Title :
Determination of a transfer function matrix in multivariable systems
Author :
Perry, R.J. ; Sun, H.H. ; Berger, W.A.
Author_Institution :
Dept. of Electr. Eng., Villanova Univ., PA, USA
fDate :
3/1/1988 12:00:00 AM
Abstract :
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
Keywords :
controllability; linear systems; matrix algebra; multivariable control systems; state-space methods; transfer functions; controllability matrix; eigenvalues; linear multivariable systems; polynomial coefficients; state-space; transfer function matrix; transformation matrices; Algorithm design and analysis; Controllability; Eigenvalues and eigenfunctions; Frequency; Laplace equations; MIMO; Polynomials; Sun; Transfer functions; Vectors;
Journal_Title :
Automatic Control, IEEE Transactions on
