Trajectory tracking is one of the most important aspects of an unmanned aerial system (or quad-copter) for selecting the optimal path from the source to the destination. This article presents a mathematical framework and approach for addressing the challenge of nonlinear systems like quad-copter. A novel control system for the quad-copter’s positions $\left ({{z. y. https://countryscenesaddleryandpetsuppliers.shop/product-category/western-hats/