The dissertation deals with cleanable dust filtration with textile filter media which has become a commonly used technique in the dedusting industry due to its high fine dust filtration efficiency. In the experimental part of the present work, a multitude of filtration experiments, on a therefore designed filter test rig, were executed to analyse the occurring filtration- and clogging-mechanisms in the laboratory in detail. Based on the gained knowledge, a mathematic model, describing the pressure drop evolution during time- and pressure-controlled cleanable dust filtration, was developed. For this purpose Darcy-s law was modified by introducing the medium particle deposition area. By doing so, it is possible, for the first time, to describe all occurring filtration- and clogging-mechanisms during time- and pressure-controlled cleanable dust filtration at once. A good agreement between model- and experimental-data was achieved for various operation parameters. Besides the improved knowledge concerning the filtration- and clogging mechanisms during time- and pressure controlled cleanable dust filtration, the model is also capable of extrapolating the pressure drop evolution at the cleanable dust filtration. This helps when it comes to the time-efficient evaluation of the long-term filtration behaviour of cleanable dust filter media, based on laboratory test runs.