TY - JOUR
T1 - Optimal LQ-feedback control for a class of first-order hyperbolic distributed parameter systems
AU - Aksikas, I.
AU - Winkin, J.J.
AU - Dochain, D.
PY - 2008/10/1
Y1 - 2008/10/1
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 (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.
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.
UR - http://www.scopus.com/inward/record.url?scp=45349096175&partnerID=8YFLogxK
U2 - 10.1051/cocv:2008015
DO - 10.1051/cocv:2008015
M3 - Article
AN - SCOPUS:45349096175
SN - 1292-8119
VL - 14
SP - 897
EP - 908
JO - ESAIM : Control, Optimisation and Calculus of Variations
JF - ESAIM : Control, Optimisation and Calculus of Variations
IS - 4
ER -