Wave suppression by nonlinear finite-dimensional control

Author

Armaou, Antonios ; Christofides, Panagiotis D.

Author_Institution

Dept. of Chem. Eng., California Univ., Los Angeles, CA, USA

Volume

2

fYear

1999

fDate

2-4 Jun 1999

Firstpage

1091

Abstract

Korteweg-de Vries-Burgers (KdVB) and Kuramoto-Sivashinsky (KS) equations are two nonlinear partial differential equations (PDEs) which can adequately describe motion of waves in a variety of fluid flow processes. We synthesize nonlinear finite-dimensional output feedback controllers for the KdVB and KS equations that enhance convergence rate and achieve stabilization to spatially uniform steady-states, respectively. The controllers use measurements obtained by point sensors and are implemented through point control actuators. The performance of the proposed controllers is successfully tested through simulations

Keywords

control system synthesis; convergence; feedback; multidimensional systems; nonlinear control systems; stability; wave equations; Korteweg-de Vries-Burgers equations; Kuramoto-Sivashinsky equation; convergence rate; fluid flow processes; nonlinear finite-dimensional control; nonlinear partial differential equations; output feedback controllers; point control actuators; point sensors; spatially uniform steady-states; stabilization; wave suppression; Actuators; Convergence; Differential equations; Fluid flow; Fluid flow control; Nonlinear equations; Output feedback; Partial differential equations; Steady-state; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

American Control Conference, 1999. Proceedings of the 1999

Conference_Location

San Diego, CA

ISSN

0743-1619

Print_ISBN

0-7803-4990-3

Type

conf

DOI

10.1109/ACC.1999.783209

Filename

783209