Global finite-time attitude regulation using bounded feedback for a rigid spacecraft
Tóm tắt
This paper investigates the problem of global attitude regulation control for a rigid spacecraft under input saturation. Based on the technique of finite-time control and the switching control method, a novel global bounded finite-time attitude regulation controller is proposed. Under the proposed controller, it is shown that the spacecraft attitude can reach the desired attitude in a finite time. In addition, the bound of a proposed attitude controller can be adjusted to any small level to accommodate the actuation bound in practical implementation.
Tài liệu tham khảo
M. D. Shuster. A survey of attitude representations. Journal of the Astronautical Sciences, 1993, 41(4): 439–517.
P. C. Hughes. Spacecraft Attitude Dynamics. New York: Wiley, 1986.
S. Liu, Z. Geng, J. Sun. Finite-time attitude control: a finite-time passivity approach. IEEE/CAA Journal of Automatica Sinica, 2015, 2(1): 102–108.
J. Zhang, C. Sun, R. Zhang, et al. Adaptive sliding mode control for re-entry attitude of near space hypersonic vehicle based on backstepping design. IEEE/CAA Journal of Automatica Sinica, 2015, 2(1): 94–101.
Y. Xia, N. Zhou, K. Lu, et al. Attitude control of multiple rigid bodies with uncertainties and disturbances. IEEE/CAA Journal of Automatica Sinica, 2015, 2(1): 2–10.
H. Gui, G. Vukovich, S. Xu. Attitude tracking of a rigid spacecraft using two internal torques. IEEE Transactions on Aerospace and Electronic Systems, 2015, 51(4): 2900–2913.
P. Tsiotras. Stabilization and optimality results for the attitude control problem. Journal of Guidance, Control and Dynamics, 1996, 19(4): 772–779.
G. Xing, S. A. Parvez. Nonlinear attitude state tracking control for spacecraft. Journal of Guidance, Control and Dynamics, 2001, 24(3): 624–626.
Y. Xia, Z. Zhu, M. Fu, et al. Attitude tracking of rigid spacecraft with bounded disturbances. IEEE Transactions on Industrial Electronics, 2011, 58(2): 647–659.
B. T. Costic, D. M. Dawson, M. S. de Queiroz, et al. Quaternionbased adaptive attitude tracking controller without velocity measurements. Journal of Guidance, Control, and Dynamics, 2001, 24(6): 1214–1222.
Z. Chen, J. Huang. Attitude tracking and disturbance rejection of rigid spacecraft by adaptive control. IEEE Transaction on Automatic Control, 2009, 54(3): 600–605.
L. L. Show, J. C. Juang, Y. W. Jan. An LMI-based nonlinear attitude control approach. IEEE Transactions on Control Systems Technology, 2003, 11(1): 73–83.
C. Cheng, S. Shu. Application of fuzzy controllers for spacecraft attitude control. IEEE Transactions on Aerospace and Electronic Systems, 2009, 45(2): 761–765.
C. G. Mayhew, R. G. Sanfelice, A. R. Teel. Robust global asymptotic attitude stabilization of a rigid body by quaternionbased hybrid feedback. Proceedings of Joint 48th IEEE Conference on Decision and Control and 28th Chinese Control Conference, Shanghai: IEEE, 2009: 2522–2527.
S. P. Bhat, D. S. Bernstein. Finite-time stability of continuous autonomous systems. SIAM Journal on Control and Optimization, 2000, 38(3): 751–766.
S. Li, S. Ding, Q. Li. Global set stabilisation of the spacecraft attitude using finite-time control technique. International Journal of Control, 2009, 82(5): 822–836.
H. Du, S. Li, C. Qian. Finite-time attitude tracking control of spacecraft with application to attitude synchronization. IEEE Transaction on Automatic Control, 2011, 56(11): 2711–2717.
S. Li, H. Liu, S. Ding. A speed control for a PMSM using finite-time feedback control and disturbance compensation. Transactions of the Institute of Measurement and Control, 2010, 32(2): 170–187.
S. Ding, S. Li, Q. Li. Stability analysis for a second-order continuous finite-time control system subject to a disturbance. Journal of Control Theory and Applications, 2009, 7(3): 271–276.
Y. Shen. Finite-time control of linear parameter-varying systems with norm-bounded exogenous disturbance. Journal of Control Theory and Applications, 2008, 6(2): 184–188.
Q. Hu, B. Li, A. Zhang, et al. Finite-time attitude maneuver control of spacecraft under controlsaturation and misalignment. Control Theory & Applications, 2013, 30(4): 417–424 (in Chinese).
H. Zhang, C. Wang, H. Chen. Finite-time saturated stabilization for a class of nonlinear systemswith dynamic feedback. Control Theory & Applications, 2013, 30(3): 355–359 (in Chinese).
B. Jiang, Q. Hu, M. I. Friswell. Fixed-Time attitude control for rigid spacecraft with actuator saturation and faults. IEEE Transactions on Control Systems Technology, 2016, 24(5): 1892–1898.
Z. Sun, S. Li, X. Zhang. Direct torque control of induction motor based on extended state observer and finite time control scheme. Control Theory & Applications, 2014, 31(6): 748–756.
S. Ding, S. Li. Stabilization of the attitude of a rigid spacecraft with external disturbances using finite-time control techniques. Aerospace Science and Technology, 2009, 13(4): 256–265.
Z. Zhu, Y. Xia, M. Fu. Attitude stabilization of rigid spacecraft with finite-time convergence. International Journal of Robust and Nonlinear Control, 2011, 21(6): 686–702.
Y. Hong, Y. Xu, J. Huang. Finite-time control for robot manipulators. Systems & Control Letters, 2002, 46(4): 185–200.
S. P. Bhat, D. S. Bernstein. Finite-time stability of homogeneous systems. Proceedings of the American Control Conference, Albuquerque, New Mexico: IEEE, 1997: 2513–2514.
Y. Hong, J. Huang, Y. Xu. On an output feedback finite-time stabilization problem. IEEE Transaction on Automatic Control, 2001, 46(2): 305–309.
S. Yu, X. Yu, B. Shirinzadeh, et al. Continuous finite-time control for robotic manipulators with terminal sliding mode. Automatica, 2005, 41(11): 1957–1964.
C. Qian, W. Lin. A continuous feedback approach to global strong stabilization of nonlinear systems. IEEE Transactions on Automatic Control, 2001, 46(7): 1061–1079.
G. Hardy, J. Littlewood, G. Polya. Inequalities. Cambridge: Cambridge University Press, 1952.
J. J. E. Slotine, M. D. D. Benedetto. Hamiltonian adaptive control of spacecraft. IEEE Transaction on Automatic Control, 1990, 35(7): 848–852.
H. Khalil. Nonlinear Systems. 3rd ed. Upper Saddle River: Prentice Hall, 2002: 303–334.
S. Ding, S. Li, Q. Li. Disturbance analysis for continuous finitetime control systems. Journal of Control Theory and Applications, 2009, 7(3): 271–276.