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Nonlinear $L_2$-gain suboptimal control

Nonlinear $L_2$-gain suboptimal control
Nonlinear $L_2$-gain suboptimal control
A method of solving the nonlinear local $L_2$-gain suboptimal control problem based on the chain-scattering approach is proposed. This problem requires $L_2$-gain of the closed loop to be less than one and closed loop internal stability defined in the small signal input-output sense. We obtained sufficient conditions for the existence of a suboptimal controller in terms of state-space description of the plant as well as a local state-space parameterization of a class of controllers solving the local $L_2$-gain suboptimal problem. The design procedure is demonstrated in a numerical example.
0005-1098
1247-1262
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 $L_2$-gain suboptimal control. Automatica, 33, 1247-1262.

Record type: Article

Abstract

A method of solving the nonlinear local $L_2$-gain suboptimal control problem based on the chain-scattering approach is proposed. This problem requires $L_2$-gain of the closed loop to be less than one and closed loop internal stability defined in the small signal input-output sense. We obtained sufficient conditions for the existence of a suboptimal controller in terms of state-space description of the plant as well as a local state-space parameterization of a class of controllers solving the local $L_2$-gain suboptimal problem. The design procedure is demonstrated in a numerical example.

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More information

Published date: 1997
Organisations: Electronics & Computer Science

Identifiers

Local EPrints ID: 252461
URI: http://eprints.soton.ac.uk/id/eprint/252461
ISSN: 0005-1098
PURE UUID: d4ba319e-f150-4e20-8c0d-d92998ab37ba

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Date deposited: 29 Jan 2000
Last modified: 08 Jan 2022 08:46

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Contributors

Author: L. Baramov
Author: H. Kimura

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