Phasing of Satellites in a Single Orbital Plane: A Lyapunov Control Approach
Translated title
Phasing of Satellites in a Single Orbital Plane
Authors
Nielsen, Michael Juul ; Wesenberg, Jacob
Term
4. term
Education
Publication year
2020
Submitted on
2020-06-04
Pages
97
Abstract
Projektet havde til formål at faseinddele en gruppe satellitter i samme baneplan—så de holdes jævnt fordelt—som led i MARIOT, der udvikler et satellitbaseret maritimt IoT-netværk med VDES-kommunikation. Først blev der lavet en problemanalyse af forhold, der påvirker en satellit i bane: baneparametre, manøvrerings-/aktueringsmetoder, antennekrav samt et overblik over eksisterende kommunikationskonstellationer. Derefter blev den relative bevægelse mellem to satellitter beskrevet med kinematik og dynamik, inklusive modeller for gravitationelle forstyrrelser og atmosfærisk luftmodstand, som blev verificeret med simulationsværktøjet AGI STK. Tre styringsalgoritmer—PD, LQR og Lyapunov—blev implementeret og testet i MATLAB/Simulink for at føre satellitterne mod og fastholde den ønskede relative konfiguration (referencen). PD-regulatoren var stabil, når systemet var langt fra referencen; LQR-regulatoren var stabil tæt på referencen; og Lyapunov-regulatoren var stabil i hele området. Lyapunov-styringen forblev også stabil, når luftmodstand blev inkluderet. Implementeringen blev vurderet som vellykket.
The project set out to phase a group of satellites in a single orbital plane—keeping them evenly spaced—within MARIOT, which aims to build a satellite-based maritime IoT network using VDES communication. We began with a problem analysis of factors that affect a satellite in orbit: orbital parameters, actuation/maneuvering methods, antenna requirements, and a survey of existing communication constellations. We then defined the relative motion between two satellites (kinematics and dynamics), including models of gravitational disturbances and atmospheric drag, and verified these models with the AGI STK simulation tool. Three control algorithms—PD, LQR, and Lyapunov—were implemented and tested in MATLAB/Simulink to drive satellites toward and maintain the desired relative configuration (the reference). The PD controller was stable when the system was far from the reference, the LQR controller was stable near the reference, and the Lyapunov controller was stable throughout. The Lyapunov control also remained stable when drag was included. Overall, the implementation was successful.
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