Decay rate constrained stabilization of positive systems using static output feedback
Decay rate constrained stabilization of positive systems using static output feedback
This paper investigates the stabilization problem by means of a static output feedback control for positive systems with/without interval uncertainties. The designed closed-loop system is ensured to be positive and stable with a prescribed decay rate. Necessary and sufficient conditions for the existence of such controllers are established in terms of linear matrix inequalities together with a matrix equality constraint. Furthermore, the desired static output feedback controllers can be derived directly via the cone complementarity linearization techniques. Finally, an illustrative example is presented to show the validity of results obtained in this paper
cone complementarity linearization, interval systems, linear matrix inequality, output feedback control, positive systems
44-54
Feng, Jun-e
1a6ae186-5d17-4191-9780-d716f3b89ebb
Lam, Jame
2a266701-fa2d-4f8f-8c80-9fea44c92183
Li, Ping
84293437-7ab4-4c22-b68b-937bfc57ee15
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
10 January 2011
Feng, Jun-e
1a6ae186-5d17-4191-9780-d716f3b89ebb
Lam, Jame
2a266701-fa2d-4f8f-8c80-9fea44c92183
Li, Ping
84293437-7ab4-4c22-b68b-937bfc57ee15
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Feng, Jun-e, Lam, Jame, Li, Ping and Shu, Zhan
(2011)
Decay rate constrained stabilization of positive systems using static output feedback.
International Journal of Robust and Nonlinear Control, 21 (1), .
(doi:10.1002/rnc.1575).
Abstract
This paper investigates the stabilization problem by means of a static output feedback control for positive systems with/without interval uncertainties. The designed closed-loop system is ensured to be positive and stable with a prescribed decay rate. Necessary and sufficient conditions for the existence of such controllers are established in terms of linear matrix inequalities together with a matrix equality constraint. Furthermore, the desired static output feedback controllers can be derived directly via the cone complementarity linearization techniques. Finally, an illustrative example is presented to show the validity of results obtained in this paper
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e-pub ahead of print date: 9 April 2010
Published date: 10 January 2011
Keywords:
cone complementarity linearization, interval systems, linear matrix inequality, output feedback control, positive systems
Organisations:
Mechatronics
Identifiers
Local EPrints ID: 199843
URI: http://eprints.soton.ac.uk/id/eprint/199843
ISSN: 1049-8923
PURE UUID: 52e39db9-2a83-455e-b5cb-53dbac73e517
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Date deposited: 26 Oct 2011 09:07
Last modified: 14 Mar 2024 04:17
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Author:
Jun-e Feng
Author:
Jame Lam
Author:
Ping Li
Author:
Zhan Shu
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