Abstract
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.
Recommended Citation
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.
Meeting Name
2004 American Control Conference
Department(s)
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
Document Type
Article - Conference proceedings
Document Version
Final Version
File Type
text
Language(s)
English
Rights
© 2004 Institute of Electrical and Electronics Engineers (IEEE), All rights reserved.
Publication Date
01 Jan 2004
