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.
|Pages (de - à)||897-908|
|Nombre de pages||12|
|journal||ESAIM : Control, Optimisation and Calculus of Variations|
|Numéro de publication||4|
|Etat de la publication||Publié - 1 oct. 2008|