Stabilization of linear time-delay systems by three-term controllers

Magdi S. Mahmoud

doi:10.1109/CCA.2009.5281149

Stabilization of linear time-delay systems by three-term controllers

Magdi S. Mahmoud

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

1 Scopus citations

Abstract

A new delay-dependent stabilization scheme is provided for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) H_∞ feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterization for proportional-integral-derivative (PID) feedback stabilization is established in terms of feasibility-testing of LMIs. A numerical example is provided to illustrate the theoretical developments.

Original language	English
Title of host publication	2009 IEEE International Conference on Control Applications, CCA '09
Pages	296-301
Number of pages	6
DOIs	https://doi.org/10.1109/CCA.2009.5281149
State	Published - 2009

Publication series

Name	Proceedings of the IEEE International Conference on Control Applications

ASJC Scopus subject areas

Control and Systems Engineering
Computer Science Applications
General Mathematics

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10.1109/CCA.2009.5281149

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title = "Stabilization of linear time-delay systems by three-term controllers",

abstract = "A new delay-dependent stabilization scheme is provided for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) H∞ feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterization for proportional-integral-derivative (PID) feedback stabilization is established in terms of feasibility-testing of LMIs. A numerical example is provided to illustrate the theoretical developments.",

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AB - A new delay-dependent stabilization scheme is provided for a class of linear time-delay (LTD) systems based on proportional-integral-derivative (PID) H∞ feedback. The time-delay is a differentiable time-varying function satisfying some bounding relations. An appropriate Lyapunov-Krasovskii functional (LKF) is constructed and a new parametrized characterization for proportional-integral-derivative (PID) feedback stabilization is established in terms of feasibility-testing of LMIs. A numerical example is provided to illustrate the theoretical developments.

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U2 - 10.1109/CCA.2009.5281149

DO - 10.1109/CCA.2009.5281149

M3 - Conference contribution

AN - SCOPUS:74049141467

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T3 - Proceedings of the IEEE International Conference on Control Applications

SP - 296

EP - 301

BT - 2009 IEEE International Conference on Control Applications, CCA '09

ER -

Stabilization of linear time-delay systems by three-term controllers

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