This paper addresses the problem of attitude control of a spacecraft when unknown dead zones of unknown bounds exist at the actuators. A robust adaptive controller with parameter update laws are designed for the spacecraft’s attitude and an asymptotically stable tracking performance is mathematically proven based on the proposed design. Numerical simulation results along with the theoretical proof show that the proposed control scheme can successfully stabilize the attitude of the spacecraft with the unknown actuator dead zones.
DwyerTA. Exact nonlinear control of large angle rational maneuvers. IEEE Trans Autom Contr1984; AC-29(9): 769–774.
2.
ShowLLJuangJCLinCT. Spacecraft robust attitude control design: PID control approach. In: Proceedings of the American control conference, Anchorage, AK, 8–10 May 2002, paper no. ACC.2002.1023210; vol. 2: pp.1360–1365.
3.
BehalADawsonDZergerogluE. Nonlinear tracking control of an under actuated spacecraft. In: Proceedings of the American control conference, Anchorage, AK, 8–10 May 2002, paper no. ACC.2002.1025397; vol. 6: pp.4684–4689.
4.
BacconiFAngeliDMoscaE. Attitude control of asymmetric spacecrafts subject to actuator failures. In: Proceedings of the IEEE international conference on control applications, 23–25 June 2003, paper no. CCA.2003.1223460; vol. 1: pp.474–479.
5.
Hong-YuZPing-YuanCHu-TaoC. Autonomous design of spacecraft attitude control based on normal matrix and genetic algorithm. In: Control and decision conference, China, 2–4 June 2008, paper no. CCDC.2008.4597963: pp.3415–3420.
6.
Ping-YuanCHong-YuZ. Nonlinear H∞ normal matrix attitude control of spacecraft. In: Control and decision conference, China, 17–19 June 2009, paper no. CCDC.2009.5192472: pp.1404–1409.
7.
HuangXWangQDongC. Neural network adaptive robust attitude control of spacecraft. In: IEEE international conference on intelligent computing and intelligent systems, 20–22 November 2009, paper no. ICICISYS.2009.5358286: pp.747–751.
8.
TaoGKokotovicPV. Adaptive control of plants with unknown dead zone. IEEE Trans Autom Contr1994; 39(1): 59–68.
9.
TaoGKokotovicPV. Discrete-time adaptive control of systems with unknown dead zone. Int J Contr1995; 61(1): 1–17.
10.
ChoHYBaiEW. Convergence results for an adaptive dead zone inverse. Int J Adapt Contr Signal Process1998: 12(5): 451–466.
11.
LewisFLTimWKWangLZ. Dead zone compensation in motion control systems using adaptive fuzzy logic control. IEEE Trans Contr Syst Technol1999; 7(6): 731–742.
12.
SelmicRRLewisFL. Dead zone compensation in motion control systems using neural networks. IEEE Trans Autom Contr2000; 45(4): 602–613.
13.
ZhouJWenCZhangY. Adaptive output control of nonlinear systems with unknown dead zone. IEEE Trans Autom Contr2006; 51(3): 504–511.
14.
ZhouJShenXZ. Robust adaptive control of nonlinear uncertain plants with unknown dead zone. IET Contr Theor Applic2007; 1(1): 25–32.
15.
WangSXSuCYHongHY. Robust adaptive control of a class of nonlinear systems with unknown dead zone. In: Proceedings of 40th IEEE conference on decision and control, Orlando, FL, 2004, paper no. 2001.981134; vol. 2: pp.1627–1632.
16.
WangSXSuCYHongHY. Model reference adaptive control of continuous-time systems with an unknown input dead zone. IEE Proc Contr Theor Applic2003; 150(3): 261–266.
17.
WangSXSuCYHongHY. Robust adaptive control of a class of nonlinear systems with unknown dead zone. Automatica2004; 40(3): 407–413.
18.
JasimIF. Stable robust adaptive controller and observer design for a class of SISO nonlinear systems with unknown dead zone. In: International conference on control and automation, Bali, Indonesia, 25–27 November 2009. paper no. ID59000, vol. 59: pp.209–215.
19.
HuQMaGXieL. Robust and adaptive variable structure output feedback control of uncertain systems with input nonlinearity. Automatica2008; 44(2): 552–559.
20.
JasimNFJasimIF. Robust control design for spacecraft attitude systems with unknown dead zone. In: 2011 IEEE international conference on control system, computing and engineering, Penang, Malaysia, 25–27 November 2011paper no. ID44-1569507533.
21.
TsiotrasPLonguskiJM. Analytic solution of Euler’s equations of motion for an asymmetric rigid body. ASME J Appl Mech1996; 63(1): 149–155.
22.
TsiotrasPLonguskiJM. Spin-axis stabilization of symmetric spacecraft with two controls torques. Syst Contr Lett1994; 23(6): 395–404.
IoannouPSunJ. Robust adaptive control. Upper Saddle River, NJ: Prentice-Hall, 1996.
25.
SpoonerJTMaggioreMOrdóňezR. Stable adaptive control and estimation for nonlinear systems: Neural and fuzzy approximator techniques. New York: John Wiley & Sons, Inc., 2002.
