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Nonstandard H control based on (J,J0)-dissipative factorization

Nonstandard H control based on (J,J0)-dissipative factorization
Nonstandard H control based on (J,J0)-dissipative factorization
This paper proposes a new approach to solving a class of nonstandard H 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,J0)-dissipative factorization. It extends the well-known approach to the standard H 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.
1049-8923
Baramov, L.
e4425a9c-2e31-4761-855c-91895363b7c6
Kimura, H.
2c968a31-76c4-4d28-8145-871266b1d431
Baramov, L.
e4425a9c-2e31-4761-855c-91895363b7c6
Kimura, H.
2c968a31-76c4-4d28-8145-871266b1d431

Baramov, L. and Kimura, H. (2000) Nonstandard H control based on (J,J0)-dissipative factorization. International Journal of Robust and Nonlinear Control.

Record type: Article

Abstract

This paper proposes a new approach to solving a class of nonstandard H 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,J0)-dissipative factorization. It extends the well-known approach to the standard H 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.

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More information

Published date: 29 January 2000
Additional Information: Submitted for publication
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 252471
URI: https://eprints.soton.ac.uk/id/eprint/252471
ISSN: 1049-8923
PURE UUID: bd6cf678-10b6-46da-9d2a-4b8b4ce5f193

Catalogue record

Date deposited: 29 Jan 2000
Last modified: 25 Jul 2018 16:32

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