Comparison Between Radial Basis Function Neural Network and Regression Model for Estimation of Rice Biophysical Parameters Using Remote Sensing

The radial basis function (RBF) emerged as a variant of artificial neural network. Generalized regression neural network (GRNN) is one type of RBF, and its principal advantages are that it can quickly learn and rapidly converge to the optimal regression surface with large number of data sets. Hyperspectral reffectance (350 to 2500 nm) data were recorded at two different rice sites in two experiment fields with two cultivars, three nitrogen treatments and one plant density (45 plants m-2). Stepwise multivariable regression model (SMR) and RBF were used to compare their predictability for the leaf area index (LAI) and green leaf chlorophyll density (GLCD) of rice based on reffectance (R) and its three different transformations, the first derivative reffectance (D1), the second derivative reffectance (D2) and the log-transformed re?ectance (LOG). GRNN based on D1 was the best model for the prediction of rice LAI and GLCD. The relationships between different transformations of reffectance and rice parameters could be further improved when RBF was employed. Owing to its strong capacity for nonlinear mapping and good robustness, GRNN could maximize the sensitivity to chlorophyll content using D1. It is concluded that RBF may provide a useful exploratory and predictive tool for the estimation of rice biophysical parameters.

A Gravity Forward Modeling Method based on Multiquadric Radial Basis Function

It is one of the most important part to build an accurate gravity model in geophysical exploration.Traditional gravity modelling is usually based on grid method,such as difference method and finite element method widely used.Due to self-adaptability lack of division meshes and the difficulty of high-dimensional calculation.

High-precision chaotic radial basis function neural network model:Data forecasting for the Earth electromagnetic signal before a strong earthquake

The Earth’s natural pulse electromagnetic field data consists typically of an underlying variation tendency of intensity and irregularities.The change tendency may be related to the occurrence of earthquake disasters.Forecasting of the underlying intensity trend plays an important role in the analysis of data and disaster monitoring.Combining chaos theory and the radial basis function neural network,this paper proposes a forecasting model of the chaotic radial basis function neural network to conduct underlying intensity trend forecasting by the Earth’s natural pulse electromagnetic field signal.The main strategy of this forecasting model is to obtain parameters as the basis for optimizing the radial basis function neural network and to forecast the reconstructed Earth’s natural pulse electromagnetic field data.In verification experiments,we employ the 3 and 6 days’data of two channels as training samples to forecast the 14 and 21-day Earth’s natural pulse electromagnetic field data respectively.According to the forecasting results and absolute error results,the chaotic radial basis function forecasting model can fit the fluctuation trend of the actual signal strength,effectively reduce the forecasting error compared with the traditional radial basis function model.Hence,this network may be useful for studying the characteristics of the Earth’s natural pulse electromagnetic field signal before a strong earthquake and we hope it can contribute to the electromagnetic anomaly monitoring before the earthquake.

Synchronization of chaos using radial basis functions neural networks

The Radial Basis Functions Neural Network （RBFNN） is used to establish the model of a response system through the input and output data of the system. The synchronization between a drive system and the response system can be implemented by employing the RBFNN model and state feedback control. In this case, the exact mathematical model, which is the precondition for the conventional method, is unnecessary for implementing synchronization. The effect of the model error is investigated and a corresponding theorem is developed. The effect of the parameter perturbations and the measurement noise is investigated through simulations. The simulation results under different conditions show the effectiveness of the method.

Estimation of vegetation biophysical parameters by remote sensing using radial basis function neural network

