Tuning of multi-loop PI controllers based on gain and phase margin specifications

Zhuo Yun Nie, Qing Guo Wang, Min Wu, Yong He

Research output: Contribution to journalArticlepeer-review

29 Citations (Scopus)


In this paper, a single-iteration strategy is proposed for the design of a multi-loop PI controller to achieve the desired gain and phase margins for two-input and two-output (TITO) processes. To handle loop interactions, a TITO system is converted into two equivalent single loops with uncertainties drawn from interactions. The maximum uncertainty is estimated for the initial controller design in one loop and single-input and single-output (SISO) controller design is applied. This controller is substituted to other equivalent loop for design, and finally, the first loop controller is refined on knowledge of other loop controller. For SISO controller tuning, a new method is presented to determine the achievable gain and phase margins as well as the relevant controller parameters. Examples are given for illustration and comparison.

Original languageEnglish
Pages (from-to)1287-1295
Number of pages9
JournalJournal of Process Control
Issue number9
Publication statusPublished - Oct 2011
Externally publishedYes


  • Controller tuning
  • Gain and phase margins
  • PI controller
  • Process control
  • TITO systems

ASJC Scopus subject areas

  • Control and Systems Engineering
  • Modeling and Simulation
  • Computer Science Applications
  • Industrial and Manufacturing Engineering


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