# Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems

Ilyasse Aksikas; Joseph J. Winkin; Denis Dochain

ESAIM: Control, Optimisation and Calculus of Variations (2008)

- Volume: 14, Issue: 4, page 897-908
- ISSN: 1292-8119

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topAksikas, Ilyasse, Winkin, Joseph J., and Dochain, Denis. "Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems." ESAIM: Control, Optimisation and Calculus of Variations 14.4 (2008): 897-908. <http://eudml.org/doc/250316>.

@article{Aksikas2008,

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 (distributed parameter) 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 is 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.
},

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

journal = {ESAIM: Control, Optimisation and Calculus of Variations},

keywords = {First-order hyperbolic PDE's; infinite-dimensional systems; LQ-optimal control; stability; optimality; first-order hyperbolic PDE's},

language = {eng},

month = {2},

number = {4},

pages = {897-908},

publisher = {EDP Sciences},

title = {Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems},

url = {http://eudml.org/doc/250316},

volume = {14},

year = {2008},

}

TY - JOUR

AU - Aksikas, Ilyasse

AU - Winkin, Joseph J.

AU - Dochain, Denis

TI - Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems

JO - ESAIM: Control, Optimisation and Calculus of Variations

DA - 2008/2//

PB - EDP Sciences

VL - 14

IS - 4

SP - 897

EP - 908

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 (distributed parameter) 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 is 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.

LA - eng

KW - First-order hyperbolic PDE's; infinite-dimensional systems; LQ-optimal control; stability; optimality; first-order hyperbolic PDE's

UR - http://eudml.org/doc/250316

ER -

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