This research paper deals with the methods of designing of an unmanned aero-amphibious vehicle finally allowing its manufacture. The design does not includes only the structure and electronics circuit but also the control design that mainly consists of mathematical modeling of the control system. Aero-amphibious vehicle is a vehicle that has the potential to fly as well as to swim inside the water. So, the mathematical model would be more complex than the general quad copters or drones that fly these days. This mathematical model of aero-amphibious vehicle helps develop the autopilot control codes by converting them into transfer function and by applying the control laws. Structural design and electronic circuit design of this unmanned aerial vehicle were also presented in brief in this paper so that it would be easy to frame equations for the mathematical modeling. In order to justify the structural and electronic design, their constraints and limitations were also explained in this research paper. In the mathematical modeling part, different equations were solved using different methods and those methods were also demonstrated in this research paper.
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