PD-PID Controller for Delayed Systems with Two Unstable Poles: A Frequency Domain Approach

David Fernando Novella-Rodríguez, Basilio del Muro Cuéllar, Juan Francisco Márquez-Rubio, Miguel Ángel Hernández-Pérez, Martin Velasco-Villa

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

This paper deals with the stability problem of linear delayed systems containing two unstable real poles by means of PD controllers. The analysis presented is based on frequency domain techniques. Necessary and sufficient conditions for the existence of stabilising controllers are given in terms of the parameters of the system and the time delay size. The main result is extended to delayed systems with two unstable poles and n stable real poles. PID controllers are also considered in order to control the studied systems, obtaining similar stability conditions. Numerical examples are presented in order to illustrate the control performance.

Original languageEnglish
Pages (from-to)1196-1208
Number of pages13
JournalInternational Journal of Control
Volume92
Issue number5
DOIs
Publication statusPublished - 4 May 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Control and Systems Engineering
  • Computer Science Applications

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