Nonlinear Optimal Control Theory

6 Nonlinear Optimal Control Theory

Here, the c omponents of the force F can be functions of y and v. This would

be the case if the motion takes place in a non-constant gravitational field and

if drag forces act on the rocket.

The control pro ble ms associated with the motion of the rocket are of the

following type. The burning rate control β and the thrust direction control

ω are to be chosen from the class of piecewise continuous functions (o r some

other appropriate class) in such a way that certa in of the variables t, y, v, m

attain specific terminal values. From among the controls that achieve these

values, the control that maximizes (or minimizes) a given function of the

remaining terminal values is to be determined. In other problems, an integral ...