Applied Mathematics and Mechanics (English Edition) ›› 2008, Vol. 29 ›› Issue (8): 1013-1021 .doi: https://doi.org/10.1007/s10483-008-0805-2

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Steering laws analysis of SGCMGs based on singular value decomposition theory

ZHANG Jing-rui   

  1. Beijing Institute of Technology, School of Aerospace Science Engineering, Beijing 100081, P. R. China
  • Received:2008-06-10 Revised:1900-01-01 Online:2008-08-18 Published:2008-08-18
  • Contact: ZHANG Jing-rui

Abstract: The steering laws of single gimbal control moment gyros (SGCMGs) are analyzed and compared in this paper for a spacecraft attitude control system based on singular value decomposition (SVD) theory. The mechanism of steering laws escaping singularity, especially how the steering laws affect singularity of gimbal configuration and the output torque error, is studied using SVD theory. Performance of various steering laws are analyzed and compared quantitatively by simulation. The obtained results can be used as a reference for designers.

Key words: single gimbal control moment gyros, singular value decomposition, steering law, singularity

2010 MSC Number: 

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