Hi Islam
I agree with your equation for alphadot, but not the notation. By standard convention (at least what I'm familiary with), u is the component of the velocity vector along the x-axis of the body frame, not the wind frame. By definition, the component of the velocity vector alone the x-axis of the wind frame is the velocity vector. So I would write the equation as
Here, V(t) is the magnitude of the velocity vector and A_zw(t) is the component of the inertial accelaration along the z-axis of the wind axes.
If I followed the model correctly, the signal called Vw should just be [V(t) 0 0].
I agree with you that the the transpose block is an error.
There is also another error. The signal called Ab is NOT the inertial acceleration vector resolved in the body axes. According to the documentation Ab = [udot 0 wdot], which is not what we want. So even if you delete the transpose block, the alpha_dot signal will still be incorrect. Probably not by much, but incorrect. To correct this error you'd have to get the optional output from the 3DOF block, which is the inertial acceleration in inertial (earth) coordinates, and then resolve that into body coordinates and use the result as the input to the "calc alpha_dot" block, instead of Ab.