Hyperspectral reflectance (350~2500 nm) data were recorded at two different sites of rice in two experiment fields including two cultivars, and three levels of nitrogen (N) application. Twenty-five Vegetation Indices (VIs) were used to predict the rice agronomic parameters including Leaf Area Index (LAI, m2 green leaf/m2 soil) and Green Leaf Chlorophyll Density (GLCD, mg chlorophyll/m2 soil) by the traditional regression models and Radial Basis Function Neural Network (RBF). RBF emerged as a variant of Artificial Neural Networks (ANNs) in the late 1980’s. A large variety of training algorithms has been tested for training RBF networks. In this study, Original RBF (ORBF), Gradient Descent RBF (GDRBF), and Generalized Regression Neural Network (GRNN) were employed. Results showed that green waveband Normalized Difference Vegetation Index (NDVIgreen) and TCARI/OSAVI have the best prediction power for LAI by exponent model and ORBF respectively, and that TCARI/OSAVI has the best prediction power for GLCD by exponent model and GDRBF. The best performances of RBF are compared with the traditional models, showing that the relationship between VIs and agronomic variables are further improved when RBF is used. Compared with the best traditional models, ORBF using TCARI/OSAVI improves the prediction power for LAI by lowering the Root Mean Square Error (RMSE) for 0.1119, and GDRBF using TCARI/OSAVI improves the prediction power for GLCD by lowering the RMSE for 26.7853. It is concluded that RBF provides a useful exploratory and predictive tool when applied to the sensitive VIs.

Adaptive proportional integral differential control based on radial basis function neural network identification of a two-degree-of-freedom closed-chain robot

A closed-chain robot has several advantages over an open-chain robot, such as high mechanical rigidity, high payload, high precision. Accurate trajectory control of a robot is essential in practical-use. This paper presents an adaptive proportional integral differential （PID） control algorithm based on radial basis function （RBF） neural network for trajectory tracking of a two-degree-of-freedom （2-DOF） closed-chain robot. In this scheme, an RBF neural network is used to approximate the unknown nonlinear dynamics of the robot, at the same time, the PID parameters can be adjusted online and the high precision can be obtained. Simulation results show that the control algorithm accurately tracks a 2-DOF closed-chain robot trajectories. The results also indicate that the system robustness and tracking performance are superior to the classic PID method.

面向数字孪生模型应用的油浸式变压器绕组温度POD-RBFLP降阶计算方法

了解油浸式电力变压器绕组的温度情况是保证其运行稳定性的关键,也是当前针对油浸式变压器数字孪生分析的必然需求。为了快速地获得变压器绕组的稳态温度,该文提出一种基于本征正交分解(proper orthogonal decomposition,POD)和包含线性多项式的径向基函数响应面法(radial basis function response surface method including linear polynomial,RBFLP)的降阶计算模型。首先,讨论POD方法的降阶特性,并设计一种基于留一法交叉验证的自适应获得快照矩阵方法,以提高计算精度及效率;其次,采用响应面方法建立POD模态系数与绕组工况的相关关系,旨在实现通过绕组工况快速获得POD模态系数,从而跳过对降阶模型的复杂非线性计算,进而高效重构绕组温度场。相关算例表明,该方法具有较好的计算精度和效率,在50组测试工况下,与全阶计算相比,误差不超过2.5 K,且总计算时间仅为1.45 s;最后,基于110 kV变压器绕组搭建温升试验平台,试验结果表明,降阶计算结果相较于试验结果,平均计算误差不超过2 K,且单步计算时间仅为0.03 s,相较于同等规模的全阶计算,计算效率有较大幅度地提升。

智能汽车轨迹跟踪MPC-RBF-SMC协同控制策略研究

针对自动驾驶车辆行驶过程中模型失配以及外部环境干扰导致车辆轨迹跟踪环节精确性不高的问题,提出了一种结合车辆运动学模型预测控制(MPC)、径向基(RBF)神经网络和滑模控制(SMC)的轨迹跟踪控制策略。通过建立车辆运动学MPC模型计算当前状态车辆期望横摆角速度,并将其与实际横摆角速度的偏差输入RBF-SMC控制器,利用RBF快速逼近非线性模型的特点,结合滑模控制输出前轮转角,实现车辆的横向轨迹跟踪控制。仿真结果表明,与传统的控制器相比,该方法轨迹跟踪精度显著提高,并在不同行驶工况下表现出较好的鲁棒性。

高速列车纵向动力学建模与自适应RBFNN控制

高速列车由多节车厢链接而成的结构特性导致其高速运行在变路况线路条件下难以有效地对其进行优化控制。针对上述问题,提出一种高速列车纵向动力学模型与径向基函数神经网络(RBFNN)控制策略。考虑列车车钩力和复杂线路条件,分析整列车前后的不同受力情况,建立列车纵向动力学模型。针对该模型无外加干扰时设计一种理想反馈控制律,引入RBFNN对理想控制输出进行拟合,在考虑干扰项影响的情况下,通过设计参数估计自适应律代替神经网络权值的调整,并对其进行Lyapunov稳定性证明。采用京石武高铁北京西—郑州东段的CRH380B型高速列车真实线路运行数据进行仿真模拟,并在相同条件下与反演滑模(BSSM)控制器的仿真结果进行对比。仿真结果表明所提控制器更能有效应对复杂路况变化和外界干扰,对高速列车具有更好的控制效果,改善其运行的平稳性及高效性。

