Spacecraft maneuver detection using optimal control theory and equations of relative motion
Dutta, Atri; Raquepas, Joseph B. Spacecraft maneuver detection using optimal control theory and equations of relative motion. Advances in the Astronautical Sciences, v. 167:pp 3089-3105
In this paper, we investigate the spacecraft maneuver detection problem by considering an optimal control formulation, in which we minimize the control effort subject to the Hill-Clohessy-Wiltshire equations of relative motion. The control effort is measured by the Lp norm of the control variables. Necessary conditions of optimality are investigated to analytically compare the performance of L1 and L2 norms. Both deterministic and stochastic formulations for the optimal control problem are considered. Using numerical simulations, we compare the performance of the proposed formulations in determining high- and low-thrust maneuvers.