Boundary control design for cascades of hyperbolic 2 × 2 PDE systems via graph theory

Author

De Halleux, Jonathan ; Prieur, Christophe ; Bastin, Georges

Author_Institution

CESAME, Catholic Univ. of Louvain, Louvain-la-Neuve, Belgium

Volume

3

fYear

2004

fDate

17-17 Dec. 2004

Firstpage

3313

Abstract

The article is concerned with the design of boundary control laws for stabilizing systems of 2 × 2 first order quasi-linear hyperbolic PDEs. A new graph representation of such systems represents the interactions between the characteristic curves and the boundary control laws, the invariant graph, is introduced. The structure of the invariant graph is used to design stabilizing control laws and an analytical stability condition is given.

Keywords

control system synthesis; distributed parameter systems; graph theory; hyperbolic equations; partial differential equations; stability; analytical stability condition; boundary control design; boundary control laws; first order quasi-linear hyperbolic PDEs; graph representation; graph theory; hyperbolic 2 /spl Phi/ 2 PDE systems; invariant graph; stabilizing control laws; Asymptotic stability; Boundary conditions; Control design; Control systems; Graph theory; Partial differential equations; Stability analysis; Vectors;

fLanguage

English

Publisher

ieee

Conference_Titel

Decision and Control, 2004. CDC. 43rd IEEE Conference on

Conference_Location

Nassau

ISSN

0191-2216

Print_ISBN

0-7803-8682-5

Type

conf

DOI

10.1109/CDC.2004.1428992

Filename

1428992