基于MEC优化BP神经网络的PSD非线性校正
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摘要
光电位置敏感传感器(PSD),特别是其B区存在非线性误差大、测量精度低的问题。针对现有神经网络校正方法的不足,提出一种基于思维进化计算(MEC)算法优化的神经网络校正模型。该方法首先应用MEC算法搜索最优神经网络初始权值和阈值,再利用LM算法训练BP神经网络,最后将训练好的神经网络用于PSD非线性校正。仿真实验结果表明,所提出的方法校正精度高,收敛速度快,泛化能力强,测试数据的平均误差被控制在0.005 mm以下。经过校正后的PSD在非线性区表现出与线性区相似的线性程度,提高了PSD的测量精度。
Position sensitive detector(PSD),especially its B region,has the problems of large nonlinear error and low measurement accuracy.To overcome the deficiencies of existing neural network methods,an optimized neural network nonlinear correction model based on MEC is proposed.First,the MEC algorithm is adopted to search the optimal initial weights and thresholds of the BP neural network,then,the Levenberg-Marquardt algorithm is adopted to train the BP network.Finally,the trained network is used for PSD nonlinear correction.The simulation results show that the proposed correction method has high correction accuracy,fast convergence speed and strong generalization ability.The average test error is less than 0.005 mm.The linearity of corrected PSD in the nonlinear region is similar to the linear region,therefore,the measurement accuracy of PSD is improved.
Position sensitive detector(PSD),especially its B region,has the problems of large nonlinear error and low measurement accuracy.To overcome the deficiencies of existing neural network methods,an optimized neural network nonlinear correction model based on MEC is proposed.First,the MEC algorithm is adopted to search the optimal initial weights and thresholds of the BP neural network,then,the Levenberg-Marquardt algorithm is adopted to train the BP network.Finally,the trained network is used for PSD nonlinear correction.The simulation results show that the proposed correction method has high correction accuracy,fast convergence speed and strong generalization ability.The average test error is less than 0.005 mm.The linearity of corrected PSD in the nonlinear region is similar to the linear region,therefore,the measurement accuracy of PSD is improved.
引文
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[2]林青松,杨孝敬,王军晓,等.改进型BP神经网络的2维PSD非线性校正[J].激光技术,2012,36(1):124-126.
[3]张风奇,王永生,张宝尚,等.二维位置敏感器件(PSD)的畸变校正算法研究[J].计算机科学,2013,40(Z2):150-152.
[4]吴双磊,刘洁瑜,盛利昊,等.平台漂移测试系统中PSD非线性修正算法研究[J].测控技术,2014,33(5):153-156.
[5]李博,高艺,王红平,等.高精度PSD线性化方法与实验研究[J].长春理工大学学报(自然科学版),2013,36(Z1):36-39.
[6]Wang F,Xie K M,Liu J X.Swarm intelligence based MEA design[J].Control&Decision,2010,25(1):145-148.
[7]莫长涛,陈长征,张黎丽,等.二维PSD非线性修正共轭梯度算法[J].东北大学学报(自然科学版),2003,24(5):507-509.
[8]杨孝敬.二维PSD非线性误差校正算法研究[D].洛阳:河南科技大学,2012.
[9]Wang C L,Zhang J G.A study on the convergence of MEBML algorithms[C]//Proceedings of the 3rd World Congress on Intelligent Control and Automation.2000.
[10]王川龙,孙承意.基于思维进化的MEBML算法的收敛性研究[J].计算机研究与发展,2000,37(7):838-842.