Usually in a physical control system (that is driven by a PID controller) your limiting factors are the execution element (how fast can you change the input) and your sensors (the resolution of the transducers/sensors dictate the resolution of what you can achieve). A lot of times the PID controller will have a way that it can autotune itself as it's extremely rare to be able to measure the properties of the physical system precisely and for those properties to not vary with temperature and with wear and tear.