I need to model a system for human motion. The following link shows for to build a system for a plane.
I am currently reading the documentation for a kalman filter library http://kalman.sourceforge.net/doc/example.html. I have an accurate position(x, y, z) of a person, but I need to shine a light on the person with a device that is not very fast so I need to predict where the person will be to keep the light on them.
I understand that for motion on the x-y plane a person motion can be modeled using the equation(I need to also account for the z-axis):
$$ S(t) = S(0) + V(0)*t + (1/2)*a(0)*t^2 $$
But I'm not sure how to build the state vector used for estimate $ \vec x $ using this information.
Note: I am currently using polynomial extrapolation with some degree of success.