An augmented system approach to static output-feedback stabilization with ?? performance for continuous-time plants
An augmented system approach to static output-feedback stabilization with ?? performance for continuous-time plants
This paper revisits the static output-feedback stabilization problem of continuous-time linear systems from a novel perspective. The closed-loop system is represented in an augmented form, which facilitates the parametrization of the controller matrix. Then, new equivalent characterizations on stability and ?? performance of the closed-loop system are established in terms of matrix inequalities. On the basis of these characterizations, a necessary and sufficient condition with slack matrices for output-feedback stabilizability is proposed, and an iteration algorithm is given to solve the condition. An extension to output-feedback ?? control is provided as well. The effectiveness and merits of the proposed approach are shown through several examples
performance, augmented representation, iterative calculation, linear matrix inequality (LMI), static output feedback, stabilization
768-785
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
10 May 2009
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan and Lam, James
(2009)
An augmented system approach to static output-feedback stabilization with ?? performance for continuous-time plants.
International Journal of Robust and Nonlinear Control, 19 (7), .
(doi:10.1002/rnc.1348).
Abstract
This paper revisits the static output-feedback stabilization problem of continuous-time linear systems from a novel perspective. The closed-loop system is represented in an augmented form, which facilitates the parametrization of the controller matrix. Then, new equivalent characterizations on stability and ?? performance of the closed-loop system are established in terms of matrix inequalities. On the basis of these characterizations, a necessary and sufficient condition with slack matrices for output-feedback stabilizability is proposed, and an iteration algorithm is given to solve the condition. An extension to output-feedback ?? control is provided as well. The effectiveness and merits of the proposed approach are shown through several examples
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e-pub ahead of print date: June 2008
Published date: 10 May 2009
Keywords:
performance, augmented representation, iterative calculation, linear matrix inequality (LMI), static output feedback, stabilization
Organisations:
Mechatronics
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Local EPrints ID: 199737
URI: http://eprints.soton.ac.uk/id/eprint/199737
ISSN: 1049-8923
PURE UUID: 89130fb2-ce8d-4885-910c-c9c606fd080c
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Date deposited: 20 Oct 2011 08:37
Last modified: 14 Mar 2024 04:16
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Author:
Zhan Shu
Author:
James Lam
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