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Abstract: This paper offers a new hybrid position estimation method for the sensorless control of piezoelectric actuators. Often mathematical models which map easy to measure signals to displacement are used in this role. The proposed method is aimed at enhancing the accuracy of commonly accepted black box models. Three easy to measure signals are available to be used to estimate displacement. One, the induced voltage, is not suitable for piezoelectric stacks. Two others are more generally usable: the piezoelectric voltage and the sensing voltage. This paper proposes, then theoretically and experimentally verifies a hybrid algorithm that uses the two latter signals to produce estimates of displacement with improved accuracy. [Copyright &y& Elsevier]

Highlights: [•] A grounded-load digital charge-based displacement estimator (GDCDE) is presented. [•] An artificial neural network (ANN) was also designed to estimate the piezoelectric tube's displacement using the piezoelectric voltage at low frequencies of excitation. [•] A complementary filter combines the proposed GDCDE and the ANN to estimate displacement over a wide bandwidth and to overcome drift. [•] The discrepancy between the desired and estimated displacement is fed back to the piezoelectric actuator using proportional control. [Copyright &y& Elsevier]