Integral windup is the term for this issue, there's a few ways to deal with the windup if you need to keep the integral component (e.g. for tracking a moving se

Integral windup is the term for this issue, there's a few ways to deal with the windup if you need to keep the integral component (e.g. for tracking a moving set point, or to overcome a stable error). https://en.wikipedia.org/wiki/Integral_windup https://en.wikipedia.org/wiki/Integral_windup