According to the invention, the filter plant comprises a gas feed (compressed air feed system) which supplies the filter plant with a cleaning medium at a feed pressure pN. The filter plant also comprises a cleaning tank which is fed by the gas feed and in which the cleaning medium is stored at a cleaning pressure pT. Furthermore, the filter plant also comprises a pressure filter with a filter pressure pF. The pressure filter is cleaned cyclically in pre-determined time intervals or in a manner dependent on differential pressure by the cleaning medium from the cleaning tank.