Instrumentation, Techniques, and Measurement

Hysteresis compensation of the piezoelectric ceramic actuators–based tip/tilt mirror with a neural network method in adaptive optics

[+] Author Affiliations
Chongchong Wang

Chinese Academy of Sciences, State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, No. 3888, Dongnanhu Road, Changchun City, Jilin Province 130033, China

Chinese Academy of Sciences University, No. 19, Yuquan Road, Shijingshan District, Beijing 100039, China

Yukun Wang, Lifa Hu, Shaoxin Wang, Zhaoliang Cao, Quanquan Mu, Dayu Li, Chengliang Yang, Li Xuan

Chinese Academy of Sciences, State Key Laboratory of Applied Optics, Changchun Institute of Optics, Fine Mechanics and Physics, No. 3888, Dongnanhu Road, Changchun City, Jilin Province 130033, China

Opt. Eng. 55(5), 054107 (May 27, 2016). doi:10.1117/1.OE.55.5.054107
History: Received July 13, 2015; Accepted April 27, 2016
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Abstract.  The intrinsic hysteresis nonlinearity of the piezo-actuators can severely degrade the positioning accuracy of a tip-tilt mirror (TTM) in an adaptive optics system. This paper focuses on compensating this hysteresis nonlinearity by feed-forward linearization with an inverse hysteresis model. This inverse hysteresis model is based on the classical Presiach model, and the neural network (NN) is used to describe the hysteresis loop. In order to apply it in the real-time adaptive correction, an analytical nonlinear function derived from the NN is introduced to compute the inverse hysteresis model output instead of the time-consuming NN simulation process. Experimental results show that the proposed method effectively linearized the TTM behavior with the static hysteresis nonlinearity of TTM reducing from 15.6% to 1.4%. In addition, the tip-tilt tracking experiments using the integrator with and without hysteresis compensation are conducted. The wavefront tip-tilt aberration rejection ability of the TTM control system is significantly improved with the 3  dB error rejection bandwidth increasing from 46 to 62 Hz.

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© 2016 Society of Photo-Optical Instrumentation Engineers

Citation

Chongchong Wang ; Yukun Wang ; Lifa Hu ; Shaoxin Wang ; Zhaoliang Cao, et al.
"Hysteresis compensation of the piezoelectric ceramic actuators–based tip/tilt mirror with a neural network method in adaptive optics", Opt. Eng. 55(5), 054107 (May 27, 2016). ; http://dx.doi.org/10.1117/1.OE.55.5.054107


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