A simple derivation of the interactor matrix and its applications

An interactor matrix plays several important roles in the control system theory. In this article, we present a simple method to derive a special interactor matrix using Moore-Penrose pseudoinverse. The interactor by the proposed method has all its zeros at the origin, and has the all-pass property i...

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Bibliographic Details
Published inInternational journal of systems science Vol. 40; no. 11; pp. 1197 - 1205
Main Authors Kase, Wataru, Mutoh, Yasuhiko
Format Journal Article
LanguageEnglish
Published Abingdon Taylor & Francis Group 01.11.2009
Taylor & Francis
Subjects
all-pass property
Applied sciences
Computer science; control theory; systems
Control system synthesis
Control systems
Control theory. Systems
Derivation
discrete-time systems
Exact sciences and technology
interactor matrix
linear dynamical systems
Origins
pseudoinverse
Triangular matrix
discrete-time systems
Moore Penrose matrix
Control system
Discrete time systems
interactor matrix
Pseudoinverse
Systems theory
Dynamical system
linear dynamical systems
Linear system
all-pass property
Discrete time
Control theory
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Summary:An interactor matrix plays several important roles in the control system theory. In this article, we present a simple method to derive a special interactor matrix using Moore-Penrose pseudoinverse. The interactor by the proposed method has all its zeros at the origin, and has the all-pass property in the discrete-time. A systematic procedure to obtain an identity interactor, which has an lower triangular structure or has arbitrarily prespecified zeros, is also shown.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 23
ISSN:0020-7721
1464-5319
DOI:10.1080/00207720903037988