Model order reduction via real Schur-form decomposition |
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Authors: | RABAH W ALDHAHERI |
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Affiliation: | Department of Electrical and Computer Engineering , King Abdulaziz University , P. O. Box 9027, Jeddah, 21413, Saudi Arabia |
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Abstract: | A new algorithm is presented for computing Moore's reduced-order transfer-function matrix without calculating the balancing transformation, which tends to be ill-conditioned, especially when the original system is non-minimal or when it has very nearly uncontrollable or unobservable modes. The algorithm is based on finding the eigenspaces associated with large eigenvalues of the cross-gramian matrix Wco using the real Schur-form decomposition. The algorithm does not require a minimal model to start with. The state-space realization obtained by this method is related to the balanced realization by a non-singular matrix. An example is presented to illustrate the proposed algorithm |
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