Approximate pole placement with dominance for continuous delay systems by pid controllers

Qing Guo Wang, Min Liu, Chang Chien Hang

Research output: Contribution to journalArticlepeer-review

11 Citations (Scopus)


It is well known that a continuous-time feedback system with time delay has infinite spectrum and it is not possible to assign such infinite spectrum with a finite-dimensional controller. In such a case, only the partial pole placement may be feasible and hopefully some of the assigned poles are dominant. But there is no easy way to guarantee dominance of the desired poles. In this paper, an analytical PID design method is proposed for continuous-time delay systems to achieve approximate pole placement with dominance. Its idea is to bypass continuous infinite spectrum problem by converting a delay process to a rational discrete model and getting back continuous PID controller from its discrete form designed for the model with pole placement. Simulation results are included to illustrate the effectiveness of this method.

Original languageEnglish
Pages (from-to)549-557
Number of pages9
JournalCanadian Journal of Chemical Engineering
Issue number4
Publication statusPublished - 2007
Externally publishedYes


  • Controller design
  • PID
  • Time delay

ASJC Scopus subject areas

  • General Chemical Engineering


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