Abstract
This study focuses on eliminating unknown amplitude wind disturbance for 2-DOF alt-azimuth configuration small telescopes. An adaptive controller is designed to overcome wind disturbance as a set and forget system. The mathematical model is derived based on 2-DOF alt-azimuth configuration. The wind disturbance is modeled as a sum of sinusoidal with unknown amplitude, frequency and phase by using Wind-Gust model. The controller aims to cancel the effect of the disturbance on the altitude and azimuth angles of the telescope while positioning or staying static on a dedicated configuration. The asymptotic stability is proven with the Lyapunov approach. The numerical study is illustrated to success of the proposed controller.Resumen
Este estudio tiene como objetivo eliminar amplitudes desconocidas producidas como consecuencia de la per- turbación del viento que afecta a las monturas altazimutales en pequeños telescopios. Se ha diseñado un controlador adaptativo para minimizar este efecto. El modelo matemático se basa en la configuración altaz- imutal con 2 grados de libertad, modelándose la perturbación inducida por el viento como una sinusoide con amplitud, frecuencia y fase desconocidas utilizando un modelo de viento más ráfaga. El controlador tiene como objetivo cancelar el efecto de la perturbación en losángulos de altitud y azimut del telescopio mientraséste se posiciona o permanece estático en una configuración determinada. La estabilidad asintótica se demuestra con el enfoque de Lyapunov. El estudio numérico se muestra en relación aléxito del controlador propuesto.References
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