I have used PID a couple of times, but there is one thing I haven't been able to understand from any literature/textbooks.
If I run a DC motor from a 12v battery for example, how can PID improve the transient response?
The Voltage (and input) is still limited to 12V, so how can the system respond any faster while still adhering to the dynamics and armature equations for a DC motor? It seems it relies on there being additional input capacity.
If it can't, why is it so common to talk about improved transient response when I read about controlling a DC motor using PID?
Thanks in advance