.Modelica_Synchronous.RealSignals.NonPeriodic.PI

Information

Discrete-time PI controller that has been derived from the continuous-time PI controller

                 1
   y = k * (1 + ---) * u
                T*s
           T*s + 1
     = k * ------- * u
             T*s

by using the implicit Euler discretization formula. The block is parametrized with the gain k and the time constant T of the continuous PI block. As a result, the discrete-time form of the PI controller depends explicitly on the sample time of the controller and changing this sample time, will give still a similar performance.