Feedback Optimal Control of Low-thrust Orbit Transfer in Central Gravity Field
International Journal of Advanced Computer Science and Applications(IJACSA), (2013)Abstract
Low-thrust trajectories with variable radial thrust is studied
in this paper. The problem is tackled by solving the Hamilton-
Jacobi-Bellman equation via State Dependent Riccati Equation(
STDE) technique devised for nonlinear systems. Instead
of solving the two-point boundary value problem in which the
classical optimal control is stated, this technique allows us to
derive closed-loop solutions. The idea of the work consists
in factorizing the original nonlinear dynamical system into
a quasi-linear state dependent system of ordinary differential
equations. The generating function technique is then applied
to this new dynamical system, the feedback optimal control is
solved. We circumvent in this way the problem of expanding
the vector field and truncating higher-order terms because no
remainders are lost in the undertaken approach. This technique
can be applied to any planet-to-planet transfer; it has been
applied here to the Earth-Mars low-thrust transfer.