Tuning PI/PD controllers based on gain/phase margins and maximum closed-loop magnitude
Journal
Journal of the Chinese Institute of Chemical Engineers
Journal Volume
30
Journal Issue
1
Pages
23-29
Date Issued
1999
Author(s)
Abstract
This work presents a set of proportional-integral (PI) and proportional-derivative (PD) tuning formulae for some typical low-order processes, based on specifications involving gain/phase margins or gain margin and maximum closed-loop magnitude. The nonlinear equations of the gain/phase margins and the maximum closed-loop magnitude for some low-order processes equipped with PI/PD controllers are simplified into linear approximations, and analytical tuning settings can then be derived from any two of the simplified relations. Two numerical examples are used, demonstrating the effectiveness of the novel tuning formulae.This work presents a set of proportional-integral (PI) and proportional-derivative (PD) tuning formulae for some typical low-order processes, based on specifications involving gain/phase margins or gain margin and maximum closed-loop magnitude. The nonlinear equations of the gain/phase margins and the maximum closed-loop magnitude for some low-order processes equipped with PI/PD controllers are simplified into linear approximations, and analytical tuning settings can then be derived from any two of the simplified relations. Two numerical examples are used, demonstrating the effectiveness of the novel tuning formulae.
Subjects
Gain/phase margins
PID controller
Process control
Tuning
Type
journal article