Had a quick look through the manual - unfortunately it may be quite locked down from a network perspective - that particular model doesn't even seem to have a web-interface. (which could be automated through some Applescript HTTP requests)
There does appear to be limited control through GPI pins on a D-Sub style connector - but QLab won't be able to work with these directly, there's likely hardware available that might be able to make it work.
If time and money allows, I'd imagine an Arduino / Raspberry Pi could work as a bridge between QLab and the GPI pins - this would likely be a custom thing, so I couldn't say anything with regard to latency or reliability.