Technical Papers
Feb 18, 2016

Adaptive Finite-Time Control for Attitude Tracking of Rigid Spacecraft

Publication: Journal of Aerospace Engineering
Volume 29, Issue 4

Abstract

This paper investigates the attitude tracking control problem for rigid spacecraft with inertia uncertainties and external perturbations. Spacecraft attitude dynamics and kinematics are initially converted into Lagrange-like model and formulated as a state-space form described by the modified Rodrigues parameters (MRPs). Robust controllers contain two parts and use geometric homogeneity, integral sliding mode (ISM) technique, and adaptive laws. One part proposes a class of feedback controllers to accomplish finite-time stabilization of the second order dynamics without the lumped uncertainties. The other part rejects bounded uncertainties based on ISM associated with adaptive laws. Moreover, a rigorous proof of finite-time convergence is developed. The proposed control laws provide finite-time convergence, robustness, and faster and higher control precision, and these algorithms require no information about inertia uncertainties and external disturbances, which cannot be obtained in practical systems. Finally, numerical simulations are also carried out to illustrate the effectiveness of these methodologies.

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Acknowledgments

This paper was supported by the National Natural Science Foundation of China (Grant No. 61463029 and 61202128).

References

Ali, I., Radice, G., and Kim, J. (2010). “Back-stepping control design with actuator torque bound for spacecraft attitude maneuver.” J. Guidance Control Dyn., 33(1), 254–259.
Bhat, S., and Bernstein, D. S. (1998). “Continuous finite-time stabilization of the translational and rotational double integrators.” IEEE Trans. Autom. Control, 43(5), 678–682.
Bhat, S. P., and Bernstein, D. (2000). “Finite-time stability of continuous autonomous systems.” SIAM J. Control Optimiz., 38(3), 751–766.
Bhat, S. P., and Bernstein, D. S. (1997). “Finite-time stability of homogeneous systems.” Proc., American Control Conf., Vol. 4, IEEE, Albuquerque, NM, 2513–2514.
Chen, Y. P., and Lo, S. C. (1993). “Sliding-mode controller design for spacecraft attitude tracking maneuvers.” IEEE Trans. Aerosp. Electr. Syst., 29(4), 1328–1333.
Cong, B., Chen, Z., and Liu, X. (2014). “Improved adaptive sliding mode control for rigid spacecraft attitude tracking.” J. Aerosp. Eng., 04014004.
Ding, S., and Li, S. (2009). “Stabilization of the attitude of a rigid spacecraft with external disturbances using finite-time control techniques.” Aerosp. Sci. Technol., 13(4/5), 256–265.
Du, H., and Li, S. (2012). “Finite-time attitude stabilization for a spacecraft using homogeneous method.” J. Guidance Control Dyn., 35(3), 740–748.
Du, H., Li, S., and Qian, C. (2011). “Finite-time attitude tracking control of spacecraft with application to attitude synchronization.” IEEE Trans. Autom. Control, 56(11), 2711–2717.
Egeland, O., and Godhavn, J. M. (1994). “Passivity-based adaptive attitude control of a rigid spacecraft.” IEEE Trans. Autom. Control, 39(4), 842–846.
Feng, Y., Yu, X., and Man, Z. (2002). “Non-singular terminal sliding mode control of rigid manipulators.” Automatica, 38(12), 2159–2167.
Haimo, V. T. (1986). “Finite time controllers.” SIAM J. Control Optimiz., 24(4), 760–770.
Hardy, G., Littlewood, J., and Polya, G. (1952). Inequalities, Cambridge University Press, Cambridge, U.K.
Hong, Y., Huang, J., and Xu, Y. (2001). “On an output feedback finite-time stabilization problem.” IEEE Trans. Autom. Control, 46(2), 305–309.
Huang, X., Lin, W., and Yang, B. (2005). “Global finite-time stabilization of a class of uncertain nonlinear systems.” Automatica, 41(5), 881–888.
