AustralieFrV1, Main, Exploration, bibRecord, 008706

ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs

Identifieur interne : 008706 ( Main/Exploration ); précédent : 008705; suivant : 008707

ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs

Auteurs : D. F. Coutinho [Brésil] ; M. Fu [Australie] ; A. Trofino [Brésil] ; P. Danès [France]

Source :

International Journal of Robust and Nonlinear Control [ 1049-8923 ] ; 2008-01-10.

RBID : ISTEX:52034138E91451B9BFACB69C21571B75C5AD6CAA

Descripteurs français

Wicri :
- topic : Droit d'auteur, Industrie électrotechnique.

English descriptors

Abstract

This paper proposes a convex approach to regional stability and ℒ︁2‐gain analysis and control synthesis for a class of nonlinear systems subject to bounded disturbance signals, where the system matrices are allowed to be rational functions of the state and uncertain parameters. To derive sufficient conditions for analysing input‐to‐output properties, we consider polynomial Lyapunov functions of the state and uncertain parameters (assumed to be bounded) and a differential‐algebraic representation of the nonlinear system. The analysis conditions are written in terms of linear matrix inequalities determining a bound on the ℒ︁2‐gain of the input‐to‐output operator for a class of (bounded) admissible disturbance signals. Through a suitable parametrization involving the Lyapunov and control matrices, we also propose a linear (full‐order) output feedback controller with a guaranteed bound on the ℒ︁2‐gain. Numerical examples are used to illustrate the proposed approach. Copyright © 2007 John Wiley & Sons, Ltd.

Url:

https://api.istex.fr/document/52034138E91451B9BFACB69C21571B75C5AD6CAA/fulltext/pdf

DOI: 10.1002/rnc.1207

Affiliations:

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Le document en format XML

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<front><div type="abstract" xml:lang="en">This paper proposes a convex approach to regional stability and ℒ︁2‐gain analysis and control synthesis for a class of nonlinear systems subject to bounded disturbance signals, where the system matrices are allowed to be rational functions of the state and uncertain parameters. To derive sufficient conditions for analysing input‐to‐output properties, we consider polynomial Lyapunov functions of the state and uncertain parameters (assumed to be bounded) and a differential‐algebraic representation of the nonlinear system. The analysis conditions are written in terms of linear matrix inequalities determining a bound on the ℒ︁2‐gain of the input‐to‐output operator for a class of (bounded) admissible disturbance signals. Through a suitable parametrization involving the Lyapunov and control matrices, we also propose a linear (full‐order) output feedback controller with a guaranteed bound on the ℒ︁2‐gain. Numerical examples are used to illustrate the proposed approach. Copyright © 2007 John Wiley & Sons, Ltd.</div>
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ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs

ℒ︁2‐Gain analysis and control of uncertain nonlinear systems with bounded disturbance inputs

Source :

Descripteurs français

English descriptors

Abstract

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