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Before to start experiments, what is ZV control ?
Do to Experiments
Get normal state response when without any control.
Get response when put in proportional gain
Get response when payload move toward and backward
Get ZV control response when payload move toward and backward
Get ZV control response when changed natural frequency and payload move toward and backward
Result of Experiments
Case of 350mm
In our case second experimets is the most close to real natural frequency so we can check the most small amplitude at ZV compare with others
A range of limited, according to value of gain to get higher, then the system is more fast to get setting time.
The amplitude is different between applied ZV control and unapplied ZV control.
Reference of this graph From you can see here applied ZV control is effect to reduce a amplitude .
As we already told you that proportional control only close to state which remove vibration.