Hello Jenny,
Yes, that should be possible. Assuming that your sensors integrate with your PC rather than the reactor, you could approach it a few different ways:
1. Use the SSH connection to the control computer to transfer files with information on the sensor readings to the Beaglebone Black at regular intervals, and then read these into the Python software at regular time points to implement control.
2. Instead, send data via HTTP POST requests or similar – you can look at how this runs in the GUI of the system (e.g. the html/javascript files), and by writing a python function to receive these you could similarly figure out a way to transfer the control parameters into the python back-end on the Beaglebone Black.
If you have someone with software engineering experience neither option should be too hard, though it will require some good knowledge of python etc to get it to work.
Best wishes
Harrison