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30 October 2006 Controllability study of the attitude control system for underactuated spacecraft
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Abstract
The actuators for the spacecraft attitude control system are highly complex. It is hard to avoid failing to work after longtime working on the orbit. When some actuators are broken and the number of useful actuators is less than three, the attitude control system becomes underactuated. The controllability of the underactuated attitude control system can not be guaranteed under most situations. Thus, the controllability of the attitude system was studied for the underactuated spacecraft only with two thrusters. For a nonlinear control system, if its drift vector field was weakly positively Poisson stable (WPPS), the sufficient and necessary condition of controllability was that the system satisfied the Lie algebra rank condition (LARC). From this point, the controllability of the underactuated attitude control system was studied by two steps: The first step was to show that the drift vector field was WPPS by using Liouville's theorem and Poincare's recurrence theorem. Secondly, the sufficient and necessary condition for the LARC is obtained by using Lie algebra tools. Thus, the sufficient and necessary condition for the controllability of the underactuated spacecraft attitude control system is derived.
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Hong Yang and Zhong Wu "Controllability study of the attitude control system for underactuated spacecraft", Proc. SPIE 6358, Sixth International Symposium on Instrumentation and Control Technology: Sensors, Automatic Measurement, Control, and Computer Simulation, 635831 (30 October 2006); https://doi.org/10.1117/12.718053
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