(J,J0)-dissipative matrices and singular H∞ control
(J,J0)-dissipative matrices and singular H∞ control
This paper deals with solving a class of H∞ control problems where the transfer matrix from the external input to the measured output is invertible at infinity while there is no assumption about the infinite and/or imaginary-axis zeros of the transfer matrix from the control input to the penalized output. Our approach is based on the chain-scattering representation and a newly proposed (J,J0)-dissipative factorization extending thus the well-known approach of H.~Kimura, while preserving its simplicity. We provide also a characterization of the set of controllers solving the given problem.
67-79
Baramov, L.
e4425a9c-2e31-4761-855c-91895363b7c6
1999
Baramov, L.
e4425a9c-2e31-4761-855c-91895363b7c6
Baramov, L.
(1999)
(J,J0)-dissipative matrices and singular H∞ control.
Proceedings of the 7th Mediterranean Conference on Control and Automation.
.
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Abstract
This paper deals with solving a class of H∞ control problems where the transfer matrix from the external input to the measured output is invertible at infinity while there is no assumption about the infinite and/or imaginary-axis zeros of the transfer matrix from the control input to the penalized output. Our approach is based on the chain-scattering representation and a newly proposed (J,J0)-dissipative factorization extending thus the well-known approach of H.~Kimura, while preserving its simplicity. We provide also a characterization of the set of controllers solving the given problem.
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Published date: 1999
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CD-ROM. Organisation: IEEE Address: Haifa, Israel
Venue - Dates:
Proceedings of the 7th Mediterranean Conference on Control and Automation, 1999-01-01
Organisations:
Electronics & Computer Science
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Local EPrints ID: 252464
URI: http://eprints.soton.ac.uk/id/eprint/252464
PURE UUID: a21cfc92-26c2-416e-8560-354d4ad7bee8
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Date deposited: 03 Apr 2000
Last modified: 10 Dec 2021 20:27
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Author:
L. Baramov
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