Stability analysis of systems with proportional-integral generalized predictive control

  • Tao Li*
  • , Zeng Qiang Chen
  • , Ji Feng Zhang
  • *Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

6 Scopus citations

Abstract

The stability analysis of the generalized predictive control (GPC) systems is studied. Based on the analysis of the characteristic polynomial of the closed-loop GPC systems, the stability of the closed-loop systems with one step ahead proportional-integral GPCs is proved. By using the root-locus method, the relationship between the poles of the closed-loop and the design parameters is explored, and the practical meanings of the design parameters in the proportional-integral GPCs are clarified. A simulation example is presented, by which the superiority of the proportional-integral GPC over the conventional GPC is explained from the point of view of frequency domain.

Original languageEnglish
Pages (from-to)19-24
Number of pages6
JournalKongzhi Lilun Yu Yingyong/Control Theory and Applications
Volume24
Issue number1
StatePublished - Feb 2007
Externally publishedYes

Keywords

  • Frequency domain analysis
  • Predictive control
  • Proportional-integral control
  • Root-locus method
  • Stability analysis

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