Nonstandard H-inf control based on (J,J^0)-dissipative factorization


Baramov, L. and Kimura, H. (2000) Nonstandard H-inf control based on (J,J^0)-dissipative factorization. Int. Journal of Robust and Nonlinear Control

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Description/Abstract

This paper proposes a new approach to solving a class of nonstandard $H_\infty$ control problems. It deals with cases where the transfer matrix from the external input to the measurement output is assumed to be invertible at infinity and to have no zero on the imaginary axis. However, there is no assumption about 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. It extends the well-known approach to the standard $H_\infty$ control based on the $(J,J')$-lossless factorization while preserving its simplicity. We provide also a parametrization of the set of controllers solving the given problem.

Item Type: Article
Additional Information: Submitted for publication
Divisions: Faculty of Physical and Applied Science > Electronics and Computer Science
Item ID: 252471
Date Deposited: 29 Jan 2000
Last Modified: 01 Mar 2012 10:30
Contributors: Baramov, L. (Author)
Kimura, H. (Author)
Date: 29 January 2000
Additional Information: Submitted for publication
Status: Unpublished
Further Information:Google Scholar
URI: http://eprints.soton.ac.uk/id/eprint/252471

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