Polynomial factorization of large MIMO systems using SLICOT library and PolyX toolbox

The aim of this note is to present an application of the SLICOT Fortran Library and PolyX MatLab© ToolBox for polynomial factorization of large MIMO systems. The corresponding polynomial matrix fractions have been calculated for the H, U and V matrix transfer functions coming from the Youla pararnetrization of a high order system (an irrigation canal). The H (resp. U and V) matrix transfer function has 5 inputs, 10 outputs and 130 states (resp. 5, 10, 65 for U and 5, 5, 65 for V). The results proved to be very good in terms of singular values matching between the original and the factorized system (polynomial matrix fraction). Scaling has been introduced, reducing considerably the size of the polynomial coefficients, without losing precision for the singular values.