PS4 Dualshock 4 left analog stick issues

I’m having a strange issue with my Dualshock 4 where sometimes holding up on the left analog stick will sort of “stutter.” For example, if pressing forward then clicking the left analog stick causes your character to run they will start swaying left to right, or go quickly between walking, running or stopping. Especially annoying if you have to build up speed, which this interrupts.