A new method for L2 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 L2 libration-point requires stationkeeping maneuvers to maintain the nominal path. In this study, an approach, called the "θ-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.
M. Xin et al., "Stationkeeping of an L₂ Libration Point Satellite with θ-D Technique," Proceedings of the 2004 American Control Conference, Institute of Electrical and Electronics Engineers (IEEE), Jan 2004.
2004 American Control Conference
Mechanical and Aerospace Engineering
Keywords and Phrases
Jacobian Matrices; Aerospace Control; Approximation Theory; Artificial Satellites; Control System Synthesis; Feedback; Nonlinear Control Systems; Nonlinear Equations; Perturbation Techniques; Suboptimal Control
Article - Conference proceedings
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