An actuation system is disclosed for actuating an ablation instrument for an ablation process in a tissue volume. In at least one embodiment, the actuation system includes: an input interface for image data of the tissue volume; an identification unit for identifying a target tissue using the image data; a model production unit for producing process models and/or refined fine process models of expected ablation developments, which is linked to a value derivation unit for deriving model measured values from a process model and/or to a value determination unit for determining measured values representing the ablation progress; a command derivation unit for deriving control commands on the basis of process models and/or for deriving refined control commands on the basis of fine process models; a comparator for comparing measured values and an instrument interface for transmitting control commands and/or refined control commands to the ablation instrument. In at least one embodiment, the invention also relates to an actuation method.