Various methods and systems are provided for calibrating one or more exhaust valves. In one example, a system comprises an exhaust valve configured to control flow of exhaust gas exiting an engine and a controller configured to calibrate the exhaust valve by commanding the exhaust valve to a fully closed position with a first driving current and measuring a first position of the exhaust valve at the first driving current, commanding the exhaust valve to a fully open position with a second driving current and measuring a second position of the exhaust valve at the second driving current, and generating a map based on a linear function determined from the first driving current, the second driving current, the measured first position, and the measured second position. The controller is further configured to adjust a position of the exhaust valve based on the map.