A control system for a natural gas distribution network, includes: a processing unit suited to communicate, through corresponding signals, with one or more control devices operatively connected to the distribution network; a rechargeable battery which supplies power to the processing unit; a power supply device suited to recharge the rechargeable battery. The power supply device includes: a thermoelectric generator connected to the rechargeable battery; a first heat exchanger and a second heat exchanger respectively in contact with two opposite sides of the thermoelectric generator; a vortex tube which receives part of the natural gas from the distribution network and divides it into a colder portion and into a warmer portion; a first duct suited to convey the colder portion into the first heat exchanger; a second duct suited to convey the warmer portion into the second heat exchanger.