This paper develops an adaptive sliding mode attitude control system combined with time-delay control for the attitude coordination of satellite formation, especially when there exists the misalignment and magnitude error of active actuators. An adaptive update algorithm is presented to estimate the misalignment of actuators online, while the external disturbances together with random magnitude errors of an actuator are attenuated by the sliding mode controller. In addition, due to the introduction of the time-delay element, which just delays the last instantaneous control torque for a unit time, the complexity of controller design is greatly reduced. The stability of the closed-loop system is also proved based on the Lyapunov theory. Finally, the effectiveness of the corresponding controller is studied through numerical simulation. The results demonstrate that the external disturbance and random magnitude error can be attenuated by choosing appropriate control parameters, and the adaptive update algorithm can converge in a short time as well.
LU Yueyong, HU Qinglei, MA Guangfu, ZHOU Jiakang
. Decentralized Time-delay Adaptive Sliding Mode Control for Attitude Coordination of Satellite Formation Under Actuator Misalignment[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2011
, 32(9)
: 1686
-1695
.
DOI: CNKI:11-1929/V.20110316.1336.006
[1] Scharf D P, Hadaegh F Y, Ploen S R. A survey of spacecraft formation flying guidance and control (Part II): control//Proceeding of the 2004 American Control Conference. 2004: 2976-2985.
[2] Bristow J, Folta D, Hartman K. A formation flying technology vision. AIAA-2000-5194, 2000.
[3] Wang P, Hadaegh F. Coordination and control of micro-spacecraft moving in formation[J]. Astronautical Science, 1996, 44(3): 315-355.
[4] Wang P, Hadaegh F, Lau K. Synchronized formation rotation and attitude control of multiple free-flying spacecraft[J]. Journal of Guidance, Control, and Dynamics, 1999, 22(1): 28-35.
[5] Kristiansen R. Spacecraft relative rotation tracking without angular velocity measurements[J]. Automatica, 2009, 45(3): 750-756.
[6] Bondhus A K, Pettersen K Y, Gravdahl J T. Leader/follower synchronization of satellite attitude without angular velocity measurements//44th IEEE Conference on Decision and Control. 2005: 7270-7277.
[7] Beard R, Lawton J, Hadaegh F. A coordination architecture for formation control[J]. IEEE Transactions on Control Systems Technology, 2001, 9(6): 777-790.
[8] Ahn C, Kim Y. Point targeting of multi-satellites via a virtual structure formation flight scheme. AIAA-2008-6471, 2008.
[9] Ren W, Beard R. Formation feedback control for multiple spacecraft via virtual structures//IEE Proceedings Control Theory and Applications, 2004, 151(3): 357-368.
[10] Wolff P J, Pinto F, Williams B G, et al. Navigation considerations for low-thrust planetary missions//8th AAS/AIAA Spaceflight Mechanics Meeting. 1998: 1-10.
[11] Lim H C, Bang H. Adaptive control for satellite formation flying under thrust misalignment[J]. Acta Astronautica, 2009, 65(1-2): 112-122.
[12] Massey T, Shtessel Y. Continuous traditional and high-order sliding modes for satellite formation control[J]. Journal of Guidance, Control, and Dynamics, 2005, 28(4): 826-831.
[13] Liu H, Li J F. Terminal sliding mode control for spacecraft formation flying[J]. IEEE Transactions on Aerospace and Electronic Systems, 2009, 45(3): 835-846.
[14] Feng Y, Yu X H, Man Z Z. Non-singular terminal sliding mode control of rigid manipulators[J]. Automatica, 2002, 38(9): 2159-2167.
[15] Liu H T, Shan J J, Sun D. Adaptive synchronization control of multiple spacecraft formation flying[J]. Dynamic Systems, Measurement, and Control, 2007, 129(3): 337-342.
[16] de Queiroz M S, Kapila V, Yan Q G. Adaptive nonlinear control of multiple spacecraft formation flying[J]. Journal of Guidance, Control, and Dynamics, 2000, 23(3): 385-390.
[17] Lim H C, Bang H, Kim B. Adaptive backstepping control for satellite formation flying with thruster error//AIAA 57th International Astronautical Congress. 2006: 4553-4558.
[18] Shuster M D. A survey of attitude representations[J]. Astronautical Sciences, 1993, 41(4): 439-517.
[19] 马广富, 姜野, 胡庆雷. 卫星姿态时延反步容错控制[J]. 航空学报,2010,31(5): 1066-1073. Ma Guangfu, Jiang Ye, Hu Qinglei. Time delay backstepping based fault tolerant attitude control of satellites[J]. Acta Aeronautica et Astronautica Sinica, 2010, 31(5): 1066-1073. (in Chinese)
[20] Hu Q L. Semi-globally input-to-state stable controller design for flexible spacecraft attitude stabilization under bounded disturbances[J]. Acta Astronautica, 2010, 66(3-4): 567-576.