Elliptical Orbital Spacecraft Rendezvous without Velocity Measurement
Publication: Journal of Aerospace Engineering
Volume 29, Issue 4
Abstract
This paper presents a new robust output feedback guidance scheme for autonomous spacecraft rendezvous during the final phase in elliptical orbit. The proposed approach is essentially a compound control method, which consists of an input-to-state stable (ISS) concept and high-gain observer (HGO) methodology. More specifically, the HGO is used to estimate the relative velocity between two neighboring spacecrafts, while the ISS-based controller is used to regulate the relative position and the relative velocity to a small region around zero asymptotically. Stability analysis of the closed-loop system is also established by using Lyapunov theory. Numerical simulations are performed to demonstrate the robustness and effectiveness of the proposed method.
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Acknowledgments
This work was supported by the Natural Science Foundation of China (Grant No. 61172182), and the fundamental research project of Beijing Institute of Technology (Grant No. 20130142017).
References
Ahrens, J. H., and Khalil, H. K. (2009). “High-gain observers in the presence of measurement noise: A switched-gain approach.” Automatica, 45(4), 936–943.
Alessandri, A., and Rossi, A. (2015). “Increasing-gain observers for nonlinear systems: Stability and design.” Automatica, 57, 180–188.
Atassi, A. N., and Khalil, H. K. (1999). “A separation principle for the stabilization of a class of nonlinear systems.” IEEE Trans. Autom. Control, 44(9), 1672–1687.
Ball, A., and Khalil, H. K. (2008). “High-gain observers in the presence of measurement noise: A nonlinear gain approach.” Proc., IEEE Decision and Control Conf., IEEE, 2288–2293.
Carter, T. E. (1998). “State transition matrices for terminal rendezvous studies: Brief survey and new example.” J. Guide. Control Dyn., 21(1), 148–155.
Clohessy, W. H., and Wiltshire, R. S. (1960). “Terminal guidance system for satellite rendezvous.” J. Aerosp. Sci., 27(9), 653–658.
Di Cairano, S., Park, H., and Kolmanovsky, I. (2012). “Model predictive control approach for guidance of spacecraft rendezvous and proximity maneuvering.” Int. J. Robust Nonlinear Control, 22(12), 1398–1427.
Esfandiari, F., and Khalil, H. K. (1992). “Output feedback stabilization of fully linearizable systems.” Int. J. Control, 56(5), 1007–1037.
Fehse, W. (2003). Automated rendezvous and docking of spacecraft, Cambridge University Press, London.
Frauenholz, R. B., Bhat, R. S., Chesley, S. R., Mastrodemos, N., Owen, W. M., Jr., and Ryne, M. S. (2008). “Deep impact navigation system performance.” J. Spacecr. Rockets, 45(1), 39–56.
Gao, H. J., Yang, X. B., and Shi, P. (2009). “Multi-objective robust control of spacecraft rendezvous.” IEEE Trans. Control Syst. Technol., 17(4), 794–802.
Gao, X. Y., Teo, K. L., and Duan, G. R. (2012). “Non-fragile robust control for uncertain spacecraft rendezvous system with pole and input constraints.” Int. J. Control, 85(7), 933–941.
Gao, X. Y., Teo, K. L., and Duan, G. R. (2014). “An optimal control approach to spacecraft rendezvous on elliptical orbit.” Optim. Control Appl. Meth., 36(2), 158–178.
Hartley, E. N., Trodden, P. A., Richards, A. G., and Maciejowski, J. M. (2012). “Model predictive control system design and implementation for spacecraft rendezvous.” Control Eng. Pract., 20(7), 695–713.
He, S., Lin, D., Wang, J. (2015). “Autonomous spacecraft rendezvous with finite time convergence.” J. Franklin Inst., 352(11), 4962–4979.
Imani, A., and Bahrami, M. (2013). “Optimal sliding mode control for spacecraft formation flying in eccentric orbits.” Proc. Inst. Mech. Eng. Part I, 227(5), 474–481.
Khalil, H. K. (2002). Nonlinear systems, 3rd Ed., Prentice-Hall, Upper Saddle River, NJ.
Khalil, H. K., and Praly, L. (2014). “High-gain observers in nonlinear feedback control.” Int. J. Robust Nonlinear Control, 24(6), 993–1015.
Leeghim, H. (2013). “Spacecraft intercept using minimum control energy and wait time.” Celest. Mech. Dyn. Astron., 115(1), 1–19.
Luo, Y., Zhang, J., and Tang, G. (2014). “Survey of orbital dynamics and control of space rendezvous.” Chin. J. Aeronaut., 27(1), 1–11.
Ma, L., Meng, X., Liu, Z., and Du, L. (2012). “Multi-objective and reliable control for trajectory-tracking of rendezvous via parameter-dependent Lyapunov functions.” Acta Astronaut., 81(1), 122–136.
Massari, M., and Zamaro, M. (2014). “Application of SDRE technique to orbital and attitude control of spacecraft formation flying.” Acta Astronaut., 94(1), 409–420.
MATLAB version 7.0 [Computer software]. MathWorks, Natick, MA.
Polites, M. E. (1999). “Technology of automated rendezvous and capture in space.” J. Spacecr. Rockets, 36(2), 280–291.
Prasov, A. A., and Khalil, H. K. (2013). “A nonlinear high-gain observer for systems with measurement noise in a feedback control framework.” IEEE Trans. Autom. Control, 58(3), 569–580.
Sherwood, B. (2003). “Mars sample return: Architecture and mission design.” Acta Astronaut., 53(4), 353–364.
Subbarao, K., and Welsh, S. J. (2008). “Nonlinear control of motion synchronization for satellite proximity operations.” J. Guide Control Dyn., 31(5), 1284–1294.
Ulrich, S., Hayhurst, D., Saenz-Otero, A., Miller, D., and Barkana, I. (2014). “Simple adaptive control for spacecraft proximity operations.” Proc., AIAA Guidance, Navigation, and Control Conf., AIAA.
Wertz, J. R., and Larson, W. J. (1991). Space mission analysis and design, Kluwer, Deventer, Netherlands.
Yamanaka, K., and Ankersen, F. (2002). “New state transition matrix for relative motion on an arbitrary elliptical orbit.” J. Guide Control Dyn., 25(1), 60–66.
Zhao, L., Jia, Y., and Matsuno, F. (2013). “Adaptive time-varying sliding mode control for autonomous spacecraft rendezvous.” Proc., IEEE 52nd Annual Conf. on Decision and Control, IEEE, 5504–5509.
Zhou, B., Cui, N. G., and Duan, G. R. (2012). “Circular orbital rendezvous with actuator saturation and delay: A parametric Lyapunov equation approach.” IET Control Theory Appl., 6(9), 1281–1287.
Zhou, B., Lin, Z., and Duan, G. R. (2011). “Lyapunov differential equation approach to elliptical orbital rendezvous with constrained controls.” J. Guide Control Dyn., 34(2), 345–358.
Zimpfer, D., Kachmar, P., and Tuohy, S. (2005). “Autonomous rendezvous, capture and in-space assembly: Past, present and future.” Proc., 1st Space Exploration Conf. of Continuing the Voyage of Discovery, AIAA, 234–245.
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© 2015 American Society of Civil Engineers.
History
Received: Jun 7, 2015
Accepted: Oct 5, 2015
Published online: Dec 31, 2015
Discussion open until: May 31, 2016
Published in print: Jul 1, 2016
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