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�������պ����ѧѧ�� 2008, Vol. 34 Issue (12) :1437-1440    DOI:
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Structure-preserving balanced truncation for flexible spacecraft using cross Gramian
Meng Zhanfeng, Han Chao,*
School of Astronautics, Beijing University of Aeronautics and Astronautics, Beijing 100191, China

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Abstract�� 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.
Keywords�� reduction   flexible structures   state space methods     
Received 2007-12-17;
About author: ��ռ��(1980-),��,������,��ʿ��,mengzf@gmail.com.
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��ռ��, �� ��.���ڻ��Gramian�����Ժ��������ṹƽ�⽵��[J]  �������պ����ѧѧ��, 2008,V34(12): 1437-1440
Meng Zhanfeng, Han Chao.Structure-preserving balanced truncation for flexible spacecraft using cross Gramian[J]  JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2008,V34(12): 1437-1440
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