输入饱和约束下自适应RBF神经网络非线性反馈船舶航向控制

针对输入饱和约束下外界扰动和模型不确定情况下的船舶航向跟踪控制问题,提出一种自适应径向基函数(radial basis function,RBF)神经网络非线性反馈航向跟踪控制方法。利用自适应RBF神经网络对外界扰动和模型不确定项进行估计,并利用最小学习参数法减少计算量;将一个具有误差增益反相关特征的非线性函数嵌入控制律中,设计一种非线性反馈控制方法;利用李雅普诺夫理论证明所有信号在考虑外界扰动和模型不确定的船舶航向跟踪控制系统中都是一致有界的。通过仿真和比较,验证了所设计控制方法的有效性。所做研究可为输入饱和约束下船舶航向跟踪控制提供参考,具有工程实际意义。

基于AGA-RBF神经网络模型的叶绿素a质量浓度预测研究

叶绿素a质量浓度是预测湖泊水华形成的重要影响因子,但常用的径向基(radial basis function,RBF)神经网络存在容易陷入局部极值,导致预测精度欠佳.针对这一问题,采用自适应遗传算法(adaptive genetic algorithm,AGA)对RBF神经网络进行优化,构建基于AGA-RBF神经网络预测模型,以莆田东圳水库为应用案例,对叶绿素a质量浓度进行预测,通过采集到的数据对预测模型进行仿真,对比均方根误差(RMSE)、相对误差(RE)以及平均相对误差(MRE),验证改进后的AGA-RBF模型具有更好的预测精度,以期对叶绿素a质量浓度进行长期预测.

基于蛇算法优化的改进RBF神经网络的航天电磁继电器贮存寿命预测方法

针对航天电磁继电器的接触电阻预测和预测精度问题,提出了一种基于蛇优化(SO)算法改进BRF神经网络的模型。在传统径向基函数(RBF)模型基础上,通过SO算法对其权值参数进行优化,从而更好地预测继电器接触电阻值。基于SO-RBF模型与RBF模型、GA-RBF模型分别预测接触电阻,对比分析预测结果,表明所提模型具有较高的预测精度。

基于APID-RBF神经网络的光伏MPPT方法

针对光照强度急速变化和局部阴影时光伏发电系统最大功率点追踪响应速度慢、多峰值等问题,提出一种基于RBF神经网络与自适应PID控制相结合的控制方法。首先,采用RBF神经网络对环境的实时变化直接跟踪光伏最大功率点。然后,利用自适应PID的辅助修正,抑制光伏电池输出功率的波动。神经网络能提升在复杂环境下的跟踪速度,自适应PID能增强对神经网络误差的消除能力,提升跟踪精度。仿真结果表明,APIDRBF双控策略具有稳态性能高和控制精度高等优点,能有效提高光伏发电效率和稳定性。

