A state-space based design of generalized minimum variance controller equivalent to transfer-function based design

Author

Inoue, Akira ; Yanou, Akira ; Sato, Takao ; Hirashima, Yoichi

Author_Institution

Dept. of Syst. Eng., Okayama Univ., Japan

Volume

4

fYear

2001

fDate

2001

Firstpage

2761

Abstract

Proposes a generalized minimum variance controller (GMVC) using a state-space approach. The controller consists of a state feedback and a reduced-order observer with poles at z=0. A coprime factorization of the state-space based controller is also obtained. It is shown that the GMVC designed by state-space approach is equivalent to the GMVC given by solving Diophantine equations and a polynomial approach. The equivalence is proved by comparing coprime factorizations of the two controllers. From the results of the paper, it may be possible to apply advanced design schemes given by state-space control theory to the design of GMVC

Keywords

control system synthesis; matrix algebra; observers; polynomials; rational functions; reduced order systems; state feedback; state-space methods; transfer functions; Diophantine equations; coprime factorization; generalized minimum variance controller; polynomial approach; reduced-order observer; state feedback; state-space based design; transfer-function based design; Control systems; Control theory; Delay effects; Design engineering; Design methodology; Equations; MIMO; Polynomials; State feedback; Systems engineering and theory;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 2001. Proceedings of the 2001

Conference_Location

Arlington, VA

ISSN

0743-1619

Print_ISBN

0-7803-6495-3

Type

conf

DOI

10.1109/ACC.2001.946304

Filename

946304