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Nonlinear coprime factorizations and parameterization of a class of stabilizing controllers

Nonlinear coprime factorizations and parameterization of a class of stabilizing controllers
Nonlinear coprime factorizations and parameterization of a class of stabilizing controllers
New definitions for right,left and doubly coprime factorizations for nonlinear, input-affine state-space systems are introduced. These definitions are based on the state-to-output stability introduced by Baramov and Kimura (1996) and the chain-scattering formalism. Sufficient conditions for the existence of these factorizations as well as local state-space formulas for factors are given. Finally, these results are applied to obtain a parameterized set of stabilizing controllers to a fairly broad class of plants, for transforming the original feedback control configuration into the open-loop model matching configuration and for thus extending the classical Youla-Kucera parametrization to nonlinear (local) cases.
0020-3270
413-434
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. (1997) Nonlinear coprime factorizations and parameterization of a class of stabilizing controllers. International Journal of Control, 66 (3), 413-434.

Record type: Article

Abstract

New definitions for right,left and doubly coprime factorizations for nonlinear, input-affine state-space systems are introduced. These definitions are based on the state-to-output stability introduced by Baramov and Kimura (1996) and the chain-scattering formalism. Sufficient conditions for the existence of these factorizations as well as local state-space formulas for factors are given. Finally, these results are applied to obtain a parameterized set of stabilizing controllers to a fairly broad class of plants, for transforming the original feedback control configuration into the open-loop model matching configuration and for thus extending the classical Youla-Kucera parametrization to nonlinear (local) cases.

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More information

Published date: 1997
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 252462
URI: http://eprints.soton.ac.uk/id/eprint/252462
ISSN: 0020-3270
PURE UUID: 01516684-8f14-478c-9383-6152eb6d14d7

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Date deposited: 29 Jan 2000
Last modified: 07 Jan 2022 23:54

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Contributors

Author: L. Baramov
Author: H. Kimura

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