To bake uniformly, up to IS0 "C, the vacuum vessel of the Spanish Stellarator TJ-I1 represents a dil'ficult task to be deinonstrated. In order to study the temperature distribution in the vessel, a prototype ol' this vacuum vessel. mounted in a stainless steel structure, has been heated by means of electrical panels and eddy currents. The induction heating system is provided applying 498 A/l 1.7 V at 50 Hz to the toroidal field coil located i n the middle of the vessel prototype. Practically, this system only heats adequately the rings and poorly t h e so called "groove" o f the vacuum vesscl. On the contrary, the electrical heaters, with a power density of 0.5 W/cm2, heat the external part of the sectors and ports. Thc high density of temperature sensors ensures the uniformity o f the heating process during the long heating cycles, making advisable a fault-tolerant control system based on Artificial Neural Networks (ANN'S) that implcmcnts the control loop to regulate and protect both heating systems. This paper deals with the results of this experiment.