Here's a plot comparing the PSD's from 10000 frames using the same disturbance input and several different plant models.

Clearly using the original plant model in the AO loop, which contains a single delay and PI controller, produces crap; its worse than using just the classical controller. From my ARX experiments with the DM, I found that running at full speed seems to add an additional delay, and sure enough multiplying this ideal plant model with a delay works much better. Unsurprisingly the best results come with identifying a plant model first.
None of these results are as good as what I get with the artificial pause between DM commands, but the time difference is significant (20Hz vs. 4 Hz). I get the feeling this is a fact I'll just have to live with for the time being.

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