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.

许多地面天文台都将小型地面望远镜用于科学研究。市场上出售的望远镜存在三个主要问题。这些问题可以列为：定位重复性，根据不同季节的不同风速调整要求，以及通过添加到望远镜的不同科学设备进行质量变化。这项研究的目的是解决地面小型alt方位望远镜的这些问题。通过设计自适应控制器来执行建立和遗忘系统的建立。对于实际的数学模型，要考虑电机动力学。风-风模型由正弦扰动之和组成，该正弦扰动的相位，振幅和频率未知，用于风模型。专用控制器消除了操作定位时对设备的干扰影响，并使设备对质量变化不敏感。证明渐近稳定性时，采用Lyapunov方法。提出的控制器的成功通过详尽的数值评估得以说明。