A drilling system includes a choke valve system in fluid communication with a wellbore via a fluid return line. The choke valve system is configured to receive a return fluid from the wellbore. The choke valve system includes a choke valve through which the return fluid flows and a valve position sensor configured to determine a position of the choke valve. The drilling system further includes a controller in signal communication with the valve position sensor. The controller is programmed to determine a flow rate of the return fluid through the fluid return line based on the determined position of the choke valve. The controller is further programmed to adjust the position of the choke valve in response to the determined flow rate of the return fluid.