how can I modelize a Quadrotor using neural networks

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Hello everyone;
I'am doing my PhD Thesis intitled "Diagnostic and neuronal predictive control fault tolerent of a Quadrotor", my actually task is How to modelize a Quadrotor using recurrent neural networks based on differential dynamic equations without data input / output beforehand. The model below is controlled with four controls [U1, U2, U3 and U4] to give the position and attitude statements and their velocities [roll, rollpoint, pitch, pitchpoint, yaw, yawpoint, x, xpoint, y, ypoint, z, zpoint]. [K1,......K6] are the aerodynamic constants of linear and rotational drag forces, the vector I=[Ix, Iy, Iz] is the inertial coefficients of drone and finally Jr is the inertial coefficient of each motor
How create these fonctions with multi-layer neurons and what is the type of suitable learning that i must follow it.
cordially.

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