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On the dual of a mixed H2/l1 optimisation problem

On the dual of a mixed H2/l1 optimisation problem
On the dual of a mixed H2/l1 optimisation problem
The general discrete-time Single-Input Single-Output (SISO) mixed H2/l1 control problem is considered in this paper. It is found that the existing results of duality theory cannot be directly applied to this infinite dimension optimisation problem. By means of two finite dimension approximate problems, to which duality theory can be applied, the dual of the mixed H2/l1 control problem is verified to be the limit of the duals of these two approximate problems.
1476-8186
91-98
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e
Wu, J.
5a0119e5-a760-4ff5-90b9-ec69926ce501
Chen, S.
9310a111-f79a-48b8-98c7-383ca93cbb80
Chu, J.
08744087-3532-4f12-9d8a-5c8e5d79be0e

Wu, J., Chen, S. and Chu, J. (2006) On the dual of a mixed H2/l1 optimisation problem. International Journal of Automation and Computing, 3 (1), 91-98.

Record type: Article

Abstract

The general discrete-time Single-Input Single-Output (SISO) mixed H2/l1 control problem is considered in this paper. It is found that the existing results of duality theory cannot be directly applied to this infinite dimension optimisation problem. By means of two finite dimension approximate problems, to which duality theory can be applied, the dual of the mixed H2/l1 control problem is verified to be the limit of the duals of these two approximate problems.

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Published date: January 2006
Organisations: Southampton Wireless Group

Identifiers

Local EPrints ID: 261961
URI: http://eprints.soton.ac.uk/id/eprint/261961
ISSN: 1476-8186
PURE UUID: 69339891-d7db-4dec-8f10-b3bbcc45b116

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Date deposited: 13 Feb 2006
Last modified: 14 Jan 2022 17:42

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Contributors

Author: J. Wu
Author: S. Chen
Author: J. Chu

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