Differential Lag or Forgetting Function (Z-Domain)

 

Description

This component simulates a differential pole function in the discrete domain. The component is triggered by the 2-element, interpolated Enable/Disable port signal. The user has the ability to reset the output to a user-specified value at any executed instance. If the Reset signal is received between two execution steps, the output will be reset at the next execution step.

 

The solution method for this function is as follows:

 

 

Where,

 

Output signal

Time at last execution

Time at execution, before the last execution

Input signal at last execution

Output generated at execution, before the last execution

Gain at last execution

Time constant at last execution

 

If T = 0, Q(t) = 0.

 

More:

Differential Pole

Delay (Z-Domain)

Derivative with a Time Constant (Z-Domain)

Integrator (Z-Domain)

Lead-Lag Pole (Z-Domain)

Nth Order Transfer Function (Z-Domain)

PI Controller (Z-Domain)

Real Pole (Z-Domain)

Input Parameters

Configuration

 

Main Data

 

Limits