Stabilization of structurally damped systems by pointwise time-delayed feedback control

A. Cherid; Yawvi A. Fiagbedzi; I. S. Sadek

doi:10.1016/S0016-0032(99)00028-9

Stabilization of structurally damped systems by pointwise time-delayed feedback control

A. Cherid^*, Yawvi A. Fiagbedzi, I. S. Sadek

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

A class of multi-dimensional damped distributed parameter systems with pointwise time-delayed displacement is considered. The linear systems with delayed control action are transformed into equivalent systems without delays. It is shown that the feedback gain control exists and asymptotically stabilizes the closed-loop modal system. An analysis of the effectiveness of using pointwise time-delayed displacement under these condition is studied. Specific numerical results are given for a structurally damped beam for various parameters when the pointwise delayed displacement feedback control is applied.

Original language	English
Pages (from-to)	1175-1185
Number of pages	11
Journal	Journal of the Franklin Institute
Volume	336
Issue number	7
DOIs	https://doi.org/10.1016/S0016-0032(99)00028-9
State	Published - Sep 1999

ASJC Scopus subject areas

Control and Systems Engineering
Signal Processing
Computer Networks and Communications
Applied Mathematics

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10.1016/S0016-0032(99)00028-9

Cite this

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title = "Stabilization of structurally damped systems by pointwise time-delayed feedback control",

abstract = "A class of multi-dimensional damped distributed parameter systems with pointwise time-delayed displacement is considered. The linear systems with delayed control action are transformed into equivalent systems without delays. It is shown that the feedback gain control exists and asymptotically stabilizes the closed-loop modal system. An analysis of the effectiveness of using pointwise time-delayed displacement under these condition is studied. Specific numerical results are given for a structurally damped beam for various parameters when the pointwise delayed displacement feedback control is applied.",

author = "A. Cherid and Fiagbedzi, \{Yawvi A.\} and Sadek, \{I. S.\}",

year = "1999",

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journal = "Journal of the Franklin Institute",

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T1 - Stabilization of structurally damped systems by pointwise time-delayed feedback control

AU - Cherid, A.

AU - Fiagbedzi, Yawvi A.

AU - Sadek, I. S.

PY - 1999/9

Y1 - 1999/9

N2 - A class of multi-dimensional damped distributed parameter systems with pointwise time-delayed displacement is considered. The linear systems with delayed control action are transformed into equivalent systems without delays. It is shown that the feedback gain control exists and asymptotically stabilizes the closed-loop modal system. An analysis of the effectiveness of using pointwise time-delayed displacement under these condition is studied. Specific numerical results are given for a structurally damped beam for various parameters when the pointwise delayed displacement feedback control is applied.

AB - A class of multi-dimensional damped distributed parameter systems with pointwise time-delayed displacement is considered. The linear systems with delayed control action are transformed into equivalent systems without delays. It is shown that the feedback gain control exists and asymptotically stabilizes the closed-loop modal system. An analysis of the effectiveness of using pointwise time-delayed displacement under these condition is studied. Specific numerical results are given for a structurally damped beam for various parameters when the pointwise delayed displacement feedback control is applied.

UR - https://www.scopus.com/pages/publications/0033189639

U2 - 10.1016/S0016-0032(99)00028-9

DO - 10.1016/S0016-0032(99)00028-9

M3 - Article

AN - SCOPUS:0033189639

SN - 0016-0032

VL - 336

SP - 1175

EP - 1185

JO - Journal of the Franklin Institute

JF - Journal of the Franklin Institute

IS - 7

ER -

Stabilization of structurally damped systems by pointwise time-delayed feedback control

Abstract

ASJC Scopus subject areas

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