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 |
|---|---|
| Title of host publication | Proceedings of the American Control Conference |
| Pages | 2761-2766 |
| Number of pages | 6 |
| Volume | 4 |
| Publication status | Published - 2001 |
| Event | 2001 American Control Conference - Arlington, VA, United States Duration: Jun 25 2001 → Jun 27 2001 |
Other
| Other | 2001 American Control Conference |
|---|---|
| Country | United States |
| City | Arlington, VA |
| Period | 6/25/01 → 6/27/01 |
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ASJC Scopus subject areas
- Control and Systems Engineering
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - A state-space based design of generalized minimum variance controller equivalent to transfer-function based design
AU - Inoue, A.
AU - Yanou, A.
AU - Sato, T.
AU - Hirashima, Y.
PY - 2001
Y1 - 2001
N2 - 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.
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.
UR - http://www.scopus.com/inward/record.url?scp=0034848504&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0034848504&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0034848504
VL - 4
SP - 2761
EP - 2766
BT - Proceedings of the American Control Conference
ER -