Our solid propellant rocket, on test, produces sonic boom. Right after, the plume of exhaust tilts sideways. This will definitely have a gimbal effect during flight. The propellant chamber has one hole in the center to increase the burn surface area. I am assuming that the shock produced that shakes the propellant chamber crumbles the unburnt fuel inside. This affects the fuel burn and mass flow resulting in the tilting of the plume at the nozzle.
We have fixed fins and the nozzle cannot be gimballed to correct the direction.
Is there a way to correct this situation?