Whittle, Lisa und Sagliano, Marco (2018) Stochastic Optimal Trajectory Generation via Multivariate Polynomial Chaos. In: AIAA Guidance, Navigation, and Control Conference. AIAA Guidance, Navigation, and Control Conference, 2018-01-08 - 2018-01-12, Kissimmee, USA. doi: 10.2514/6.2018-0849.
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Offizielle URL: https://arc.aiaa.org/doi/pdf/10.2514/6.2018-0849
Kurzfassung
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.
elib-URL des Eintrags: | https://elib.dlr.de/118315/ | ||||||
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Dokumentart: | Konferenzbeitrag (Vorlesung) | ||||||
Titel: | Stochastic Optimal Trajectory Generation via Multivariate Polynomial Chaos | ||||||
Autoren: |
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Datum: | Januar 2018 | ||||||
Erschienen in: | AIAA Guidance, Navigation, and Control Conference | ||||||
Open Access: | Ja | ||||||
In SCOPUS: | Ja | ||||||
In ISI Web of Science: | Nein | ||||||
DOI: | 10.2514/6.2018-0849 | ||||||
Stichwörter: | Stochastic Control, Polynomial Chaos, Pseudospectral methods, Optimal Control | ||||||
Veranstaltungstitel: | AIAA Guidance, Navigation, and Control Conference | ||||||
Veranstaltungsort: | Kissimmee, USA | ||||||
Veranstaltungsart: | internationale Konferenz | ||||||
Veranstaltungsbeginn: | 8 Januar 2018 | ||||||
Veranstaltungsende: | 12 Januar 2018 | ||||||
DLR - Schwerpunkt: | Raumfahrt | ||||||
DLR - Forschungsgebiet: | R RP - Raumtransport | ||||||
Standort: | Bremen | ||||||
Institute & Einrichtungen: | Institut für Raumfahrtsysteme > Navigations- und Regelungssysteme |
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