Abstract
Based on the singular value decomposition theory, this paper analyzed the mechanism of escaping/avoiding singularity using generalized and weighted singularity-robust steering laws for a spacecraft that uses single gimbal control moment gyros (SGCMGs) as the actuator for the attitude control system. The expression of output-torque error is given at the point of singularity, proving the incompatible relationship between the gimbal rate and the output-torque error. The method of establishing a balance between the gimbal rate and the output-torque error is discussed, and a new steering law is designed. Simulation results show that the proposed steering law can effectively drive SGCMGs to escape away from singularities.
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References
Farmer, J.E.: A reactive torque control law for gyroscopically controlled space vehicles. NASA TMX-64790 (1973)
Schaub, H., Junkins, J.L.: CMG singularity avoidance using VSCMG null motion. In: AIAA/AAS Astrodynamics Specialist Conference, 10–12 August, 1998, Boston, Massachusetts, USA, AIAA 98-4388
Ford, K.A., Hall, C.D.: Singular direction avoidance steering for control-moment gyros. Journal of Guidance Control and Dynamics 23(4), 648–656 (2000)
Wie, B., Bailey, D., Heiberg, C.: Singularity robust steering logic for redundant single-gimbal control moment gyros. Journal of Guidance, Control, and Dynamics 24(5), 865–872 (2001)
Wie, B.: New singularity escape/avoidance steering logic for control moment gyro systems. Journal of Guidance, Control, and Dynamics 28(5), 948–956 (2005)
Zhang J.R.: Steering laws analysis of SGCMGs based on singular value decomposition theory. Applied Mathematics and Mechanics 29(8), 1013–1021 (2008)
Zhang J.R., Rachid, A., Zhang, Y.: Attitude control for part actuator failure of agile small satellite. Acta Mechanica Sinica 24(4), 463–468 (2008)
Jin L., Xu S.J.: Attitude tracking control of a spacecraft using single gimbal control moment gyros and momentum wheels. Journal of Astronautics 29(3), 916–921 (2008) (in Chinese).
Jin J., Zhang J.R., Liu Z.Z.: Optimized design of controller parameters for large angle spacecraft attitude maneuvers. Journal of Tsinghua University (Science & Technology) 49(2), 289–292 (2009) (in Chinese)
Pechev, A.N.: Feedback-based steering law for control moment gyros. Journal of Guidance Control and Dynamics 30(3), 848–855 (2007)
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The project was supported by the National Natural Science Foundation of China (10872029) and the Excellent Young Scholars Research Fund of the Beijing Institute of Technology (2007YS0202).
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Jin, J., Zhang, JR. & Liu, ZZ. Error analysis and a new steering law design for spacecraft control system using SGCMGs. Acta Mech Sin 27, 803–808 (2011). https://doi.org/10.1007/s10409-011-0502-4
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DOI: https://doi.org/10.1007/s10409-011-0502-4