Measures and LMI for impulsive optimal control with applications to space rendezvous problems
Measures and LMI for impulsive optimal control with applications to space rendezvous problems
This paper shows how to find lower bounds on, and sometimes solve globally, a large class of nonlinear optimal control problems with impulsive controls using semi-definite programming (SDP). This is done by relaxing an optimal control problem into a measure differential problem. The manipulation of the measures by their moments …