A low-pass filter is typically used to filter out high-frequency noise or disturbances from a signal. It is employed when you want the control system to respond to the underlying, slower changes in the system while ignoring rapid fluctuations that may not be meaningful or may introduce instability. The choice to use a low-pass filter depends on the specific characteristics of the system and the nature of the disturbances or noise it encounters.
The use of integral control (I controller) is primarily necessary to eliminate steady-state errors in a control system. If your system is already performing without any steady-state error, it means that the proportional (P) and derivative (D) components of the control are effectively handling the error correction. Some systems may not require integral control if the proportional and derivative components are tuned correctly to provide accurate and stable control without any long-term error.
can you explain why did you use the low pass filter ?
and why is the system is errorless , since you didtn use the I INTEGRAL