A method for detecting and mitigating errors in a positioning system includes receiving a first signal from a global navigation satellite system (GNSS) indicative of a first position and a second signal from the GNSS indicative of a second position of a machine, determining a difference between the first position and the second position, detecting an error in a current position of the machine when the difference between the first and the second position exceeds a threshold of one of (a) a maximum distance given a maximum velocity, and (b) an actual distance determined based on an output of an inertial sensor on the machine, and mitigating the detected error in the current position of the machine by switching from an output of the positioning system to a position output determined based upon the output of the inertial sensor to update the current position.