An acceleration for the eigensystem realization algorithm with partial singular values decomposition |
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Authors: | Zhou Zhou and Zhou Yuxun |
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Institution: | (1) Department of Engineering Mechanics, Tsinghua University, 100084 Beijing, China |
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Abstract: | The real-time identification of dynamic parameters is important for the control system of spacecraft. The eigensystem realization
algorithm (ERA) is currently the typical method for such application. In order to identify the dynamic parameter of spacecraft
rapidly and accurately, an accelerated ERA with a partial singular values decomposition (PSVD) algorithm is presented. In
the PSVD, the Hankel matrix is reduced to dual diagonal form first, and then transformed into a tridiagonal matrix. The eigenvalues
are computed by the bisection method in terms of the Sturm property, and the corresponding eigenvectors are obtained by the
inverse iteration method. Finally, the eigenvalues and the eigenvectors are transformed into the singular values and the singular
value vectors of the original matrix. An example for space station is presented to demonstrate the efficacy and accuracy of
the proposed algorithm. |
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Keywords: | eigensystem realization algorithm partial singular value decomposition Sturm sequence dynamic parameter identification |
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