A method of detecting steering wheel angle instability in an auto-guided vehicle includes measuring a steering wheel angle at a plurality of time instances within a pre-determined time window to obtain an array of values of the steering wheel angle, performing a frequency analysis of the array of values of the steering wheel angle to obtain a frequency spectrum of the steering wheel angle, comparing the frequency spectrum of the steering wheel angle to a pre-defined threshold frequency spectrum to determine whether a magnitude of the frequency spectrum of the steering wheel angle at any frequency exceeds a magnitude of the threshold frequency spectrum, and upon determining that a magnitude of the frequency spectrum of the steering wheel angle at one or more frequencies exceeds a magnitude of the pre-defined threshold frequency spectrum, determining that a steering wheel angle instability is present.