.Buildings.Controls.OBC.Utilities.PIDWithAutotuning.SystemIdentification.FirstOrderTimeDelay.BaseClasses.Gain

Information

This block calculates the gain of a first-order plus time-delay model.

k = I_y/I_u,

I_y is calculated by

I_y = ∫ u(t) dt;

where u(t) is the relay output at t (see details in Buildings.Controls.OBC.Utilities.PIDWithAutotuning.Relay.Controller).

I_u is calculated by

I_u = t_on y_hig - t_offy_low,

where y_hig and y_low are constants related to an asymmetric relay output. t_on and t_off are the length of the on period and the off period of the same asymmetric relay output, respectively.

References

J. Berner (2017). "Automatic Controller Tuning using Relay-based Model Identification." Department of Automatic Control, Lund University.

Revisions

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