Volume 34 Issue 12
Dec.  2008
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Meng Zhanfeng, Han Chao. Structure-preserving balanced truncation for flexible spacecraft using cross Gramian[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(12): 1437-1440. (in Chinese)
Citation: Meng Zhanfeng, Han Chao. Structure-preserving balanced truncation for flexible spacecraft using cross Gramian[J]. Journal of Beijing University of Aeronautics and Astronautics, 2008, 34(12): 1437-1440. (in Chinese)

Structure-preserving balanced truncation for flexible spacecraft using cross Gramian

  • Received Date: 17 Dec 2007
  • Publish Date: 31 Dec 2008
  • For model reduction of flexible spacecraft, conventional first-order balanced truncation(FOBT) method will destroy the second-order structure and dynamic properties of original system. In order to overcome this drawback, a new structure-preserving approximated balanced truncation method for model reduction of flexible spacecraft was proposed. The modal cost was described by a cross Gramian and the closed-form solution of cross Gamian was obtained via special form of dynamical equation of flexible spacecraft. The new method preserves the second-order structure, symmetry and positive definiteness of the original system. The numerical results show that the new method is superior to conventional first-order balanced truncation(FOBT) method for improving efficiency without sacrificing accuracy.

     

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