术、计算机技术];
学科分类号
0812 ;
摘要
This paper presents a generalized polynomial chaos based computational methodology for the uncertainty propagation problem of the perturbed two-body orbits. The key idea is to approximate the solutions of the stochastic differential equation describing the perturbed orbits with linear expansions of a series of orthogonal polynomial bases. The main uncertainty sources in the dynamical equations were firstly analyzed, and then the non-intrusive generalized polynomial chaos technique was introduced to propagate the uncertainties for the consideration of estimation accuracy and computational efficiency. Numerical simulation results validate that the proposed algorithm is effective for non-Gaussian uncertainty analysis of nonlinear systems over a long duration, providing references for engineering applications.
引用
收藏
页数:6
相关论文
共 50 条
  • [21] Dynamic system uncertainty propagation using polynomial chaos
    Xiong Fenfen
    Chen Shishi
    Xiong Ying
    Chinese Journal of Aeronautics , 2014, (05) : 1156 - 1170
  • [22] Dynamic system uncertainty propagation using polynomial chaos
    Xiong Fenfen
    Chen Shishi
    Xiong Ying
    CHINESE JOURNAL OF AERONAUTICS, 2014, 27 (05) : 1156 - 1170
  • [23] Dynamic system uncertainty propagation using polynomial chaos
    Xiong, Fenfen, 1600, Chinese Journal of Aeronautics (27):
  • [24] On using polynomial chaos for modeling uncertainty in acoustic propagation
    Creamer, DB
    JOURNAL OF THE ACOUSTICAL SOCIETY OF AMERICA, 2006, 119 (04): : 1979 - 1994
  • [25] Uncertainty propagation in CFD using polynomial chaos decomposition
    Knio, O. M.
    Le Maitre, O. P.
    FLUID DYNAMICS RESEARCH, 2006, 38 (09) : 616 - 640
  • [26] Dynamic system uncertainty propagation using polynomial chaos
    Xiong Fenfen
    Chen Shishi
    Xiong Ying
    Chinese Journal of Aeronautics, 2014, 27 (05) : 1156 - 1170
  • [27] Generalized polynomial chaos for the convection diffusion equation with uncertainty
    Li, Ning
    Zhao, Jianping
    Feng, Xinlong
    Gui, Dongwei
    INTERNATIONAL JOURNAL OF HEAT AND MASS TRANSFER, 2016, 97 : 289 - 300
  • [28] Efficient uncertainty propagation for MAPOD via polynomial chaos-based Kriging
    Du, Xiaosong
    Leifsson, Leifur
    ENGINEERING COMPUTATIONS, 2020, 37 (01) : 73 - 92
  • [29] Uncertainty modeling of Burgers' equation by generalized polynomial chaos
    Xiu, Dongbin
    Karniadakis, George Em
    COMPUTATIONAL STOCHASTIC MECHANICS, 2003, : 655 - 661
  • [30] Uncertainty propagation in puff-based dispersion models using polynomial chaos
    Konda, Umamaheswara
    Singh, Tarunraj
    Singla, Puneet
    Scott, Peter
    ENVIRONMENTAL MODELLING & SOFTWARE, 2010, 25 (12) : 1608 - 1618