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On decentralized dynamic pole placement and feedback stabilization


Ravi, M; Rosenthal, J; Wang, X (1995). On decentralized dynamic pole placement and feedback stabilization. IEEE Transactions on Automatic Control, 40(9):1603-1614.

Abstract

In this paper we study the feedback control problem using an r-channel decentralized dynamic feedback control scheme. We will develop the theory in the behavioral framework. Using this framework we introduce an algebraic parameterization of the space of all possible feedback compensators having a bounded McMillan degree, and we show that this parameterization has the structure of an algebraic variety. We define the pole-placement map for this problem, and we give exact conditions when this map is onto, and almost onto. Finally we provide new necessary and sufficient conditions which guarantee that the set of stabilizable plants is a generic set.

Abstract

In this paper we study the feedback control problem using an r-channel decentralized dynamic feedback control scheme. We will develop the theory in the behavioral framework. Using this framework we introduce an algebraic parameterization of the space of all possible feedback compensators having a bounded McMillan degree, and we show that this parameterization has the structure of an algebraic variety. We define the pole-placement map for this problem, and we give exact conditions when this map is onto, and almost onto. Finally we provide new necessary and sufficient conditions which guarantee that the set of stabilizable plants is a generic set.

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Additional indexing

Item Type:Journal Article, refereed, original work
Communities & Collections:07 Faculty of Science > Institute of Mathematics
Dewey Decimal Classification:510 Mathematics
Scopus Subject Areas:Physical Sciences > Control and Systems Engineering
Physical Sciences > Computer Science Applications
Physical Sciences > Electrical and Electronic Engineering
Uncontrolled Keywords:algebraic parameterization , bounded McMillan degree , decentralized dynamic pole placement , feedback compensators , feedback stabilization , necessary and sufficient conditions , pole-placement map , r-channel decentralized dynamic feedback control scheme
Language:English
Date:1995
Deposited On:19 Mar 2010 08:01
Last Modified:03 Dec 2023 02:42
Publisher:IEEE
ISSN:0018-9286
Additional Information:© 1995 IEEE. Personal use of this material is permitted. However, permission to reprint/republish this material for advertising or promotional purposes or for creating new collective works for resale or redistribution to servers or lists, or to reuse any copyrighted component of this work in other works must be obtained from the IEEE.
OA Status:Green
Publisher DOI:https://doi.org/10.1109/9.412629