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SPARTAN: A Novel Pseudospectral Algorithm for Entry, Descent, and Landing Analysis

Sagliano, Marco and Theil, Stephan and D'Onofrio, Vincenzo and Bergsma, Michiel (2017) SPARTAN: A Novel Pseudospectral Algorithm for Entry, Descent, and Landing Analysis. In: 4th CEAS Eurognc Conference. 4th EuroGNC Conference, 2017-04-25 - 2017-04-27, Warsaw, Poland.

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In the last decades the theoretical development of more and more refined direct methods, together with a new generation of CPUs, led to a significant improvement of numerical approaches for solving optimal-control problems. One of the most promising class of methods is based on Pseudospectral Optimal Control. These methods not only provide an efficient algorithm to solve optimal-control problems, but also define a theoretical framework for linking the discrete numerical solution to the analytical one in virtue of the covector-mapping theorem. However, sveral aspects in their implementation can be refined. In this framework SPARTAN, the first European tool based on flipped Radau pseudospectral methods, has been developed. The tool, and the method behind it include two novel aspects. First, the discretized problem is automatically scaled with a novel technique, called Projected Rows Jacobian Normalization. This avoids ill-conditioned problems, which could lead to non-reliable solutions. Second, the structure of the Jacobian matrix is exploited, and the dual-number theory is used for its computation. This yields faster and more accurate solutions, since the associated Jacobian matrix computed in this way is exact. Two concrete examples show the validity of the proposed approach, and the quality of the results obtained with SPARTAN.

Item URL in elib:https://elib.dlr.de/112107/
Document Type:Conference or Workshop Item (Lecture)
Title:SPARTAN: A Novel Pseudospectral Algorithm for Entry, Descent, and Landing Analysis
AuthorsInstitution or Email of AuthorsAuthor's ORCID iDORCID Put Code
Sagliano, MarcoUNSPECIFIEDhttps://orcid.org/0000-0003-1026-0693UNSPECIFIED
Theil, StephanUNSPECIFIEDhttps://orcid.org/0000-0002-5346-8091UNSPECIFIED
D'Onofrio, VincenzoUNSPECIFIEDhttps://orcid.org/0000-0003-1026-0693UNSPECIFIED
Date:25 April 2017
Journal or Publication Title:4th CEAS Eurognc Conference
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
Keywords:Optimal Control, pseudospectral methods, trajectory optimization
Event Title:4th EuroGNC Conference
Event Location:Warsaw, Poland
Event Type:international Conference
Event Start Date:25 April 2017
Event End Date:27 April 2017
Organizer:The Council of European Aerospace Societies
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Space
HGF - Program Themes:Space Transportation
DLR - Research area:Raumfahrt
DLR - Program:R RP - Space Transportation
DLR - Research theme (Project):R - Fligthexperiment Newfex (old)
Location: Bremen
Institutes and Institutions:Institute of Space Systems > Navigation and Control Systems
Deposited By: Sagliano, Marco
Deposited On:03 May 2017 11:34
Last Modified:24 Apr 2024 20:16

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