How a Integrator followed by a saturation block is different than a limited integrator?

Answer 1

[Fangjun Jiang]

I think it can be explained.

1. An Integrator followed by a Saturation. The integrator just does its regular integration and the output is saturated.
2. An Integrator with a limit. The accumulated value is limited so when the input is negative, the accumulated value starts decreasing from that limited value, as shown in below figure "Integrator Limited". When the input value becomes positive, the accumulated value starts increasing from the low limit value.

[Sourav Kumar Singh]

Can it be said that it is integratng considering that limited value as an initial condition?

[Sourav Kumar Singh]

in the limited integrator as the integration attains the limit then it will act as initial condition that will result in altering the waveforms

[Fangjun Jiang]

Yes.