Arduino motor control
This looks like industrial-grade equipment, and then the Arduino seems like an odd choice to me. Arduino is very successful, but it's a hobby SBC (Single Board Computer). It doesn't even have an enclosure. It definitely works, but the design is not professional, and therefore may not be the best choice in an application like this.  

For industrial-grade control mini-PLCs are often used, like the Siemens LOGO!. 



They're a bit more expensive than hobby SBCs, but are more heavy-duty and more reliable.  

The Siemens LOGO! is meant to be mounted next to a relay module on a DIN-rail (EN 50022):





PS: on my previous job we used a LOGO! as a timer for a battery charger for our 9 V batteries. (Fluke DMMs drain batteries quickly. The older types like the 79 had a much better autonomy.)