LQ-Optimal Control of a Class of First-Order Hyperbolic PDE´s Systems

Author

Aksikas, Ilyasse ; Winkin, Joseph J. ; Dochain, Denis

Author_Institution

Dept. of Chem. & Mater. Eng., Alberta Univ., Edmonton, Alta.

fYear

2006

fDate

13-15 Dec. 2006

Firstpage

3944

Lastpage

3949

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

algebra; hyperbolic equations; linear quadratic control; multidimensional systems; nonlinear control systems; partial differential equations; state-space methods; Riccati algebraic equation; closed-loop system; first-order hyperbolic PDE systems; infinite-dimensional systems; linear-quadratic optimal control; matrix Riccati differential equation; nonlinear infinite-dimensional Hilbert state-space description; nonlinear model; partial differential equation; stability; Control systems; Differential algebraic equations; Differential equations; Nonlinear control systems; Nonlinear equations; Optimal control; Partial differential equations; Performance analysis; Riccati equations; Stability; First-order hyperbolic PDE´s; LQ-optimal control; infinite-dimensional systems; optimality; stability;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2006 45th IEEE Conference on

Conference_Location

San Diego, CA

Print_ISBN

1-4244-0171-2

Type

conf

DOI

10.1109/CDC.2006.377370

Filename

4177441