Browse > Article
http://dx.doi.org/10.5139/IJASS.2010.11.4.351

Collision Avoidance Using Linear Quadratic Control in Satellite Formation Flying  

Mok, Sung-Hoon (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology)
Choi, Yoon-Hyuk (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology)
Bang, Hyo-Choong (Department of Aerospace Engineering, Korea Advanced Institute of Science and Technology)
Publication Information
International Journal of Aeronautical and Space Sciences / v.11, no.4, 2010 , pp. 351-359 More about this Journal
Abstract
This paper proposes a linear system control algorithm with collision avoidance in multiple satellites. Consideration of collision avoidance is augmented by adding a weighting term in the cost function of the original tracking problem in linear quadratic control (LQC). Because the proposed algorithm relies on a similar solution procedure to the original LQC, its inherent advantages, including gain-robustness and optimality, are preserved. To confirm and visualize the derived algorithm, a simple example of two-vehicle motion in the two-dimensional plane is illustrated. In addition, the proposed collision avoidance control is applied to satellite formation flying, and verified by numerical simulations.
Keywords
Collision avoidance; Linear quadratic control; Tracking problem; Satellite formation flying;
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 Psiaki, M. L. (2001). Magnetic torquer attitude control via asymptotic periodic linear quadratic regulation. Journal of Guidance, Control, and Dynamics, 24, 386-394.   DOI   ScienceOn
2 Ridgely, D. B., Banda, S. S., McQuade, T. E., and Lynch, P. J. (1987). Linear-quadratic-Gaussian with loop-transfer recovery methodology for an unmanned aircraft. Journal of Guidance, Control, and Dynamics, 10, 82-89.   DOI   ScienceOn
3 Slater, G. L., Byram, S. M., and Williams, T. W. (2006). Collision avoidance for satellites in formation flight. Journal of Guidance, Control, and Dynamics, 29, 1140-1146.   DOI   ScienceOn
4 Speyer, J. L. (1979). Computation and transmission requirements for a decentralized linear-quadratic-Gaussian control problem. IEEE Transactions and Automatic Control, 24, 262-269.   DOI
5 Anderson, B. D. O. and Moore, J. B. (1990). Optimal Control: Linear Quadratic Methods. Englewood Cliffs: Prentice Hall.
6 Bellman, R. E. (1952). On the theory of dynamics programming. Proceeding of the National Academy of Sciences, California, pp. 716-719.
7 Clohessy, W. H. and Wiltshire, R. S. (1960). Terminal guidance system for satellite rendezvous. Journal of the Aerospace Science, 27, 653-658.   DOI
8 Dorato, P., Abdallah, C. T., and Cerone, V. (1995). Linear-Quadratic Control: an Introduction. Englewood Cliffs: Prentice Hall.
9 Fravolini, M. L., Ficola, A., Napolitano, M. R., Campa, G., and Perhinschi, M. G. (2003). Development of modeling and control tools for aerial refueling for UAVs. AIAA Guidance, Navigation, and Control Conference and Exhibit, Austin, TX, pp. AIAA 2003-5798.
10 Gribble, J. J. (1993). Linear quadratic Gaussian/loop transfer recovery design for a helicopter in low-speed flight. Journal of Guidance, Control, and Dynamics, 16, 754-761.   DOI   ScienceOn
11 Hadaegh, F. Y., Ghavimi, A. R., Singh, G., and Quadrelli, M. (2000). A centralized optimal controller for formation flying spacecraft. International Conference of Intelligence and Technology.
12 McCambish, S. B. Romano M., Nolet, S., Edwards C. M., and Miller, D. W. (2009). Flight testing of multiple-spacecraft control on SPHERES during close-proximity operations. Journal of Guidance, Control, and Dynamics, 46, 1202-1213.
13 Xing, G. Q., Parvez, S. A., and Folta, D. (2000). Design and implementation of synchronized autonomous orbit and attitude control for multiple spacecraft formation using GPS measurement feedback. Advances in the Astronautical Sciences, 105I, 115-134.
14 Wang, S. and Schaub, H. (2008). Spacecraft collision avoidance using coulomb forces with separation distance and rate feedback. Journal of Guidance, Control, and Dynamics, 31, 740-750.   DOI   ScienceOn
15 Wiener, N. (1948). Cybernetics. New York: John Wiley.
16 Lim, H., Bang, H., and Kim, H. (2005). Sliding mode control for the configuration of satellite formation flying using potential functions. International Journal of Aeronautical and Space Sciences, 6, 56-63.   과학기술학회마을   DOI   ScienceOn
17 Lovren N. and Tomic, M. (1994). Analytic solution of the Riccati equation for the homing missile linear-quadratic control problem. Journal of Guidance, Control, and Dynamics, 17, 619-621.   DOI   ScienceOn
18 Plumlee, J. H. and Bevly, D. M. (2004). Control of a ground vehicle using quadratic programming based control allocation techniques. Proceeding of the American Control Conference, Boston, MA, 4704-4709