Title :
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
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;
Conference_Titel :
Decision and Control, 2004. CDC. 43rd IEEE Conference on
Conference_Location :
Nassau
Print_ISBN :
0-7803-8682-5
DOI :
10.1109/CDC.2004.1428992
