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15 October 2012 Inverse open-loop control of a nano-positioner based on piezo-electric actuators
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Piezo-electric actuators with advantage of fast responsiveness, large force output, low power consumption, negligible friction and no backlash are widely used in precision positioning, adaptive optics and vibration conduction. However its inherent hysteresis brings difficulty to high precision positioning. To describe the hysteresis, a mathematical model based on experimental data is used. And the inverse of the model is connected to the piezo-electric actuator as a controller to compensating the hysteresis. In this paper KP operator is used to model the hysteresis of piezo-electric actuators and a numerical algorithm is proposed to compute the inverse. Experiments data of major hysteresis loop and minor loop collected on a nano-positioning stage are used to identify the model Γ based on which the inverse model Γ-1 is developed. Experiments show that given a voltage series the model Γ can give displacement prediction which has an error of 6% relative to experimental results and Γ-1 can give voltage prediction with the error of 5% relative to the experimental data.
© (2012) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Shu Qiang, Xuejun Rao, and Ningping Shi "Inverse open-loop control of a nano-positioner based on piezo-electric actuators", Proc. SPIE 8418, 6th International Symposium on Advanced Optical Manufacturing and Testing Technologies: Design, Manufacturing, and Testing of Smart Structures, Micro- and Nano-Optical Devices, and Systems, 84181I (15 October 2012);

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