DLR-Logo -> http://www.dlr.de
DLR Portal Home | Imprint | Privacy Policy | Contact | Deutsch
Fontsize: [-] Text [+]

The Gnomonic Projection for B-Spline parameterized 4-D Trajectory Optimization Problems

Müller, Reiko (2020) The Gnomonic Projection for B-Spline parameterized 4-D Trajectory Optimization Problems. AIAA AVIATION 2020, 15.-19. Juni 2020, Virtuell. doi: 10.2514/6.2020-3205.

[img] PDF

Official URL: https://arc.aiaa.org/doi/10.2514/6.2020-3205


In aerospace related optimal control problems it is often convenient to parameterize the flight trajectory instead of aircraft control inputs (surface deflections or orientation w.r.t. airflow for instance). This allows to describe the problem with a smaller set of optimizer degrees of freedom, since the kinematical variables representing the trajectory change on a larger timescale and have a smoother shape. One example is the discretization with waypoint positions as parameters, which can then be adjusted by an optimizer to minimize one or multiple criteria. A small parameter set is desirable especially in scenarios with long trajectories (for example intercontinental flights), in order to avoid long computation times and convergence problems. In this work, a new approach for parameterization of such trajectories is presented, which applies the gnomonic projection for generation of shortest-path routes between waypoints. These trajectories feature on the one hand maneouvering phases during departure and approach, and on the other hand long and steady cruise segments, hence necessitating a variable density parameterization approach. Basis splines are first generated in the projected space, subsequently degree-elevated and finally transformed back to ellipsoidal coordinates for computation of derived variables. Ultimately, the method allows to generate realistic 4-D shortest-path trajectories with high continuity, which can be analytically evaluated at every timestep, to serve as reference inputs to a flight control system or an inverse aircraft model.

Item URL in elib:https://elib.dlr.de/138598/
Document Type:Conference or Workshop Item (Speech)
Title:The Gnomonic Projection for B-Spline parameterized 4-D Trajectory Optimization Problems
AuthorsInstitution or Email of AuthorsAuthor's ORCID iD
Müller, Reikoreiko.mueller (at) dlr.deUNSPECIFIED
Date:16 June 2020
Refereed publication:Yes
Open Access:Yes
Gold Open Access:No
In ISI Web of Science:No
DOI :10.2514/6.2020-3205
Keywords:Bahnoptimierung, Optimalsteuerung, Parametrierung, B-Splines
Event Title:AIAA AVIATION 2020
Event Location:Virtuell
Event Type:international Conference
Event Dates:15.-19. Juni 2020
Organizer:American Institute of Aeronautics and Astronautics
HGF - Research field:Aeronautics, Space and Transport
HGF - Program:Aeronautics
HGF - Program Themes:fixed-wing aircraft
DLR - Research area:Aeronautics
DLR - Program:L AR - Aircraft Research
DLR - Research theme (Project):L - Systems and Cabin (old)
Location: Oberpfaffenhofen
Institutes and Institutions:Institute of System Dynamics and Control > Aircraft System Dynamics
Deposited By: Müller, Reiko
Deposited On:02 Dec 2020 13:30
Last Modified:09 Dec 2020 09:48

Repository Staff Only: item control page

Help & Contact
electronic library is running on EPrints 3.3.12
Copyright © 2008-2017 German Aerospace Center (DLR). All rights reserved.