Neighboring Optimum Feedback Control Law for Earth-Orbiting Formation-Flying Spacecraft

This paper develops a feedback control law that guarantees neighboring fuel-optimality of the reconfiguration of a formation of Earth-orbiting formation-flying spacecraft. It aims for the case in which a specific formation is to be achieved at a specific true anomaly. It guarantees neighboring fuel-...

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Bibliographic Details
Published in:Journal of guidance, control, and dynamics control, and dynamics, 2009-01, Vol.32 (1), p.290-299
Main Authors: Hamel, Jean-Francois, Lafontaine, Jean De
Format: Article
Language:English
Subjects:
Applied sciences
Computer science
control theory
systems
Control algorithms
Control system synthesis
Control theory
Control theory. Systems
Controllers
Electrical engineering
Energy consumption
Exact sciences and technology
Fundamental areas of phenomenology (including applications)
Optimal control
Orbits
Physics
Satellites
Solid dynamics (ballistics, collision, multibody system, stabilization...)
Solid mechanics
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Summary:This paper develops a feedback control law that guarantees neighboring fuel-optimality of the reconfiguration of a formation of Earth-orbiting formation-flying spacecraft. It aims for the case in which a specific formation is to be achieved at a specific true anomaly. It guarantees neighboring fuel-optimality of such a reconfiguration maneuver, assuming that the formation evolves in the vicinity of an uncontrolled reference trajectory. It is in the semi-analytic form, as only one time-varying gain matrix needs to be computed before the maneuver. It allows a fuel consumption/formation accuracy tradeoff with the selection of only one scalar gain. Simulations compare the performance of this controller with the linear-quadratic regulator and the mean orbit elements controller in the context of a 1 km size formation reconfiguration. Simulations show that this neighboring optimum controller can perform the maneuver with better accuracy while spending as much or less propellant than the other controllers. [PUBLISHER ABSTRACT]
ISSN:0731-5090
1533-3884
DOI:10.2514/1.32778