A new approach for computing the state feedback gains of multivariable systems

Author

Wang, Jinn-Der ; Juang, Yau-Tarng

Author_Institution

Dept. of Electr. Eng., Nat. Central Univ., Chung-Li, Taiwan

Volume

40

Issue

10

fYear

1995

fDate

10/1/1995 12:00:00 AM

Firstpage

1823

Lastpage

1826

Abstract

This note presents some new results in linear systems. First, the relationship between the polynomial matrix description and the state-space representation of multivariable systems is clarified. Then, we show that once such a relationship is determined, the coprime matrix fraction description can be easily computed. And we can further develop a closed-form formula to solve the pole-assignment problem of multivariable systems. Such formula can be thought of as an extension of the Ackermann´s formula for MIMO systems. Thus this note potentially gives us a clearer insight into linear systems from the theoretical viewpoint

Keywords

MIMO systems; multivariable control systems; polynomial matrices; state feedback; state-space methods; MIMO systems; closed-form formula; coprime matrix fraction description; linear systems; multivariable systems; pole-assignment problem; polynomial matrix description; state feedback gains; state-space representation; Control systems; Controllability; Councils; Equations; Linear systems; MIMO; Polynomials; State feedback;

fLanguage

English

Journal_Title

Automatic Control, IEEE Transactions on

Publisher

ieee

ISSN

0018-9286

Type

jour

DOI

10.1109/9.467663

Filename

467663