Abstract
Rate-dependent hysteresis of piezoelectric stack actuators (PSAs) is known to cause oscillations and instabilities. This paper introduces a novel electro-mechanical coupling model that can accurately characterize the high-bandwidth rate-dependent hysteresis of a PSA. The proposed model contains three components to fully represent the output response of the system, namely, an electric model that is used to describe the electric dynamic behaviors of the PSA and its power amplifier, a hysteresis model that is applied to represent the inverse piezoelectric effect, and a mechanical model that is able to characterize the mechanical dynamic behavior of the PSA. It should be noted that, in the mechanical model, the force generated by the inverse piezoelectric effect of piezoelectric wafers is considered a distributed force and the dynamic model of the PSA is regarded as a longitudinal vibration straight bar with a uniform cross section. Through this proposed model, high modeling accuracy is achieved well with high-bandwidth varying frequencies (1–1000 Hz) as well as varying amplitudes. This paper provides a simple and effective novel method for the high-bandwidth modeling of smart material-based actuators with rate-dependent hysteresis nonlinearity.
Highlights
Because of the high bandwidth, large output force, high energy density, and fast response time, piezoelectric stack actuators (PSAs) are gaining popularity in many nano-positioning applications.1–5 these actuators exhibit rate-dependent hysteresis nonlinearities that increase as the frequency of the applied voltage increases
Feedforward control methods based on hysteresis models and feedback control methods based on sensors have constantly been used to reduce the hysteresis nonlinearities of PSAs
This model mainly contains three components to fully represent the output response of the system, namely, an electric model that is used to describe the electric dynamic behaviors of the PSA and its power amplifier, a hysteresis model that is applied to represent the inverse piezoelectric effect, and a mechanical model that is able to characterize the mechanical dynamic behaviors of the PSA considered as a distributed parameter system
Summary
Because of the high bandwidth, large output force, high energy density, and fast response time, piezoelectric stack actuators (PSAs) are gaining popularity in many nano-positioning applications. these actuators exhibit rate-dependent hysteresis nonlinearities that increase as the frequency of the applied voltage increases. Because of the high bandwidth, large output force, high energy density, and fast response time, piezoelectric stack actuators (PSAs) are gaining popularity in many nano-positioning applications.1–5 These actuators exhibit rate-dependent hysteresis nonlinearities that increase as the frequency of the applied voltage increases.
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