Integrator¶

The integrator accumulates the input signal over time with a gain that is configurable in continuous-time via a frequency parameter.

Discretization¶

The supported discretization method is backward euler.

Configuration¶

The Integrator has the following transfer function:

\begin{eqnarray} H(s) & = & \frac{2\pi f_i}{s} \end{eqnarray}

Transfer function symbols¶
\(f_{i}\)	IntegratorFrequency

The integrator bandwidth is set via the Frequency signal. This signal sets the frequency for which the integrator gain is one (0 dB).

Hint

Due to the frequency response of an integrator (20 dB/dec magnitude decay), the configuration of the Frequency signal resembles the configuration of an integral gain. I.e. doubling the integrator frequency effectively means doubling the integrator gain.

Note

The state of the integrator (i.e. its memory) can be cleared by resetting the integrator based upon another signal. Refer to the documentation of the processing block that implements the integrator to see how this is configured.

The integrator has a saturation that is configured with the signals LowerClip and UpperClip. When LowerClip ≥ UpperClip, the saturation bounds are ignored. So by leaving both bounds at zero, the saturation is deactivated. Whenever saturation becomes active, the Saturated output will become true. Otherwise, it will be false.

Note

The integrator can also be ‘locked’ based upon another signal, which means that the input is disconnected from the integrator. Refer to the documentation of the processing block that implements the integrator to see how this is configured.