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According to the above analysis and the data obtained by the measurement, the neural network hysteresis model based on polynomial fitting algorithm is established, and the model can reflect the hysteresis of PZT accurately. Based on this Model, feed-forward control and neuron self-adaptive PID algorithm is applied, and the hysteresis error of piezoelectric actuator has been compensated. Simulation results show that the mean relative error of the displacement track is reduced to 1.34%. So the output displacement of piezoelectric actuator can be controlled precisely. Thus the hysteresis effect of piezoelectric on micro-positioning system is diminished, and the positioning accuracy of micro/nano-positioning system has been improved. 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[2]s ^, fNey, Sy, ]lwm. S5uvtߏnyr'`v^!jS YTc6R[J]. 5u:gNc6Rf[b. 2009, 13(5): 766-771. [3]sO, v, vf[Q. S5uvt_RSv YTc6R[J]. IQf[|[] z. 2012, 20(6): 1265 -1271. [4]Wei Tech Ang, Pradeep K. Khosla,Came- ron N.Riviere. Feedforward Controller With Inverse Rate-DependentModel for Piezoelectric Actuators in Trajecto- ry-Tracking Applications[J]. IEEE/ASME TRANSACTIONS ON MECHATRONICS. 2007,12 (2): 134-142. [5] _ h.S5u]\OS_[MO|~^!jNc6Rb/g[D]. q\Nq\N'Yf[ZSXf[MOe, 2009. [6]ؚ. N]^y~Q~StSNw[O[M]. SN:gh]NQHr>y, 2003:1-20. [7]ޘ, }[,RNw,Ğs\.WNYy_bTvS5uvtߏn^y~Q~^!j[J].{:gNw,2015,32(1):361-365. [8]fO, TNёpg. US^y~CQ^PID c6RhVv[sNNwxvz[J]. 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