Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System
In this article, we propose a mathematical model using the port-Hamiltonian formalism for a satellite’s three-axis attitude system comprising fluid rings. Fluid rings are an alternative to reaction wheels used for the same purpose, since, for the same mass, they can exert a greater torque than a rea...
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2021
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oai:doaj.org-article:4122622671db449f996dad1809b485c92021-11-11T15:44:38ZPort-Hamiltonian Mathematical Model of a Fluid Ring Attitude System10.3390/en142169061996-1073https://doaj.org/article/4122622671db449f996dad1809b485c92021-10-01T00:00:00Zhttps://www.mdpi.com/1996-1073/14/21/6906https://doaj.org/toc/1996-1073In this article, we propose a mathematical model using the port-Hamiltonian formalism for a satellite’s three-axis attitude system comprising fluid rings. Fluid rings are an alternative to reaction wheels used for the same purpose, since, for the same mass, they can exert a greater torque than a reaction wheel as the fluid can circulate the periphery of the satellite. The port-Hamiltonian representation lays the foundation for a posterior controller that is feasible, stable, and robust based on the interconnection of the system to energy shaping and/or damping injection components, and by adding energy routing controllers. The torques exerted by the fluid rings are modeled using linear regression analysis on the experimental data got from a prototype of a fluid ring. Since the dynamics of turbulent flows is complex, the torques obtained by the prototype lead to a simpler first approach, leaving its uncertainties to a controller. Thus, the attitude system model could be tested in a future prototype before considering a spatial environment.Juan Cristobal Alcaraz TapiaCarlos E. CastañedaHéctor Vargas-RodríguezMDPI AGarticleEuler’s equationsattitude systemfluid ringssatelliteport-Hamiltonian systemTechnologyTENEnergies, Vol 14, Iss 6906, p 6906 (2021) |
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Euler’s equations attitude system fluid rings satellite port-Hamiltonian system Technology T |
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Euler’s equations attitude system fluid rings satellite port-Hamiltonian system Technology T Juan Cristobal Alcaraz Tapia Carlos E. Castañeda Héctor Vargas-Rodríguez Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System |
description |
In this article, we propose a mathematical model using the port-Hamiltonian formalism for a satellite’s three-axis attitude system comprising fluid rings. Fluid rings are an alternative to reaction wheels used for the same purpose, since, for the same mass, they can exert a greater torque than a reaction wheel as the fluid can circulate the periphery of the satellite. The port-Hamiltonian representation lays the foundation for a posterior controller that is feasible, stable, and robust based on the interconnection of the system to energy shaping and/or damping injection components, and by adding energy routing controllers. The torques exerted by the fluid rings are modeled using linear regression analysis on the experimental data got from a prototype of a fluid ring. Since the dynamics of turbulent flows is complex, the torques obtained by the prototype lead to a simpler first approach, leaving its uncertainties to a controller. Thus, the attitude system model could be tested in a future prototype before considering a spatial environment. |
format |
article |
author |
Juan Cristobal Alcaraz Tapia Carlos E. Castañeda Héctor Vargas-Rodríguez |
author_facet |
Juan Cristobal Alcaraz Tapia Carlos E. Castañeda Héctor Vargas-Rodríguez |
author_sort |
Juan Cristobal Alcaraz Tapia |
title |
Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System |
title_short |
Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System |
title_full |
Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System |
title_fullStr |
Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System |
title_full_unstemmed |
Port-Hamiltonian Mathematical Model of a Fluid Ring Attitude System |
title_sort |
port-hamiltonian mathematical model of a fluid ring attitude system |
publisher |
MDPI AG |
publishDate |
2021 |
url |
https://doaj.org/article/4122622671db449f996dad1809b485c9 |
work_keys_str_mv |
AT juancristobalalcaraztapia porthamiltonianmathematicalmodelofafluidringattitudesystem AT carlosecastaneda porthamiltonianmathematicalmodelofafluidringattitudesystem AT hectorvargasrodriguez porthamiltonianmathematicalmodelofafluidringattitudesystem |
_version_ |
1718434080088915968 |