Piezoelectric actuators (PEAs) are critical in precision motion applications due to their high precision and fast response. Existing control methods for PEAs rely heavily on the accurate model integrated in the controllers to realize the precision motion tracking. However, complicated dynamics and inherent hysteresis nonlinearity bring challenges in modeling and identification. The accompanying model uncertainties bring difficulties for the rapid convergence of the tracking error and precision motion tracking of PEAs in the application. To overcome these limitations, this paper proposes an adaptive neural network fixed-time control (ANNFTC) scheme. The ANNFTC integrates the backstepping method and online neural network compensation, both designed according to the practical fixed-time stability. Unlike the fixed-time control (FTC) and related works, ANNFTC requires no prior knowledge of hysteresis while ensuring robustness to external disturbance and model uncertainties, including unmodeled dynamics and hysteresis nonlinearity. Rigorous proof of practical fixed-time convergence for the tracking error is provided, along with comprehensive experimental validation conducted on a PEA. The experimental campaign encompasses reference tracking across frequencies ranging from 1 to 10 Hz and peak-to-peak amplitudes from 1 to 9 m, as well as hybrid-frequency sinusoidal tracking in the presence of input disturbances. Experimental results show that compared to other tested FTCs, ANNFTC achieves better tracking accuracy and more rapid convergence time of tracking error under different initial states, the existence of model uncertainties, and the external disturbance.
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