Stability region analysis in Smith predictor configurations using a PI controller

DENİZ F. N., TAN N., HAMAMCI S. E., Kaya I.

TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL, cilt.37, sa.5, ss.606-614, 2015 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 5
  • Basım Tarihi: 2015
  • Doi Numarası: 10.1177/0142331214539991
  • Dergi Adı: TRANSACTIONS OF THE INSTITUTE OF MEASUREMENT AND CONTROL
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.606-614
  • Anahtar Kelimeler: Model identification, Smith predictor structure, stability boundary locus, stability region, TIME-DELAY, DEAD-TIME, STABILIZATION, COMPUTATION, DESIGN
  • İnönü Üniversitesi Adresli: Evet

Özet

This paper deals with the stabilization problem of Smith predictor structures using a PI controller. Stability regions that include all stabilizing parameters of a PI controller for the case of perfect matching between the plant and model and for mismatched case are obtained. The models of the plant are assumed to be FOPDT (first-order plus dead time) and SOPDT (second-order plus dead time) transfer functions. Thus, the aim of this study is to determine all stabilizing PI controllers for the Smith predictor scheme and to compare the stability regions obtained for perfectly matched and mismatched models. It is observed that the stability regions obtained for both cases are quite different and the stability regions for FOPDT and SOPDT models are broader than the stability region of the actual model. Furthermore, an approach is presented to find different models of an actual system using the stability region and it is shown that the stability region of these models can fit the stability region of actual system. A simulation example is provided to illustrate the results.