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

A. Inoue, A. Yanou, T. Sato, Y. Hirashima

Research output: Chapter in Book/Report/Conference proceedingConference contribution

3 Citations (Scopus)

Abstract

This paper proposes a new generalized minimum variance controller (GMVC) using 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 polynomial approach. The equivalence is proved by comparing coprime factorizations of the two controllers. From the results of this paper, it may be possible to apply advanced design schemes given by state-space control theory to the design of GMVC.

Original languageEnglish
Title of host publicationProceedings of the American Control Conference
Pages2761-2766
Number of pages6
Volume4
Publication statusPublished - 2001
Event2001 American Control Conference - Arlington, VA, United States
Duration: Jun 25 2001Jun 27 2001

Other

Other2001 American Control Conference
CountryUnited States
CityArlington, VA
Period6/25/016/27/01

Fingerprint

Transfer functions
Controllers
Factorization
State feedback
Control theory
Poles
Polynomials

ASJC Scopus subject areas

  • Control and Systems Engineering

Cite this

Inoue, A., Yanou, A., Sato, T., & Hirashima, Y. (2001). A state-space based design of generalized minimum variance controller equivalent to transfer-function based design. In Proceedings of the American Control Conference (Vol. 4, pp. 2761-2766)

A state-space based design of generalized minimum variance controller equivalent to transfer-function based design. / Inoue, A.; Yanou, A.; Sato, T.; Hirashima, Y.

Proceedings of the American Control Conference. Vol. 4 2001. p. 2761-2766.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Inoue, A, Yanou, A, Sato, T & Hirashima, Y 2001, A state-space based design of generalized minimum variance controller equivalent to transfer-function based design. in Proceedings of the American Control Conference. vol. 4, pp. 2761-2766, 2001 American Control Conference, Arlington, VA, United States, 6/25/01.
Inoue A, Yanou A, Sato T, Hirashima Y. A state-space based design of generalized minimum variance controller equivalent to transfer-function based design. In Proceedings of the American Control Conference. Vol. 4. 2001. p. 2761-2766
Inoue, A. ; Yanou, A. ; Sato, T. ; Hirashima, Y. / A state-space based design of generalized minimum variance controller equivalent to transfer-function based design. Proceedings of the American Control Conference. Vol. 4 2001. pp. 2761-2766
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