CEAS EuroGNC 2024
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Control design for rendezvous operation near Halo Orbits using Lyapunov-Floquet theory and AUTO
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| Joaquin G. López-Cepero |
MSc Student, Universidad de Sevilla, Department of Applied Mathematics, 41092, Seville, Spain. | | Jorge Galan-Vioque |
Professor, Universidad de Sevilla, Department of Applied Mathematics, 41092, Seville, Spain. | | Rafael Vazquez |
Professor, Universidad de Sevilla, Department of Aerospace Engineering, 41092, Seville, Spain. |
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| Abstract:
This work investigates the design of an impulsive controller for rendezvous operation near periodic Halo Orbits using the Lyapunov-Floquet theory. Using the Circular Restricted Three-Body Problem (CR3BP), a framework extensively discussed in the literature, a numerical continuation via AUTO 07P is employed to develop the bifurcation diagram for the H1 family of Halo orbits. Then, the Lyapunov-Floquet transformation enables the conversion of the periodic Linear Time Variant (LTV) system, derived from the linearization of the equations of motion, into an analytical solution which takes the form of an exponential for all time instances, thereby simplifying the design process for the controller. An impulsive control strategy is adopted for evaluating the performance of this approach, culminating in the development and testing of a simple LQR controller, to have an initial assessment of its efficacy compared with previous approaches.
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| Keywords: Spacecraft rendezvous; Halo orbits; Floquet theory; LQR |
 View PDF CEAS-GNC-2024-018 |
| Joaquin G. López-Cepero, Jorge Galan-Vioque, Rafael Vazquez: Control design for rendezvous operation near Halo Orbits using Lyapunov-Floquet theory and AUTO. Proceedings of the 2024 CEAS EuroGNC conference. Bristol, UK. June 2024. CEAS-GNC-2024-018.
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| BibTeX entry:
@Incollection{CEAS-GNC-2024-018,
author = {López-Cepero, Joaquin G. and Galan-Vioque, Jorge and Vazquez, Rafael},
title = {Control design for rendezvous operation near Halo Orbits using Lyapunov-Floquet theory and AUTO},
booktitle = {Proceedings of the 2024 {CEAS EuroGNC} conference},
address = {Bristol, UK},
month = jun,
year = {2024},
note = {CEAS-GNC-2024-018}
}
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