Abstract

Numerous ground-based observatories are using small sized ground telescopes for scientific research purposes. The telescopes that are available on the market have three main problems. These issues can be listed as: positioning repeatability, tuning requirement according to different wind speeds for different seasons, and the mass changing via different scientific equipments added to the telescope. This study is aimed at resolving these issues for ground based small alt-azimuth telescopes. Establishing of a set and forget system is performed by designing an adaptive controller. Motor dynamics are taken into consideration for a realistic mathematical model. The Wind-Gust model that consists of a sum of sinusoidal disturbances with unknown phase, amplitude and frequency is used for the wind model. The purposed controller cancels the disturbance effects on the plant while operational positioning and also the makes the plant insensitive to mass changes. The Lyapunov approach is utilised when proving the asymptotic stability. The proposed controller’s success is illustrated with thorough numerical evaluation.

Highlights

  • Space observations will always be important for the goal of space travels and discovering the mysteries of space

  • In order to observe space, optical telescopes, that can be grouped as ground based and space telescopes, play a vital role

  • Thanks to lack of atmosphere and associated atmospheric turbulence that introduces a performance degradation on gathered images, space telescopes provide a better image quality than ground based optical telescopes which are not equipped with Adaptive Optics systems

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Summary

Introduction

Space observations will always be important for the goal of space travels and discovering the mysteries of space. In order to observe space, optical telescopes, that can be grouped as ground based and space telescopes, play a vital role. Thanks to lack of atmosphere and associated atmospheric turbulence that introduces a performance degradation on gathered images (i.e. blurring of images, scintillation, etc), space telescopes provide a better image quality than ground based optical telescopes which are not equipped with Adaptive Optics systems. The fact that the space telescopes are much expensive to build and operate, ground based telescopes are preferred for industry and academia.

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