Relationship on stabilizability of lti systems by P and PI controllers

Zhiping Zhang, Qing Guo Wang, Yong Zhang

Research output: Contribution to journalArticlepeer-review

5 Citations (Scopus)


This paper investigates the relationship on stabilizability of linear time-invariant (LTI) systems by P and Pl controllers. Elementary tools such as the Routh stability criterion and Root-Locus method are employed in the analysis. It is found that Pl can stabilize all the systems that P stabilizes but in general the converse is not true. The cases with the equivalence of stabilizability by P and Pl are established and they are in general loworder systems with few zeros. The cases with non-equivalence are also identified.

Original languageEnglish
Pages (from-to)374-377
Number of pages4
JournalCanadian Journal of Chemical Engineering
Issue number3
Publication statusPublished - Jun 2007
Externally publishedYes


  • Equivalence
  • PID controller
  • Root-locus
  • Routh array
  • Stabilization

ASJC Scopus subject areas

  • General Chemical Engineering


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