Conjugate unscented transformation based approach to compute higher order state transition matrix for nonlinear dynamic systems: Applications to uncertainty propagation

Taewook Lee, Puneet Singla, Manoranjan Majji

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

Abstract

In this paper, Conjugated Unscented Transformation (CUT) based approach is presented to compute higher order state transition matrices in a derivative free manner and a computationally attractive manner. The proposed approach is non-intrusive in nature and is similar to stochastic collocation methods. The connection between stochastic collocation methods, geometric series methods and the conventional higher order state transition matrix approach are discussed. The computed state transition matrices are valid over the desired domain represented by a probability density function rather than valid along a single trajectory of a dynamical system. Benchmark problems corresponding to uncertainty propagation are considered to demonstrate the numerical efficiency and accuracy of the proposed ideas.

Original languageEnglish (US)
Title of host publicationASTRODYNAMICS 2017
EditorsJohn H. Seago, Nathan J. Strange, Daniel J. Scheeres, Jeffrey S. Parker
PublisherUnivelt Inc.
Pages2913-2936
Number of pages24
ISBN (Print)9780877036456
StatePublished - 2018
EventAAS/AIAA Astrodynamics Specialist Conference, 2017 - Stevenson, United States
Duration: Aug 20 2017Aug 24 2017

Publication series

NameAdvances in the Astronautical Sciences
Volume162
ISSN (Print)0065-3438

Other

OtherAAS/AIAA Astrodynamics Specialist Conference, 2017
Country/TerritoryUnited States
CityStevenson
Period8/20/178/24/17

All Science Journal Classification (ASJC) codes

  • Aerospace Engineering
  • Space and Planetary Science

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