Journal
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY
Volume 125, Issue 4, Pages 383-412Publisher
SPRINGER
DOI: 10.1007/s10569-016-9685-0
Keywords
Hamiltonian structure-preserving control; Cluster flight; Bounded and quasi-periodic relative trajectories; Elliptic orbit; Floquet stability
Funding
- National Natural Science Foundation of China [11172020, 11432001]
- Beijing Natural Science Foundation [4153060]
Ask authors/readers for more resources
This paper deals with the stabilization of cluster flight on an elliptic reference orbit by the Hamiltonian structure-preserving control using the relative position measurement only. The linearized Melton's relative equation is utilized to derive the controller and then the full nonlinear relative dynamics are employed to numerically evaluate the controller's performance. In this paper, the hyperbolic and elliptic eigenvalues and their manifolds are treated without distinction notations. This new treatment not only contributes to solving the difficulty in feedback of the unfixed-dimensional manifolds, but also allows more opportunities to set the controlled frequencies of foundational motions or to optimize control gains. Any initial condition can be stabilized on a Kolmogorov-Arnold-Moser torus near a controlled elliptic equilibrium. The motions are stabilized around the natural relative trajectories rather than track a reference relative configuration. In addition, the bounded quasi-periodic trajectories generated by the controller have advantages in rapid reconfiguration and unpredictable evolution.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available