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Stochastic Optimal Trajectory Generation via Multivariate Polynomial Chaos

Whittle, Lisa and Sagliano, Marco (2018) Stochastic Optimal Trajectory Generation via Multivariate Polynomial Chaos. In: AIAA Guidance, Navigation, and Control Conference. AIAA Guidance, Navigation, and Control Conference, 08-12 Jan 2018, Kissimmee, USA. DOI: 10.2514/6.2018-0849

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Official URL: https://arc.aiaa.org/doi/pdf/10.2514/6.2018-0849

Abstract

This paper presents a framework that has been developed to compute stochastic optimal trajectories. This is done by transforming the initial set of stochastic ordinary di�erential equations into their deterministic equivalent by application of Multivariate Polynomial Chaos. Via Galerkin projection, it is possible to include stochastic information in the optimal-trajectory generation process, and to solve the corresponding Optimal Control Problem via pseudospectral methods. The resultant trajectory is less sensitive to the uncertainties included in the analysis, e.g., those present in system parameters or initial conditions. The accurate, yet computationally e�cient manner in which solutions are obtained is demonstrated; a comparison with deterministic results show the bene�ts of the proposed approach for a linear and a non-linear problem.

Item URL in elib:https://elib.dlr.de/118315/
Document Type:Conference or Workshop Item (Lecture)
Title:Stochastic Optimal Trajectory Generation via Multivariate Polynomial Chaos
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Whittle, LisaUNSPECIFIEDUNSPECIFIED
Sagliano, MarcoMarco.Sagliano (at) dlr.dehttps://orcid.org/0000-0003-1026-0693
Date:January 2018
Journal or Publication Title:AIAA Guidance, Navigation, and Control Conference
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:Yes
In ISI Web of Science:No
DOI :10.2514/6.2018-0849
Status:Published
Keywords:Stochastic Control, Polynomial Chaos, Pseudospectral methods, Optimal Control
Event Title:AIAA Guidance, Navigation, and Control Conference
Event Location:Kissimmee, USA
Event Type:international Conference
Event Dates:08-12 Jan 2018
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Transport
DLR - Research area:Raumfahrt
DLR - Program:R RP - Raumtransport
DLR - Research theme (Project):Re-usability Flight Experiment (ReFEx)
Location: Bremen
Institutes and Institutions:Institute of Space Systems > Navigation and Control Systems
Deposited By: Sagliano, Marco
Deposited On:24 Jan 2018 10:22
Last Modified:31 Jul 2019 20:15

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