Observer-PID stabilization strategy for unstable first-order linear systems with large time delay

J.F. Márquez-Rubio, B. Del-Muro-Cuéllar, M. Velasco-Villa, D.F. Novella-Rodríguez

Research output: Contribution to journalArticlepeer-review

9 Citations (Scopus)

Abstract

This work considers the stabilization and control of a class of unstable first-order linear systems subject to a relatively large input-output time delay. As a first step, a particular observer scheme is proposed in order to predict a specific internal signal in the process. Conditions to ensure the adequate prediction convergence of the signals are formally stated. In a second step, the internal predicted signal is used to implement classical P, PI, and PID controllers providing stability conditions for the resulting closed-loop system. The proposed control strategy allows one to address time delays as large as four times the unstable time constant of the open-loop system, in contrast with the reported related literature where the maximal bound has been stated until now as two times the unstable time constant of the open-loop system. The proposed observer-based control structure considers also the tracking of step reference signals and the rejection of input step disturbances.

Original languageEnglish
Pages (from-to)8477-8487
Number of pages11
JournalIndustrial and Engineering Chemistry Research
Volume51
Issue number25
DOIs
Publication statusPublished - 27 Jun 2012
Externally publishedYes

Bibliographical note

Copyright:
Copyright 2012 Elsevier B.V., All rights reserved.

All Science Journal Classification (ASJC) codes

  • Chemistry(all)
  • Chemical Engineering(all)
  • Industrial and Manufacturing Engineering

Fingerprint

Dive into the research topics of 'Observer-PID stabilization strategy for unstable first-order linear systems with large time delay'. Together they form a unique fingerprint.

Cite this