Robust Control with Finite Time Convergence for Flexible Spacecraft Attitude Tracking

Main Article Content

Kanoktip Kotsamran*
Chutiphon Pukdeboon

Abstract

The problem of attitude tracking for a flexible spacecraft is studied in this paper. A finite-time sliding mode controller is applied to quaternion-based attitude control for tracking maneuvers with external disturbances. The proposed sliding mode control law is developed by using a terminal sliding mode control algorithm which is able to guarantee finite time reachability of given desired attitude motion of a flexible spacecraft. By using the second method of Lyapunov and terminal sliding mode control concepts, stability of the closed-loop system can be achieved in finite time. An example of multiaxial attitude maneuvers is presented. Simulation results are included to demonstrate and verify the usefulness of the developed controller.


Keywords: Attitude tracking control, flexible spacecraft, terminal sliding mode, finite time convergence


E-mail: [email protected]

Article Details

Section
Original Research Articles

References

[1] Wen, J. T.-Y. and Kreutz-Delgado, K. 1991 The attitude control problem. IEEE Transactions on Automatic control, 36(10), 1148-1161.
[2] Costic, B.T., Dawson, D.M., Queiroz, M.S., and Kapila. V. 2000. A quaternion-based adaptive attitude tracking controller without velocity measurements. In Proceedings of the 39th IEEE Conference on Decision and Control, Sydney, Australia, 12-15 December, 2424-2429.
[3] Crassidis, J.L., Markley, F.L. 1996. Sliding mode control using modified Rodrigues parameters. Journal of Guidance Control and Dynamics, 19(6), 1381-1383.
[4] Lo, S.C., Chen, Y.P. 1995. Smooth Sliding mode control for spacecraft attitude tracking maneuvers. Journal of Guidance Control and Dynamics, 18(6), 1345-1349.
[5] Boskovic, J.D., Li, S.M. and Mehra, R.K. 2004. Robust tracking control design for spacecraft under control input saturation. Journal of Guidance, Control and Dynamics, 27(4), 627-633.
[6] Kang, 1995. Nonlinear H control and its application to rigid spacecraft, IEEE Transactions on Automatic Control, 62(4), 831-1045.
[7] Luo, W., Chung, Y.-C., Ling, K.-V. 2005. Inverse optimal adaptive control for attitude tracking spacecraft. IEEE Transactions on Automatic Control, 50(11), 1639-1654.
[8] Kelkar, A.G., Joshi, S.M. and Alberts, T.E. 1995. Dissipative controllers for nonlinear multibody flexible space systems. Joural of Guidance, Control and Dyamics, 18, 1044-1052.
[9] Utkin, V.I. 1992. Sliding Modes in Control Optimization, Spinger-Verlag, Berlin.
[10] Hu, Q.L., and Ma, G.F. 2005. Vibration suppression of flexible spacecraft during attitude maneuvers. Journal of Guidance Control and Dynamics, 28(2), 377-380.
[11] Di Gennaro S. 1998. Adaptive robust tracking of flexible spacecraft in presence of disturbances. Journal of Optimization Theorem and Applications, 98(3), 545-568.
[12] Di Gennaro S. 2002. Output attitude tracking for flexible spacecraft. Automatica, 38(10),1719-1726.
[13] Yu, X., and Man, Z. 2002. Variable structure systems with terminal sliding modes. In Lecture Notes in Control and Information Sciences, vol.274, New York: Springer-Verlag,109-128.
[14] Yu, S., Yu, X., Shirinzadeh, B., and Man, Z. 2005. Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica, 41(11), 1957-1964.
[15] Zhu, Z., Xia, Y. and Fu, M. 2011. Attitude stabilization of rigid spacecraft with finite-time convergence. International Journal of Robust and Nonlinear Control, 21(6), 1199-1213.
[16] Erdong, J. and Zhaowei, S. 2008. Robust controllers design with finite convergence for rigid spacecraft attitude tracking control. Areospace Science and Technology, 12, 324-330.
[17] Werlz, J.R. 1978. Spacecraft Attitude Determination and Control. Kluwer Academic Publishers.
[18] Erdong J. and Zhaowei S. 2012. Passivity-based control for a flexible spacecraft on the presence of disturbances. International Journal of Nonlinear Mechanics, 45, 348-356.
[19] Khalil, H.K. 2002. Nonlinear Systems (3rd edition) Prentice-Hall. New Jersy.