PS4 controller lagging

Hi everyone,
I have just purchased Taiko no Tatsujin for PS4 yesterday. I realised that there is a slight delay in response to the controller. I have to press the buttons slightly advance. I used to pay on my PSP and it never has that issue. Has any of you has this issue ? Correct me if i m wrong .Because the controller uses bluetooth connection , so there will always be a slight delay. Especially if you are playing a fast song.

Any advice ?