PDE control of a rotating shear beam with boundary feedback

Mustafa Dogan; Omer Morgul

doi:10.23919/ecc.2009.7074511

PDE control of a rotating shear beam with boundary feedback

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › peer-review

Abstract

We consider a flexible structure modeled as a shear beam which is clamped to a rigid body at one end and is free at the other end. The whole structure is free to rotate on the horizontal plane. We first model the system by using Partial Differential Equations (PDE) and we propose boundary feedback laws to achieve set point regulation of the rotation angle as well as to suppress the elastic vibrations. The proposed control laws are based on PDE model, hence we do not resort to discretization of the system equations by available methods. We utilize a coordinate transformation based on an invertible integral transformation by using Volterra form and backstepping techniques. We also present some simulation results.

Original language	English
Title of host publication	2009 European Control Conference, ECC 2009
Publisher	Institute of Electrical and Electronics Engineers Inc.
Pages	856-861
Number of pages	6
ISBN (Electronic)	9783952417393
DOIs	https://doi.org/10.23919/ecc.2009.7074511
Publication status	Published - 26 Mar 2014
Externally published	Yes
Event	2009 10th European Control Conference, ECC 2009 - Budapest, Hungary Duration: 23 Aug 2009 → 26 Aug 2009

Publication series

Name	2009 European Control Conference, ECC 2009

Conference

Conference	2009 10th European Control Conference, ECC 2009
Country/Territory	Hungary
City	Budapest
Period	23/08/09 → 26/08/09

Bibliographical note

Publisher Copyright:
© 2009 EUCA.

Keywords

Backstepping
Boundary control
Flexible systems
Kernel functions
Partial differential equations
Shear beam
Volterra transformation

Access to Document

10.23919/ecc.2009.7074511

Cite this

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title = "PDE control of a rotating shear beam with boundary feedback",

abstract = "We consider a flexible structure modeled as a shear beam which is clamped to a rigid body at one end and is free at the other end. The whole structure is free to rotate on the horizontal plane. We first model the system by using Partial Differential Equations (PDE) and we propose boundary feedback laws to achieve set point regulation of the rotation angle as well as to suppress the elastic vibrations. The proposed control laws are based on PDE model, hence we do not resort to discretization of the system equations by available methods. We utilize a coordinate transformation based on an invertible integral transformation by using Volterra form and backstepping techniques. We also present some simulation results.",

keywords = "Backstepping, Boundary control, Flexible systems, Kernel functions, Partial differential equations, Shear beam, Volterra transformation",

author = "Mustafa Dogan and Omer Morgul",

note = "Publisher Copyright: {\textcopyright} 2009 EUCA.; 2009 10th European Control Conference, ECC 2009 ; Conference date: 23-08-2009 Through 26-08-2009",

year = "2014",

month = mar,

day = "26",

doi = "10.23919/ecc.2009.7074511",

language = "English",

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Dogan, M & Morgul, O 2014, PDE control of a rotating shear beam with boundary feedback. in 2009 European Control Conference, ECC 2009., 7074511, 2009 European Control Conference, ECC 2009, Institute of Electrical and Electronics Engineers Inc., pp. 856-861, 2009 10th European Control Conference, ECC 2009, Budapest, Hungary, 23/08/09. https://doi.org/10.23919/ecc.2009.7074511

TY - GEN

T1 - PDE control of a rotating shear beam with boundary feedback

AU - Dogan, Mustafa

AU - Morgul, Omer

PY - 2014/3/26

Y1 - 2014/3/26

N2 - We consider a flexible structure modeled as a shear beam which is clamped to a rigid body at one end and is free at the other end. The whole structure is free to rotate on the horizontal plane. We first model the system by using Partial Differential Equations (PDE) and we propose boundary feedback laws to achieve set point regulation of the rotation angle as well as to suppress the elastic vibrations. The proposed control laws are based on PDE model, hence we do not resort to discretization of the system equations by available methods. We utilize a coordinate transformation based on an invertible integral transformation by using Volterra form and backstepping techniques. We also present some simulation results.

AB - We consider a flexible structure modeled as a shear beam which is clamped to a rigid body at one end and is free at the other end. The whole structure is free to rotate on the horizontal plane. We first model the system by using Partial Differential Equations (PDE) and we propose boundary feedback laws to achieve set point regulation of the rotation angle as well as to suppress the elastic vibrations. The proposed control laws are based on PDE model, hence we do not resort to discretization of the system equations by available methods. We utilize a coordinate transformation based on an invertible integral transformation by using Volterra form and backstepping techniques. We also present some simulation results.

KW - Backstepping

KW - Boundary control

KW - Flexible systems

KW - Kernel functions

KW - Partial differential equations

KW - Shear beam

KW - Volterra transformation

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U2 - 10.23919/ecc.2009.7074511

DO - 10.23919/ecc.2009.7074511

M3 - Conference contribution

AN - SCOPUS:84955190103

T3 - 2009 European Control Conference, ECC 2009

SP - 856

EP - 861

BT - 2009 European Control Conference, ECC 2009

PB - Institute of Electrical and Electronics Engineers Inc.

T2 - 2009 10th European Control Conference, ECC 2009

Y2 - 23 August 2009 through 26 August 2009

ER -

PDE control of a rotating shear beam with boundary feedback

Abstract

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Conference

Bibliographical note

Keywords

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