A simple derivation of right interactor for tall plant and its application to inner-outer factorization

An interactor matrix plays several important roles in the control system theory. In this paper, we present a simple method to derive the right interactor for tall transfer function matrix using Moore-Penrose pseudoinverse. By the presented method, all zeros of the interactor lie at the origin. Moreo...

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Bibliographic Details
Published in2011 19th Mediterranean Conference on Control & Automation (MED) pp. 1516 - 1521
Main Authors Kase, Wataru, Mutoh, Yasuhiko
Format Conference Proceeding
LanguageEnglish
Published IEEE 01.06.2011
Subjects
all-pass property
discrete-time systems
Eigenvalues and eigenfunctions
inner-outer factorization
interactor matrix
Mathematical model
Poles and zeros
Polynomials
Riccati equations
strictly proper plant
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Summary:An interactor matrix plays several important roles in the control system theory. In this paper, we present a simple method to derive the right interactor for tall transfer function matrix using Moore-Penrose pseudoinverse. By the presented method, all zeros of the interactor lie at the origin. Moreover, the interactor by the proposed method has all-pass property in discrete-time. The method will be applied to the inner-outer factorization. It will be shown that the choice of interactor does not influence the result of the factorization.
ISBN:9781457701245
1457701243
DOI:10.1109/MED.2011.5983099