Design of a Port-Hamiltonian Control for an Alt-Azimuth Liquid-Mirror Telescope

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AudienciaPúblico en generales_ES
CoberturaMéxicoes_ES
Fecha de ingreso2026-10-05T16:32:30Z
Fecha de publicación2023-01-01
ResumenIn this work, we design a control strategy to be applied in a port-Hamilton representation of a liquid-mirror telescope for an alt-azimuth configuration. Starting from a dynamical model for an alt-azimuth liquid-mirror telescope based on Lagrange mechanics, a transformation to the port-Hamilton form is made. Such a dynamical model is obtained by computing the kinetic and potential energy of the telescope and substituting them in the Euler-Lagrange equation of motion. Then, for the transformation to the port-Hamiltonian form, we obtain the relation between the Hamiltonian and the Lagrangian. The resulting open-loop model based on the Hamiltonian function is controlled using an extension of the interconnection and damping-assignment passivity-based control aiming for a robust and accurate steady behavior in the closed loop while tracking a star's position. For comparison purposes, two different control strategies are applied to the Lagrangian model, inverse-dynamics control and sliding mode super-twisting control. Since the light is collected by the principal mirror of the telescope while tracking a star, we make a description of the liquid mirror's behavior. The tracking star's position is described as a function of the observer's position and the star's coordinates as well as the date of observation. The simulations' results show that the port-Hamilton control has a good transitory and steady response as well as great accuracy competing with that of inverse-dynamics control but with greater robustness and no chattering drawback.es_ES
Doihttps://doi.org/10.3390/math11163443es_ES
URIhttps://riuat.uat.edu.mx/handle/123456789/4306
Idiomaenes_ES
EditorialMDPIes_ES
RelaciónMathematicses_ES
URL relacionadohttps://doi.org/10.3390/math11163443es_ES
DerechosAcceso abierto (Metadatos de producción científica)es_ES
Licenciahttp://purl.org/coar/access_right/c_abf2es_ES
FuenteMathematics
Palabra claveport-Hamiltonian controles_ES
Palabra claveliquid mirrores_ES
Palabra clavealt-azimuth telescopees_ES
Palabra clavestar trackinges_ES
TítuloDesign of a Port-Hamiltonian Control for an Alt-Azimuth Liquid-Mirror Telescopees_ES
TipoArtículoes_ES
ArbitradoHa sido Arbitradoes_ES
AutorTapia, Juan Cristobal Alcaraz
AutorCastaneda, Carlos E.
AutorVargas Rodriguez, Hector
AutorEsquivel, P.
AutorTapia, Juan Cristobal Alcarazes_ES
AutorCastaneda, Carlos E.es_ES
AutorVargas Rodriguez, Hectores_ES
AutorEsquivel, P.es_ES
InstituciónUniversidad Autónoma de Tamaulipas
InstituciónUniversidad Autónoma de Tamaulipases_ES
Número16es_ES
URL relacionadahttps://doi.org/10.3390/math11163443
Tipo de artículoIndexado
Tipo de artículoIndexadoes_ES
Volumen11es_ES

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