Wave suppression by nonlinear finite-dimensional control

Antonios Armaou; Panagiotis D. Christofides

Wave suppression by nonlinear finite-dimensional control

Antonios Armaou
, Panagiotis D. Christofides

Chemical Engineering

Research output: Contribution to journal › Conference article › peer-review

3 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1091-1095
Number of pages	5
Journal	Proceedings of the American Control Conference
Volume	2
State	Published - 1999
Event	Proceedings of the 1999 American Control Conference (99ACC) - San Diego, CA, USA Duration: Jun 2 1999 → Jun 4 1999

All Science Journal Classification (ASJC) codes

Electrical and Electronic Engineering

Cite this

@article{03557a4fba1d4965806a219bdebc6235,

title = "Wave suppression by nonlinear finite-dimensional control",

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.",

author = "Antonios Armaou and Christofides, \{Panagiotis D.\}",

note = "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.; Proceedings of the 1999 American Control Conference (99ACC) ; Conference date: 02-06-1999 Through 04-06-1999",

year = "1999",

language = "English (US)",

volume = "2",

pages = "1091--1095",

journal = "Proceedings of the American Control Conference",

issn = "0743-1619",

publisher = "Institute of Electrical and Electronics Engineers Inc.",

}

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.

UR - https://www.scopus.com/pages/publications/0033283355

UR - https://www.scopus.com/pages/publications/0033283355#tab=citedBy

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 -

Wave suppression by nonlinear finite-dimensional control

Abstract

All Science Journal Classification (ASJC) codes

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