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Integrator

Purpose

Integrate input signal with respect to time

Library

Control / Continuous

Description

pict

The Integrator block outputs the integral of its input signal at the current time step. The output signal may have an upper and lower limit. It can be reset to its initial value by an external trigger signal.

Simulation with the Continuous State-Space Method

When simulated with the continuous method, the input signal is simply passed on to the solver for integration.

Simulation with the Discrete State-Space Method

When simulated with the discrete method, the input signal is integrated within PLECS using the Forward Euler method.

Parameters

Initial condition
The initial condition of the integrator. This parameter may either be a scalar or a vector corresponding to the implicit width of the component.
External reset
The behaviour of the external reset input. The values rising, falling and either cause a reset of the integrator on the rising, falling or both edges of the reset signal. A rising edge is detected when the signal changes from 0   to a positive value, a falling edge is detected when the signal changes from a positive value to 0  . If the value level is chosen, the output signal keeps the initial value while the reset input is not 0  .
Upper saturation limit
An upper limit for the output signal. If the value is inf the output signal is unlimited.
Lower saturation limit
A lower limit for the output signal. If the value is -inf the output signal is unlimited.

Probe Signal

State
The internal state of the integrator.


Note If the external reset is used, there is a direct dependancy of the output signal on the reset trigger signal. Therefore the generation of the trigger signal must not depend on the output signal directly since this would cause an algebraic loop.