Dissipative control for linear systems by static output
feedback
Dissipative control for linear systems by static output
feedback
In this article, the problem of static output-feedback dissipative control is investigated for linear continuous-time system based on an augmented system approach. A necessary and sufficient condition for stability and strict (Q,S,R)-dissipativity of the closed-loop system is established in terms of a matrix inequality with free parametrisation matrix. An equivalent characterisation with some slack matrices for numerical solvability is then proposed. Based on this, a necessary and sufficient condition for the existence of a desired controller is given, and a corresponding iterative algorithm is developed to solve the condition. The effectiveness of results developed in this article is demonstrated by some numerical examples.
Feng, Zhiguang
c006634b-7b2e-413d-a93e-35f41c495db4
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Feng, Zhiguang
c006634b-7b2e-413d-a93e-35f41c495db4
Lam, James
3eea3836-efda-430c-9ad4-ae4f3d4b8c4a
Shu, Zhan
ea5dc18c-d375-4db0-bbcc-dd0229f3a1cb
Feng, Zhiguang, Lam, James and Shu, Zhan
(2012)
Dissipative control for linear systems by static output
feedback.
International Journal of Systems Science.
(doi:10.1080/00207721.2012.659698).
(In Press)
Abstract
In this article, the problem of static output-feedback dissipative control is investigated for linear continuous-time system based on an augmented system approach. A necessary and sufficient condition for stability and strict (Q,S,R)-dissipativity of the closed-loop system is established in terms of a matrix inequality with free parametrisation matrix. An equivalent characterisation with some slack matrices for numerical solvability is then proposed. Based on this, a necessary and sufficient condition for the existence of a desired controller is given, and a corresponding iterative algorithm is developed to solve the condition. The effectiveness of results developed in this article is demonstrated by some numerical examples.
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Accepted/In Press date: 7 March 2012
Organisations:
Mechatronics
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Local EPrints ID: 344755
URI: http://eprints.soton.ac.uk/id/eprint/344755
ISSN: 0020-7721
PURE UUID: 7976498b-d11a-4264-82d5-30ecdd15673a
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Date deposited: 01 Nov 2012 11:41
Last modified: 14 Mar 2024 12:17
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Author:
Zhiguang Feng
Author:
James Lam
Author:
Zhan Shu
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