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

Akira Inoue; Akira Yanou; Takao Sato; Yoichi Hirashima

doi:10.1109/ACC.2001.946304

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

Akira Inoue, Akira Yanou, Takao Sato, Yoichi Hirashima

Faculty of Engineering

Research output: Contribution to journal › Article › peer-review

4 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 language	English
Pages (from-to)	2761-2766
Number of pages	6
Journal	Proceedings of the American Control Conference
Volume	4
DOIs	https://doi.org/10.1109/ACC.2001.946304
Publication status	Published - 2001

ASJC Scopus subject areas

Electrical and Electronic Engineering

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AB - 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.

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

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