In this paper, the backlash hysteresis nonlinearity is examined, and a
mathematical model based on the particular behavior of the backlash i
s developed A geometrical interpretation of this model using switching
operators is provided to facilitate an understanding of it. Simulatio
n of output prediction of the backlash mechanism using an arbitrary in
put signal is performed to verify the correctness of the developed mod
el. A linearization scheme based on the model is also developed to com
pensate for the backlash nonlinearity. The scheme was applied for trac
king an arbitrary signal similar to that used in the modeling. The res
ults show that our model-based linearization scheme although running i
n an open loop fashion, provides a simpler way to perform tracking con
trol for structures with backlash hysteresis nonlinearity.