Lyapunov-Floquet control of satellite relative motion in elliptic orbits
- Resource Type
- Periodical
- Authors
- Sherrill, Ryan E.; Sinclair, Andrew J.; Sinha, S. C.; Lovell, T. Alan
- Source
- IEEE Transactions on Aerospace and Electronic Systems IEEE Trans. Aerosp. Electron. Syst. Aerospace and Electronic Systems, IEEE Transactions on. 51(4):2800-2810 Oct, 2015
- Subject
- Aerospace
Robotics and Control Systems
Signal Processing and Analysis
Communication, Networking and Broadcast Technologies
Mathematical model
Satellites
Orbits
Space vehicles
Optimal control
Time-varying systems
Elliptic orbits
Thrust control
- Language
- ISSN
- 0018-9251
1557-9603
2371-9877
This paper proposes a method for continuous-thrust control of satellite formations in elliptic orbits. A previously calculated Lyapunov-Floquet transformation relates the linearized equations of relative motion for elliptic chief orbits to the Hill-Clohessy-Wiltshire equations describing circular chiefs. Using a control law based on Lyapunov-Floquet theory, a time-varying feedback gain is computed that drives a deputy satellite toward rendezvous with an elliptic chief. This control law stabilizes the relative motion across a wide range of chief eccentricities.