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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Autores principales: Juan Cristobal Alcaraz Tapia, Carlos E. Castañeda, Héctor Vargas-Rodríguez
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Lenguaje:EN
Publicado: MDPI AG 2021
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Acceso en línea:https://doaj.org/article/4122622671db449f996dad1809b485c9
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spelling 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)
institution DOAJ
collection DOAJ
language EN
topic Euler’s equations
attitude system
fluid rings
satellite
port-Hamiltonian system
Technology
T
spellingShingle 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
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