A good first step would be a scatterplots, time series plots and mark 1 eyeballs. It helps to understand the shape of the data before you start trying to fit models.
Doesn’t seem that fancy, but better than waiting for a small problem to turn in to a larger problem.
I think it will also be useful in highlighting differences between identical machines, why does the one right beside the other run 5 degrees hotter on thrust bearing? etc