Development of a tunable method for PID controllers to achieve the desired phase margin

Sergey Sergeevich Mikhalevich, Sergey A. Baydali, Flavio Manenti

Research output: Contribution to journalArticlepeer-review

35 Citations (Scopus)


A new method for classical PID controller adjustment is broached. It allows to provide the required phase margin in a designed system. The mathematical formulation of the method and assumptions to implement it are given. The transfer functions of the plant are converted into real and imaginary parts at the frequency. Based on them, the analytical expressions for the controller settings are obtained. Thereby, the tuning parameters are the phase margin and crossover frequency. Some guidelines are provided for the selection of the crossover frequency on the basis of an integral performance index (ITAE). Several simulation examples are included to show the effectiveness of the proposed method.

Original languageEnglish
Pages (from-to)28-34
Number of pages7
JournalJournal of Process Control
Publication statusPublished - 2015


  • Crossover frequency
  • Integral performance index
  • Phase margin
  • PID control

ASJC Scopus subject areas

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

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