Garbage collection is the least of your problems in that case. You can't use a standard OS for that kind of scenario either, Linux has far bigger jitter than that. And if you have a hard real-time system, you could have a hard real-time garbage collector too.

Garbage collection gets a bad rep from garbage collectors that are tuned for throughput rather than latency, but there is no lower limit to latency for garbage collection and there are GCs out there that prove it (like Azul). If you can afford dynamic memory allocation, you can afford garbage collection. And if you can't afford it, you can just preallocate and turn off the garbage collector.