I use a mixture of things to control my condensation/musty smell problem.
As well as airing the wardrobe,I ensure that no washing at all is put on radiators to dry in the bedroom, ever (only in living room if no other option).
Even in the winter we sleep with the window open a crack,and ensure adequate heating.
I ensure nothing (clothes or otherwise) is against the exterior wall,and leave enough air circulation space.
And I have(and use when needed) a de-humidifier.
I find this works.It's a PITA,but better than having to throw a whole black sack of mildewed clothes away,which happened when I first moved in and wasn't aware of the problem.
Eventually I will either get rid of the doors or remove the whole caboodle and use free standing wardrobes.
A good measure if you have solid doors is to perhaps use louvre doors if you want or need to keep the built-in wardrobes.
Last but not least,I hear a bowl of cat litter or charcoal can be very effective at absorbing moisture.
Once measures have been taken,I'd gradually re-wash anything that isn't regularly worn to freshen them up.
Good luck!