LQ-optimal control of a class of first-order hyperbolic PDE's systems

Ilyasse Aksikas; Joseph J. Winkin; Denis Dochain

LQ-optimal control of a class of first-order hyperbolic PDE's systems

Ilyasse Aksikas, Joseph J. Winkin, Denis Dochain

Universite de Namur

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

Résumé

The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution can be obtained via a related matrix Riccati differential equation in the space variable. Then the latter is applied to the nonlinear model, and the resulting closed-loop system dynamical performances are analyzed.

langue originale	Anglais
titre	Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC
Pages	3944-3949
Nombre de pages	6
Etat de la publication	Publié - 1 déc. 2006
Evénement	45th IEEE Conference on Decision and Control 2006, CDC - San Diego, CA, États-Unis Durée: 13 déc. 2006 → 15 déc. 2006

Une conférence

Une conférence	45th IEEE Conference on Decision and Control 2006, CDC
Pays/Territoire	États-Unis
La ville	San Diego, CA
période	13/12/06 → 15/12/06

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title = "LQ-optimal control of a class of first-order hyperbolic PDE's systems",

abstract = "The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution can be obtained via a related matrix Riccati differential equation in the space variable. Then the latter is applied to the nonlinear model, and the resulting closed-loop system dynamical performances are analyzed.",

keywords = "First-order hyperbolic PDE's, Infinite-dimensional systems, LQ-optimal control, Optimality, Stability",

author = "Ilyasse Aksikas and Winkin, {Joseph J.} and Denis Dochain",

year = "2006",

month = dec,

day = "1",

language = "English",

isbn = "1424401712",

pages = "3944--3949",

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note = "45th IEEE Conference on Decision and Control 2006, CDC ; Conference date: 13-12-2006 Through 15-12-2006",

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LQ-optimal control of a class of first-order hyperbolic PDE's systems. / Aksikas, Ilyasse; Winkin, Joseph J.; Dochain, Denis.
Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC. 2006. p. 3944-3949 4177441.

Résultats de recherche: Contribution dans un livre/un catalogue/un rapport/dans les actes d'une conférence › Article dans les actes d'une conférence/un colloque

TY - GEN

T1 - LQ-optimal control of a class of first-order hyperbolic PDE's systems

AU - Aksikas, Ilyasse

AU - Winkin, Joseph J.

AU - Dochain, Denis

PY - 2006/12/1

Y1 - 2006/12/1

N2 - The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution can be obtained via a related matrix Riccati differential equation in the space variable. Then the latter is applied to the nonlinear model, and the resulting closed-loop system dynamical performances are analyzed.

AB - The Linear-Quadratic (LQ) optimal control problem is studied for a class of first-order hyperbolic partial differential equation models by using a nonlinear infinite-dimensional Hilbert state-space description. First the dynamical properties of the linearized model around some equilibrium profile are studied. Next the LQ-feedback operator is computed by using the corresponding operator Riccati algebraic equation whose solution can be obtained via a related matrix Riccati differential equation in the space variable. Then the latter is applied to the nonlinear model, and the resulting closed-loop system dynamical performances are analyzed.

KW - First-order hyperbolic PDE's

KW - Infinite-dimensional systems

KW - LQ-optimal control

KW - Optimality

KW - Stability

UR - http://www.scopus.com/inward/record.url?scp=39649092478&partnerID=8YFLogxK

M3 - Conference contribution

SN - 1424401712

SN - 9781424401710

SP - 3944

EP - 3949

BT - Proceedings of the 45th IEEE Conference on Decision and Control 2006, CDC

T2 - 45th IEEE Conference on Decision and Control 2006, CDC

Y2 - 13 December 2006 through 15 December 2006

ER -

LQ-optimal control of a class of first-order hyperbolic PDE's systems

Résumé

Une conférence

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