TY - JOUR
T1 - Wave suppression by nonlinear finite-dimensional control
AU - Armaou, Antonios
AU - Christofides, Panagiotis D.
N1 - Funding Information:
Financial support for this work from a National Science Foundation CAREER award, CTS-9733509, is gratefully acknowledged.
Copyright:
Copyright 2004 Elsevier Science B.V., Amsterdam. All rights reserved.
PY - 1999
Y1 - 1999
N2 - 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.
AB - 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.
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M3 - Conference article
AN - SCOPUS:0033283355
SN - 0743-1619
VL - 2
SP - 1091
EP - 1095
JO - Proceedings of the American Control Conference
JF - Proceedings of the American Control Conference
T2 - Proceedings of the 1999 American Control Conference (99ACC)
Y2 - 2 June 1999 through 4 June 1999
ER -