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

Author

Kase, Wataru ; Mutoh, Yasuhiko

Author_Institution

Dept. of Electr. & Electron. Syst. Eng., Osaka Inst. of Technol., Osaka, Japan

fYear

2011

fDate

20-23 June 2011

Firstpage

1516

Lastpage

1521

Abstract

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.

Keywords

discrete time systems; inverse problems; matrix decomposition; transfer function matrices; Moore-Penrose pseudoinverse; all-pass property; control system theory; discrete time system; inner-outer factorization; interactor matrix; tall transfer function matrix; Eigenvalues and eigenfunctions; Mathematical model; Poles and zeros; Polynomials; Riccati equations; all-pass property; discrete-time systems; inner-outer factorization; interactor matrix; strictly proper plant;

fLanguage

English

Publisher

ieee

Conference_Titel

Control & Automation (MED), 2011 19th Mediterranean Conference on

Conference_Location

Corfu

Print_ISBN

978-1-4577-0124-5

Type

conf

DOI

10.1109/MED.2011.5983099

Filename

5983099