Access the full text.
Sign up today, get DeepDyve free for 14 days.
Loading next page...
/lp/springer-journals/a-new-control-law-based-on-characteristic-exponent-assignment-for-5uVd0sgUFs
References (21)
-
David Cielaszyk, B. Wie (1996)
New Approach to Halo Orbit Determination and ControlJournal of Guidance Control and Dynamics, 19
-
V. Szebehely, F. Geyling (1967)
Theory of Orbits: The Restricted Problem of Three Bodies -
B.L. Jones (1992)
H2 optimal halo guidance. AIAA/AAS Astrodynamics Conference -
R.W. Farquhar (1970)
The control and use of libration-point satellites. NASA Technical Report R-346 -
W. Koon, M. Lo, J. Marsden, S. Ross (2009)
Dynamical Systems, the Three-Body Problem and Space Mission Design -
T. Li P. Wang (2004)
Characteristric exponent assignment for linear periodic systemActa Autom. Sin., 30
-
A. Rahmani, M. Jalali, S. Pourtakdoust (2003)
Optimal Approach to Halo Orbit Control -
R. Farquhar (1970)
The control and use of libration-point satellites -
H. Wong (2003)
Adaptive nonlinear control of spacecraft near Sun–Earth L2 lagrange point. American Control Conference -
Y. Lee, M. Balas (1999)
Controller Design of Periodic Time-Varying Systems via Time-Invariant MethodsJournal of Guidance Control and Dynamics, 22
-
A. Rahmani (2003)
Optimal approach to halo orbit control. AIAA Guidance -
David Wang, Guo Yang, M. Donath (1993)
American Control Conference -
A.G. Loukianov (1998)
Time-varying linear system decomposed control. In: Proceedings of the American Control ConferenceProceedings of the American Control Conference
-
S. Agrawal, X. Xu (1998)
Optimization of a class of linear time-periodic systems: a new approach via transformation to a canonical formProceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 5
-
P. Gurfil (2006)
Stationkeeping on libration point orbits in the elliptic restricted three-body problem. AIAA/AAS Astrodynamics Specialist Conference and Exhibit -
S.K. Agrawal (1998)
Approach via transformation to a canonical form. In: Proceedings of the American Control ConferenceProceedings of the American Control Conference
-
P. Gurfil, Daniel Meltzer (2006)
Stationkeeping on Libration Point Orbits in the Elliptic Restricted Three-Body Problem -
Hong Wong, V. Kapila (2003)
Adaptive nonlinear control of spacecraft near sun-earth L/sub 2/ lagrange pointProceedings of the 2003 American Control Conference, 2003., 2
-
Brian Jones, R. Bishop (1992)
H2 OPTIMAL HALO ORBIT GUIDANCEJournal of Guidance Control and Dynamics, 16
-
D. Richardson (1980)
Analytic construction of periodic orbits about the collinear pointsCelestial mechanics, 22
-
A. Loukianov, V. Utkin (1998)
Time-varying linear system decomposed controlProceedings of the 1998 American Control Conference. ACC (IEEE Cat. No.98CH36207), 5
- Publisher
- Springer Journals
- Copyright
- 2010 The Chinese Society of Theoretical and Applied Mechanics and Springer-Verlag GmbH
- ISSN
- 0567-7718
- eISSN
- 1614-3116
- DOI
- 10.1007/s10409-010-0344-5
- Publisher site
- See Article on Publisher Site
Abstract
Abstract A new method is developed for stabilizing motion on collinear libration point orbits using the formalism of the circular restricted three body problem. Linearization about the collinear libration point orbits yields an unstable linear parameter-varying system with periodic coefficients. Given the variational equations, an innovative control law based on characteristic exponent assignment is introduced for libration point orbit maintenance. A numerical simulation choosing the Richardson’s third order approximation for a halo orbit as a nominal orbit is conducted, and the results demonstrate the effectiveness of this control law.
Journal
"Acta Mechanica Sinica" – Springer Journals
Published: Jun 1, 2010