Do you want current limit, or overcurrent protection?
Overcurrent protection is easy, get an INA202 or similar on the DC entry point of the controller.
If you prefer an isolated solution, which doesn't care much about the used DC voltage because of the isolation, you can get one of those Allegro hall-effect sensors.
I would also suggest the use of a comparator and logic (maybe a watchdog) if you're using analog outputs, instead of relying on software to turn of the bridge if measured value gets too high (or low). This way, a software or device failure will make sure the dc bridge turns off.
A fuse or breaker doesn't hurt to prevent fire if the dc bridge fails. You're putting it outside without supervision, outside isn't the most friendly place for electronics.