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

Author

Malaterre, P.-O.

Author_Institution

Cemagref, Montpellier, France

fYear

2001

fDate

4-7 Sept. 2001

Firstpage

3693

Lastpage

3696

Abstract

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.

Keywords

MIMO systems; control system analysis computing; large-scale systems; matrix decomposition; polynomials; transfer functions; PolyX MatLab ToolBox; SLICOT Fortran library; Youla parametrization; high order system; large MIMO systems; matrix transfer functions; polynomial coefficients; polynomial factorization; polynomial matrix fractions; scaling; singular values; Control systems; Europe; Frequency control; Libraries; Linear programming; MATLAB; Polynomials; ℓ1 control; Youla parametrization; high-order systems; numerical tools; polynomial factorization;

fLanguage

English

Publisher

ieee

Conference_Titel

Control Conference (ECC), 2001 European

Conference_Location

Porto

Print_ISBN

978-3-9524173-6-2

Type

conf

Filename

7076508