Volume 32 Issue 11
Nov.  2006
Turn off MathJax
Article Contents
Wu Zhong, Wei Kongming. Observer-based steering law design for control moment gyroscopes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(11): 1295-1298. (in Chinese)
Citation: Wu Zhong, Wei Kongming. Observer-based steering law design for control moment gyroscopes[J]. Journal of Beijing University of Aeronautics and Astronautics, 2006, 32(11): 1295-1298. (in Chinese)

Observer-based steering law design for control moment gyroscopes

  • Received Date: 30 Apr 2006
  • Publish Date: 30 Nov 2006
  • Usually, the pseudo inverse of the Jacobian matrix needs to be calculated in the conventional steering laws for single gimbal control moment gyroscopes (SGCMG). However, the steering law does not work when the Jacobian matrix is singular and its pseudo inverse is indefinite. Therefore, the problem of the steering law design for SGCMG is transformed into the state observation of a certain nonlinear system and a new steering law is derived. This algorithm can deal with the singular conditions because it uses the transpose instead of the pseudo inverse of the Jacobian matrix. Theoretical analysis indicates that this algorithm can make the steering error converge to zero asymptotically through the proper choice of the parameters. Compared with the other steering laws, this algorithm has advantages on simple form, little calculation burden, and easy implementation. Finally, the simulation analysis is conducted for a certain SGCMG system mountedon a rigid spacecraft. Simulation results demonstrate that the steering law presented above is feasible.

     

  • loading
  • [1] 吴忠, 吴宏鑫. 单框架控制力矩陀螺系统操纵律研究综述[J]. 宇航学报, 2000, 21(4):140-145 Wu Zhong, Wu Hongxin. Survey on steering laws for single gimbal control moment gyroscope systems[J]. Journal of Astronautics, 2000, 21(4):140-145(in Chinese) [2] Paradiso J A. Global steering of single gimballed control moment gyroscopes using a directed search[J]. Journal of Guidance, Control and Dynamics, 1992, 15(5):1236-1244 [3] Vadali S R, Oh H-S, Walker S R. Prefered gimbal angles for single gimbal control moment gyros[J]. Journal of Guidance, Control and Dynamics, 1990, 13(6):1090-1095 [4] Ford K A, Hall C D. Singular direction avoidance steering for control-moment gyros[J]. Journal of Guidance, Control, and Dynamics, 2000, 23(4):648-656 [5] Wie B, Bailey D, Heiberg C. Singularity robust steering logic for redundant single-gimbal control moment gyros[J]. Journal of Guidance, Control and Dynamics, 2001, 24(5):865-872 [6] Wie B. Singularity escape/avoidance steering logic for control moment gyro systems[J]. Journal of Guidance, Control and Dynamics, 2005, 28(5):948-956 [7] Tekinalp O, Yavuzoglu E. A new steering law for redundant control moment gyroscope clusters[J]. Aerospace Science and Technology, 2005, 9(4):626-634 [8] Krishnan S, Vadali S R. An inverse-free technique for attitude control of spacecraft using CMGs[J]. Acta Astronautica, 1996, 39(6):431-438 [9] 吴忠. 单框架控制力矩陀螺动态操纵律设计[J]. 宇航学报, 2005, 26(1):24-28 Wu Zhong. Dynamic steering law design for redundant single gimbal control moment gyroscopes [J]. Journal of Astronautics, 2005, 26(1):24-28(in Chinese) [10] Kou S R, Elliott D L, Tarn T J. Exponential observers for nonlinear dynamic systems[J]. Information and Control, 1975, 29:393-42 [11] 吴忠, 吴宏鑫. SGCMG系统非奇异路径规划[J]. 控制理论与应用, 1999,16(1):21-26 Wu Zhong, Wu Hongxin. Nonsingular path planning in single gimbal control moment gyroscope systems[J]. Control Theory and Applications, 1999, 16(1):21-26(in Chinese)
  • 加载中

Catalog

    通讯作者: 陈斌, bchen63@163.com
    • 1. 

      沈阳化工大学材料科学与工程学院 沈阳 110142

    1. 本站搜索
    2. 百度学术搜索
    3. 万方数据库搜索
    4. CNKI搜索

    Article Metrics

    Article views(2859) PDF downloads(961) Cited by()
    Proportional views
    Related

    /

    DownLoad:  Full-Size Img  PowerPoint
    Return
    Return