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I hope this is the correct forum section to post this in.

I heard about this problem from a youtube video but I've not been able to simulate it because the video was meant only for an introduction into PID control.

Here's the problem:

A remote control helicopter is hovering just above the ground (0 m). It is desired that the helicopter hover at 50 m. Develop a transfer function that takes an input from the controller and outputs height in meters. The measurement block has negligible dynamics (Gm=Km=1).

What assumptions are necessary?

~~~

My assessment:

The function could be something like dp/dt = Fl(t) - Fg

where p is linear momentum in kg*m/s, Fl is lift force in N (or kg*m/s^2) and Fg is force due to gravity in N.

I need to develop a transfer function that might be in the form H(s)/Fl(s) but i'm not sure how to get there from my differential eqn.

Any help is much appreciated!

-thoraxepi