The prefrontal cortex (PFC) plays a central role in flexible cognitive control, including the suppression of habitual responding in favour of situation-appropriate behaviours that can be quite novel. PFC provides a kind of working memory, maintaining the rules, goals, and/or actions that are to control behaviour in the current context. For flexible control, these PFC representations must be sufficiently componential to support systematic generalisation to novel situations. The anatomical structure of PFC can be seen as implementing a componential ‘slot-filler’ structure, with different components encoded over isolated pools of neurons. Previous PFC models have highlighted the importance of a dynamic gating mechanism to selectively update individual ‘slot’ contents. In this article, we present simulation results that suggest that systematic generalisation also requires an ‘output gating’ mechanism that limits the influence of PFC on more posterior brain areas to reflect a small number of representational components at any one time.