Stabilization of linear sampled-data systems by a time-delay feedback control

Baltazar Aguirre, F. Ricardo García, Rodolfo Suárez

Research output: Contribution to journalArticlepeer-review

11 Scopus citations

Abstract

We consider one-dimensional, time-invariant sampled-data linear systems with constant feedback gain, an arbitrary fixed time delay, which is a multiple of the sampling period and a zero-order hold for reconstructing the sampled signal of the system in the feedback control. We obtain sufficient conditions on the coefficients of the characteristic polynomial associated with the system. We get these conditions by finding both lower and upper bounds on the coefficients. These conditions let us give both an estimation of the maximum value of the sampling period and an interval on the controller gain that guarantees the stabilization of the system.

Original languageEnglish
Article number270518
JournalMathematical Problems in Engineering
Volume2008
DOIs
StatePublished - 2008

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