Hi XeeR!
So when the PS4 controller is connected to the charger, you can see the orange light pulsing, right?
At this moment, click on the PS button to turn it on. If nothing happens and you still see the orange light pulsing. Check the Button Circuit Membrane. It's possible that the PS button isn't doing anything or is not working.
Guide for this: [guide|121986]
Please let us know how it goes and good luck!