Thats what we do for our compressors, cooling towers, and chillers - but they all have a PLC on them.
When power is restored the PLC first ascertains if it was running when the power went off. If it was then it performs a series of checks to make sure it's OK to restart (fluid levels OK, all phases present, an anti-short cycle check if a chiller, etc.) If everything is OK then the equipment restarts. The utility equipment over which we have control all have different time delays on restarting so we don't have a start up surge at the main gear. Some utility equipment is dependent on other utility eqipment, eg, chillers are depenednt on the cooling tower - which affects the start up delay times.