A self-cycling fermenter is a batch fermenter subject to recurrent emptyings of liquid volume followed by the refilling withnew fresh substrate. This article construc ts a modified model of self-cycling fermenter, which is described by an impulsive differential equation at impulse-dependent times, which have been recently introduced. The main result is a set of con-ditions depending of the fraction of removed volume, the concentration of new substrate introduced, and the maximal length between two impulses, which ensure the existence and attractiveness of a periodic cycle. A second result provides alternative conditions for the biomass extinction.