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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.

     

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