Huo, X., Hu, Q., and Xiao, B. (2014). “Finite-time fault tolerant attitude stabilization control for rigid spacecraft.” ISA Trans., 53(2), 241–250.
Jin, E., and Zhao, S. (2008). “Robust controllers design with finite time convergence for rigid spacecraft attitude tracking control.” Aerosp. Sci. Technol., 12(4), 324–330.
Lee, K., and Singh, S. (2015). “A higher-order sliding mode three-axis solar pressure satellite attitude control system.” J. Aerosp. Eng., 04015019.
Levant, A. (2003). “Higher-order sliding modes, differentiation and output-feedback control.” Int. J. Control, 76(9–10), 924–941.
Li, S., Wang, Z., and Fei, S. (2011). “Comments on the paper: Robust controllers design with finite time convergence for rigid spacecraft attitude tracking control.” Aerosp. Sci. Technol., 15(3), 193–195.
Lizarralde, F., and Wen, J. T. (1996). “Attitude control without angular velocity measurement: A passivity approach.” IEEE Trans. Autom. Control, 41(3), 468–472.
Lu, K., and Xia, Y. (2013). “Adaptive attitude tracking control for rigid spacecraft with finite-time convergence.” Automatica, 49(12), 3591–3599.
Man, Z., Paplinski, A. P., and Wu, H. R. (1994). “A robust MIMO terminal sliding mode control scheme for rigid robotic manipulators.” IEEE Trans. Autom. Control, 39(12), 2464–2469.
Qian, C., and Li, J. (2005). “Global finite-time stabilization by output feedback for planar systems without observable linearization.” IEEE Trans. Autom. Control, 50(6), 885–890.
Sharma, R., and Tewari, A. (2004). “Optimal nonlinear tracking of spacecraft attitude maneuvers.” IEEE Trans. Control Syst. Technol., 12(5), 677–682.
Show, L. L., Juang, J. C., and Jan, Y. W. (2003). “An LMI-based nonlinear attitude control approach.” IEEE Trans. Control Syst. Technol., 11(1), 73–83.
Shuster, M. D. (1993). “A survey of attitude representations.” J. Astronaut. Sci., 41(4), 439–517.
Tiwari, P. M., Janardhanan, S., and Nabi, M. (2015). “Rigid spacecraft attitude control using adaptive integral second order sliding mode.” Aerosp. Sci. Technol., 42, 50–57.
Wen, J. T. Y., and Kreutz Delgado, K. (1991). “The attitude control problem.” IEEE Trans. Autom. Control, 36(10), 1148–1162.
Xia, Y., Zhu, Z., Fu, M., and Wang, S. (2011). “Attitude tracking of rigid spacecraft with bounded disturbances.” IEEE Trans. Ind. Electr., 58(2), 647–659.
Xing, G. Q., and Parvez, S. A. (2001). “Nonlinear attitude state tracking control for spacecraft.” J. Guidance Control Dyn., 24(3), 624–626.
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.
Yu, X., and Man, Z. (1998). “Multi-input uncertain linear systems with terminal sliding-mode control.” Automatica, 34(3), 389–392.
Yu, X., and Man, Z. (2002). “Fast terminal sliding-mode control design for nonlinear dynamical systems.” IEEE Trans. Circuits Syst. I: Fundam. Theory Appl., 49(2), 261–264.
Zou, A. M., Kumar, K. D., Hou, Z. G., and Liu, X. (2011). “Finite-time attitude tracking control for spacecraft using terminal sliding mode and Chebyshev neural network.” IEEE Trans. Syst. Man Cybern.—Part B: Cybern., 41(4), 950–963.

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Published In

Go to Journal of Aerospace Engineering
Journal of Aerospace Engineering
Volume 29Issue 4July 2016

History

Received: May 29, 2015
Accepted: Oct 29, 2015
Published online: Feb 18, 2016
Published in print: Jul 1, 2016
Discussion open until: Jul 18, 2016

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Authors

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Ph.D. Student, Institute of Control Engineering, Xi’an Jiaotong Univ., Xi’an 710049, China. E-mail: [email protected]
Professor, Institute of Control Engineering, Xi’an Jiaotong Univ., Xi’an 710049, China (corresponding author). E-mail: [email protected]

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