Stabilization of time delay systems

descriptionPublicationkeyboard_double_arrow_right Article , Conference object 01 Jan 2000Publisher:IEEEJournal:Proceedings of the 2000 American Control Conference. ACC (IEEE Cat. No.00CH36334)

Authors: Guillermo J. Silva; Aniruddha Datta; S. P. Bhattacharyya 0001;

doi: 10.1109/acc.2000.876643

Stabilization of time delay systems

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Abstract

We first consider the problem of stabilizing a first-order plant with dead time using a constant gain controller. Using a version of the Hermite-Biehler theorem applicable to quasipolynomials, a complete analytical characterization of all stabilizing gain values is provided as a closed form solution. A similar approach is then used to tackle the problem of stabilizing a first-order plant with time delay using a PI controller, and once again the complete stabilizing set is determined.

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