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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
control system synthesis
reduced order systems
Digital Object Identifier: 10.1109/ACC.2001.946304
Published with permission from the copyright holder. This is the institute's copy, as published in American Control Conference, 2001. Proceedings of the 2001, 25-27 June 2001, Vol. 4, Pages 2761-2766.
Copyright © 2001 IEEE. All rights reserved.
American Control Conference