Title :
Stationkeeping of an L/sub 2/ libration point satellite with /spl theta/-D technique
Author :
Xin, Ming ; Dancer, M.W. ; Balakrishnan, S.N. ; Pernicka, H.J.
Author_Institution :
Dept. of Mech. & Aerosp. Eng., Missouri Univ., Rolla, MO, USA
fDate :
June 30 2004-July 2 2004
Abstract :
A new method for L/sub 2/ libration-point orbit stationkeeping is proposed in this paper using continuous thrust. The circular restricted three-body problem with Sun and Earth as the two primaries is considered. The unstable orbit about the L/sub 2/ libration-point requires stationkeeping maneuvers to maintain the nominal path. In this study, an approach, called the "/spl theta/-D technique," based on optimal control theory gives a closed-form suboptimal feedback solution to solve this nonlinear control problem. In this approach the Hamiltonian-Jacobi-Bellman (HJB) equation is solved approximately by adding some perturbations to the cost function. The controller is designed such that the actual trajectory tracks a predetermined reference orbit with good accuracy. Numerical results employing this method demonstrate the potential of this method.
Keywords :
Jacobian matrices; aerospace control; approximation theory; artificial satellites; control system synthesis; feedback; nonlinear control systems; nonlinear equations; perturbation techniques; suboptimal control; /spl theta/-D technique; Hamiltonian-Jacobi-Bellman equation; L/sub 2/ libration point orbit stationkeeping; L/sub 2/ libration point satellite; approximation theory; closed form suboptimal feedback; controller design; cost function; nonlinear control problem; optimal control theory; perturbations techniques;
Conference_Titel :
American Control Conference, 2004. Proceedings of the 2004
Conference_Location :
Boston, MA, USA
Print_ISBN :
0-7803-8335-4