An explicit expression for the minimum-phase image of transfer function matrices

Author

Shaked, U.

Author_Institution

Dept. of Electron. Syst., Tel-Aviv Univ., Israel

Volume

34

Issue

12

fYear

1989

fDate

12/1/1989 12:00:00 AM

Firstpage

1290

Lastpage

1293

Abstract

A simple expression is obtained for the transfer function matrix of the minimum-phase image of a left invertible continuous-time invariant system with zeros in the right half-plane that may be of multiplicities greater than one. This expression is obtained by multiplying the system transfer function matrix, from the right, by a special inner matrix, and it is explicitly given in terms of the input zero directions that correspond to the zeros of the system in the right half-plane. The result provides a simple expression for the inner-outer factorization of transfer function matrices, and it can thus be used in H_∞-optimal control

Keywords

linear systems; matrix algebra; poles and zeros; transfer functions; H_∞-optimal control; continuous time system; inner matrix; inner-outer factorization; invariant system; left invertible system; minimum-phase image; right half-plane; transfer function matrices; zeros; Circuit theory; Circuits and systems; Closed-form solution; Control theory; Eigenvalues and eigenfunctions; Interpolation; Linear approximation; MIMO; Robustness; Transfer functions;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.40778

Filename

40778