guidance, flight mechanics and trajectory optimization

Now, introducing the variables
qs2, = 0
and letting 5 denote the ,? vector
E(Fr c*& (7,) = al (t - 1)
x, = y
er
%a= 7
F= U
where $ is identically zero; equivalently, < is a Gaussian white
noise with zero mean and zero variance. Under this change of variables,
the system equation becomes
Now, the performance index is defined to be
It is observed that this problem attempts .to keep the expected value
of a combined measure of the fuel and angular displacement and rate errors
as small as possible.
112