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.
PY - 2000/4/7
Y1 - 2000/4/7
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 low-dimensional output feedback controllers for the KdVB and KS equations that enhance convergence rate and achieve stabilization to spatially uniform steady states, respectively. The approach used for controller synthesis employs nonlinear Galerkin's method to derive low-dimensional approximations of the PDEs, which are subsequently used for controller synthesis via geometric control methods. 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. (C) 2000 Elsevier Science Ltd. All rights reserved.
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 low-dimensional output feedback controllers for the KdVB and KS equations that enhance convergence rate and achieve stabilization to spatially uniform steady states, respectively. The approach used for controller synthesis employs nonlinear Galerkin's method to derive low-dimensional approximations of the PDEs, which are subsequently used for controller synthesis via geometric control methods. 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. (C) 2000 Elsevier Science Ltd. All rights reserved.
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U2 - 10.1016/S0009-2509(99)00544-8
DO - 10.1016/S0009-2509(99)00544-8
M3 - Article
AN - SCOPUS:0034616305
SN - 0009-2509
VL - 55
SP - 2627
EP - 2640
JO - Chemical Engineering Science
JF - Chemical Engineering Science
IS - 14
ER -