For a system with hysteresis, we present a parameterized hysteresis mo
del and develop a hysteresis inverse. We then design adaptive controll
ers with an adaptive hysteresis inverse for plants with unknown hyster
eses, A new adaptive controller structure is introduced which is capab
le of achieving a linear parameterization and a linear error model in
the presence of a hysteresis nonlinearity. A robust adaptive law is us
ed to update the controller parameters and hysteresis inverse paramete
rs, which ensures the global boundedness of the closed-loop signals fo
r a wide class of hysteresis models. Simulations show that the use of
the adaptive hysteresis inverse leeds to major improvements of system
performance.