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Determination of a transfer function matrix in multivariable systems

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3 Author(s)
R. J. Perry ; Dept. of Electr. Eng., Villanova Univ., PA, USA ; H. H. Sun ; W. A. Berger

A conceptually simple method is presented for determining the system transfer function matrix of linear multivariable systems described by their state-space equations. The polynomial coefficients of the transfer function matrix are computed directly by using the controllability matrix method and the transformation to canonical (phase-variable) form matrices, even if the transformation matrices are singular. The method does not require matrix inversion and calculation of eigenvalues, and requires only O(n3) operations

Published in:

IEEE Transactions on Automatic Control  (Volume:33 ,  Issue: 3 )