A simple derivation of interactor matrix and its applications

Author

Kase, Wataru ; Mutoh, Yasuhiko ; Teranishi, Makoto

Author_Institution

Dept. of Electr. Eng., Osaka Inst. of Technol., Japan

Volume

1

fYear

1999

fDate

1999

Firstpage

493

Abstract

An interactor matrix plays several important roles in the control system theory. In this paper, we present a simple method to derive the special interactor matrix using Moore-Penrose pseudo-inverse. The interactor derived by the proposed method has all its zeros at the origin, and has the all-pass property in the discrete-time. It is shown that the feedback gain of the inverted interactor using the canonical interactor is equivalent to the LQ optimal gain for singular weighting. A systematic procedure to obtain the identity interactor, which has the arbitrarily pre-specified zeros, is also shown

Keywords

Toeplitz matrices; discrete time systems; feedback; linear quadratic control; polynomial matrices; transfer function matrices; LQ control; Moore-Penrose pseudoinverse; Toeplitz matrix; discrete-time systems; feedback gain; interactor matrix; optimal control; polynomial matrix; singular weighting; transfer function matrix; Adaptive control; Application software; Computer science; Control systems; Educational institutions; Equations; Feedback; Mechanical engineering; Polynomials; Regulators;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 1999. Proceedings of the 38th IEEE Conference on

Conference_Location

Phoenix, AZ

ISSN

0191-2216

Print_ISBN

0-7803-5250-5

Type

conf

DOI

10.1109/CDC.1999.832827

Filename

832827