Is there any theory or literature that can be referred to; I don’t understand the meaning of ‘bounce back’. I can’t understand the adjustment principle of D value
The bounce back is a descriptive reference to the effect that the D-term has on the tuning.
Derivative = Take it Easy correction: Is the correction going too fast? If it is, slow it down (dampen) it a bit to avoid overshoot. The Autotune is a PID-tuning feature designed to “provide the highest response without significant overshoot”.
Perhap these WiKi links will help.