TY - JOUR
T1 - A state-space based design of generalized minimum variance controller equivalent to transfer-function based design
AU - Inoue, Akira
AU - Yanou, Akira
AU - Sato, Takao
AU - Hirashima, Yoichi
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
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.
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U2 - 10.1109/ACC.2001.946304
DO - 10.1109/ACC.2001.946304
M3 - Article
AN - SCOPUS:0034848504
VL - 4
SP - 2761
EP - 2766
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
SN - 0743-1619
ER -