Abstract
Hysteresis nonlinearity of piezoelectric actuator deteriorates its control performance. Unlike traditional model-based control scheme, this paper employs a novel £1 adaptive control algorithm without modeling of hysteresis to achieve a precise tracking control. The piezoelectric actuator system in question consists of models in the form of a linear time-invariant dynamic system in series with a differential hysteresis model. The hysteresis can be transformed into general uncertainties to the system. Then an £1 adaptive control algorithm can be applied. By implementing this control scheme on the piezoelectric actuator system and comparing its result to the result of a PID controller, the effectiveness of this controller is verified.
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