Computation of the transfer function for singular systems |
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Authors: | FRANCO BLANCHINI |
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Affiliation: | Dipartimento di Matematica ed Informatica , Universita' di Udine , Via Zanon 6, 33100 Udine, Italy |
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Abstract: | A method for the computation of the transfer function for linear time-invariant singular SISO systems is presented. The system must be reduced to the Hessen-berg/triangular form, then the transfer function denominator and numerator are obtained by two simple formulae derived from the expression of the determinant of a Hessenberg matrix. The problem of computing a minimal representation by removing the input and output decoupling zeros via Hessenberg/triangular form is also considered. Unitary transformations are used and so the numerical stability is preserved. An extension to multivariable systems is proposed. |
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