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A Constrained Inverse Modeling Approach for Trajectory Optimization

Müller, Reiko and Looye, Gertjan (2013) A Constrained Inverse Modeling Approach for Trajectory Optimization. In: AIAA Guidance, Navigation, and Control Conference. American Institute of Aeronautics and Astronautics. AIAA Guidance, Navigation, and Control Conference, 19. - 22. August, Boston (MA), Vereinigte Staaten von Amerika. ISBN 978 1 62410 224 0

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Official URL: http://dx.doi.org/10.2514/6.2013-4762

Abstract

In aircraft trajectory optimization, modeling almost always relies on the usage of standard (forward) three- or more degrees of freedom equations of motion for the aircraft. The usual practice for simulating the trajectories is either to continuously trim the aircraft along the desired flight path and speed profile, and/or to use reduced point mass models that are defined in the vertical plane only. Alternative approaches became prominent in recent years, whereas in this paper the inverse modeling technique and an important extension to it is considered. First, inverse models have several advantages for trajectory optimization, the most important ones being the faster computation time and easy generation of start solutions, compared to standard forward models. In this work it is combined with speed- and flightpath- control loops to cancel the position error introduced during model integration. Still, an important problem remains: saturation limits and dynamics of the control systems used in the actual forward model are normally not considered when inverting the model equations, therefore losing the information of the limitations of the aircraft. In the presented case, the inversion becomes invalid, when the aircraft thrust is outside of the limits due to the commands of the inverse model inputs. This problem is addressed in the model by a pseudo-control-hedging (PCH) approach for altitude and velocity commands. By this means the inverse model inputs are automatically altered depending on the error between commanded and available thrust and the generated trajectory is rendered flyable.

Item URL in elib:https://elib.dlr.de/84083/
Document Type:Conference or Workshop Item (Speech)
Title:A Constrained Inverse Modeling Approach for Trajectory Optimization
Authors:
AuthorsInstitution or Email of AuthorsAuthors ORCID iD
Müller, ReikoReiko.Mueller (at) DLR.deUNSPECIFIED
Looye, Gertjangertjan.looye (at) dlr.deUNSPECIFIED
Date:19 August 2013
Journal or Publication Title:AIAA Guidance, Navigation, and Control Conference
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In SCOPUS:No
In ISI Web of Science:Yes
Publisher:American Institute of Aeronautics and Astronautics
ISBN:978 1 62410 224 0
Status:Published
Keywords:Trajectory optimization, Model inversion
Event Title:AIAA Guidance, Navigation, and Control Conference
Event Location:Boston (MA), Vereinigte Staaten von Amerika
Event Type:international Conference
Event Dates:19. - 22. August
Organizer:American Institute of Aeronautics and Astronautics, Inc.
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:Aircraft Research (old)
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems & Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of System Dynamics and Control > Aircraft System Dynamics
Deposited By: Müller, Reiko
Deposited On:30 Sep 2013 11:21
Last Modified:31 Jul 2019 19:42

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