blockPIGain

Identify the control gain of a PI controller

Information

This block calculates the control gain of a PI model as

k = 0.15/kp + (0.35-LT/(L+T)2)(T/kp/L),

where kp is the gain of the first-order plus time-delay (FOPTD) model, T is the time constant of the FOPTD model, and L is the time delay of the FOPTD model.

References

Garpinger, Olof, Tore Hägglund, and Karl Johan Åström (2014) "Performance and robustness trade-offs in PID control." Journal of Process Control 24.5 (2014): 568-577.

Connectors

TypeNameDefaultDescription
Buildings.Controls.OBC.CDL.Interfaces.RealInputkpGain of a first-order plus time-delay (FOPTD) model
Buildings.Controls.OBC.CDL.Interfaces.RealInputTTime constant of the FOPTD model
Buildings.Controls.OBC.CDL.Interfaces.RealInputLTime delay of the FOPTD model
Buildings.Controls.OBC.CDL.Interfaces.RealOutputkControl gain

Revisions

  • June 1, 2022, by Sen Huang:
    First implementation.