On the boundary control of Kirchhoff's nonlinear string

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On the boundary control of Kirchhoff's nonlinear string.pdf (224.8 KB)

Date

2007

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Source Title

Proceedings of the 7th IFAC Symposium on Nonlinear Control Systems, IFAC 2007

Print ISSN

1474-6670

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Publisher

IFAC

Volume

7

Issue

12

Pages

135 - 139

Language

English

Type

Conference Paper

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Abstract

In this paper we propose two new classes of controllers which stabilize Kirchhoff's nonlinear string by using boundary control techniques. We assume that the boundary displacement is the only available measurement. The classes of controllers proposed in this paper are related to the positive real controllers. One of the classes generalizes a special class of such stabilizing controllers which is already proposed in the literature and the other one is new.

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Keywords

Boundary control, Global asymptotic stability, Infinite dimensional systems, Kirchhoff's nonlinear string, Boundary displacements, Kirchhoff, Nonlinear strings, Positive real, Special class, Stabilizing controllers, Asymptotic stability, Nonlinear control systems, Controllers

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http://hdl.handle.net/11693/27012

Published Version (Please cite this version)

https://doi.org/10.3182/20070822-3-ZA-2920.00023

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Scholarly Publications - Electrical and Electronics Engineering