$(J,J^0)$-dissipative matrices and singular $H_\infty$ control


Baramov, L. (1999) $(J,J^0)$-dissipative matrices and singular $H_\infty$ control. Proceedings of the 7th Mediterranean Conference on Control and Automation , 67-79.

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Description/Abstract

This paper deals with solving a class of $H_\infty$ 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 $(J,J^0)$-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.

Item Type: Conference or Workshop Item (UNSPECIFIED)
Additional Information: CD-ROM. Organisation: IEEE Address: Haifa, Israel
Divisions: Faculty of Physical and Applied Science > Electronics and Computer Science
Item ID: 252464
Date Deposited: 03 Apr 2000
Last Modified: 01 Mar 2012 10:30
Contributors: Baramov, L. (Author)
Date: 1999
Additional Information: CD-ROM. Organisation: IEEE Address: Haifa, Israel
Status: Published
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/252464

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