Control system for pneumatic control of a cleaning arrangement for dust filters wherein a plurality of tubular filter elements are cleaned by a blast of air forced through the filter elements successively and in the direction reverse to that of filtering air flow. A plurality of quick-opening valves are operatively connected to outlet ports in a housing defining a pressure chamber. An arm is movably mounted in the chamber and has an air passage therethrough from its inner end to its outer end, the outer end being movable over the outlet ports in succession. The arm is moved intermittently by pneumatically operated means including an actuator movable alternately in opposite directions. The inner end of the air passage communicates with a pneumatically operated control valve that is disposed in a pneumatic control circuit including other valve mechanisms operated responsive to movement of the actuator in opposite directions to open and close the pneumatically operated valve, to respectively permit a corresponding quick-opening valve to open, and to seal off the chamber from atmosphere during movement of the arm from one outlet port to the next succeeding outlet port.