In this paper, the most optimal motion control and planning for a two-dimensional flying machine will be explored. A quadrotor will be taken as an example of a two-dimensional flying machine for examination, and all aspects of forces acting on the quadrotor are taken into consideration within the control algorithm in order towards achieving stable and optimal flight. On-off Controls and Proportional Controls are implemented through python programming and are visually graphed to provide guidance on evaluation of functionality. Finally, future applications of proportional algorithms will be discussed.
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