The state estimation of a non-linear model of a piezoelectric stack actuator showing hysteresis is proposed. Model
uncertainties related to hysteresis effect in piezoelectric stack actuators, most prominently in higher frequency zone; can
make the closed-loop control system unstable. Furthermore it may lead to inaccurate open-loop control frequently
causing harmonic distortions when the stack is driven with sinusoidal input signals. In order to solve the above issues, it
is very important to determine an accurate non-linear model of the piezoelectric stack actuator. The Unscented Kalman
Filter (UKF) algorithm is used to accurately estimate the states of the non-linear model of the piezo-electric stack
actuator such that hysteresis effect can be accurately predicted. The states of the piezo-electric stack actuator model are
assumed to be zero-mean Gaussian random variables (GRV). The UKF uses the Unscented Transformation (UT) method
to choose the minimal number of samples points such that the true mean and covariance of the GRV is completely
captured. On propagation through the true non-linear model of the piezo-electric stack actuator, these sample points
capture the posterior mean and covariance accurately to third order for Gaussian inputs. The accurately estimated model
thereby assists studies aiming at a better understanding of the hysteresis effect as well as is useful in robust control
system design. Preliminary results of this investigation are presented.
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