基于RBFNN-ISSA的特大跨径悬索桥有限元模型修正

针对大跨径悬索桥一类复杂结构的有限元模型修正问题,提出了一种基于径向基神经网络(radial basis function neural network,RBFNN)子结构代理模型与改进麻雀搜索算法(improved sparrow search algorithm,ISSA)的有限元模型修正方法。首先,基于桥梁图纸数据采用通用有限元软件建立一座大跨悬索桥的初始有限元模型,并根据拉丁超立方抽样原则生成子结构材料参数-结构响应的训练样本,通过RBF神经网络和子结构模拟方法对初始有限元模型进行解构重组和样本学习,拟合关于材料参数-结构响应的代理模型。其次,建立考虑主梁挠度和模态频率误差最小的有限元模型参数修正数学优化模型,采用Tent混沌映射及黄金正弦策略改进标准麻雀搜索算法,引入柯西分布函数和贪心保留策略对每一代麻雀种群进行扰动,以用于求解联合静、动力特征的有限元模型修正数学优化问题。最后,以杭瑞高速洞庭湖大桥为工程背景,进行了悬索桥荷载试验,利用实测桥梁响应数据验证了该方法的可行性。研究结果表明:基于RBF神经网络与子结构法的模型修正方法,可以建立拟合精度较高的悬索桥结构代理模型;基于子结构RBF神经网络与改进麻雀搜索算法修正后的有限元模型相较于整体RBF神经网络、支持向量机和Kriging模型,大幅提升了对于实际结构的模拟精度,与实测数据相比,修正前后有限元模型在两级静力加载工况下13个有效测点挠度的平均相对误差降低了25%以上,前8阶模态频率的平均相对误差由-6.83%降至-2.38%,MAC值结果表明修正后模型能够准确地反映出大桥的实际振动状态,有效改善了初始有限元模型计算失真的情况;此外,基于混合策略改进后的麻雀搜索算法对于有限元模型修正参数的寻优具有更佳的收敛效率和稳定性。

基于RBF代理模型的基坑开挖对临近边坡的影响

深基坑开挖往往会影响临近边坡的稳定性并引发滑坡失稳类的工程事故。该文提出一种径向基函数(RBF)与优化拉丁超立方体抽样(LHS)相结合的代理模型,来预测不同基坑开挖方案影响下临近边坡的稳定性。首先,将抽样集合X的参数带入FLAC3D进行基坑开挖数值模拟,再利用二分法确定边坡安全系数得到映射目标值Y,并形成样本数据集。然后,通过样本数据集的训练测试,最终得到结构为3-20-1的代理模型,将基坑边坡之间的距离、开挖宽度、开挖深度3个参数作为输入层,经过基函数所构成隐藏层,输出边坡安全系数作为边坡是否失稳的依据。通过工程算例的对比,表明此代理模型能够较为准确地预测基坑不同开挖条件下边坡的稳定性。

基于RBF神经网络的无线电信号自动调制识别方法

无线电信号自动调制识别存在信号识别准确率低的问题。因此,设计基于径向基函数(Radial Basis Function,RBF)神经网络的无线电信号自动调制识别方法。提取无线电自动调制信号特征,划分调制信号为若干信号块,识别调制类型。基于RBF神经网络构建信号自动调制识别模型,将RBF作为隐单元的“基”,并通过隐单元函数空间,映射调制信号矢量特征到隐空间,通过调制信号瞬时角频率偏移情况,确定自动调制类型,实现无线电信号的自动调制与精准识别。开展对比实验,实验结果表明该方法的识别准确率更高,能够应用于实际生活。

基于FRBPSO-RBF神经网络的污水BOD5软测量方法

污水处理过程中污水BOD5难以实时准确测量,故软测量方法逐渐被用于污水BOD5的预测,其中RBF神经网络软测量方法应用广泛,但存在训练过程易陷入局部极值等问题。为提高RBF神经网络的预测精度,提出了基于适应度排名的粒子群算法(fitness ranking based particle swarm optimization,FRBPSO),根据适应度排名与迭代次数确定惯性权重的大小,并根据粒子个体历史最优值的排名与迭代次数确定自我学习因子与社会学习因子的大小,并将FRBPSO算法引入RBF神经网络的参数训练中。基于13个基准测试函数与其他3个粒子群优化算法对比,实验结果显示FRBPSO算法的寻优能力相对较强。再将基于FRBPSO算法的RBF神经网络用于构建污水BOD5软测量模型,仿真结果表明,在测试数据中,FRBPSO-RBF软测量模型的平均绝对误差比PSO-RBF软测量模型、DAIW-RBF软测量模型、SCVPSO-RBF软测量模型分别降低了0.7178、0.2402、0.5851,平均绝对百分比误差分别降低了0.47%、0.15%、0.33%,均方根误差分别降低了0.0034、0.0015、0.0039。与其他3个基于PSO算法的BOD5软测量模型相比,FRBPSO-RBF模型具有较高的BOD5预测精度。

基于RBF的MEMS加速度计温控系统设计

针对微机电系统(MEMS)加速度计受到温度变化影响较大、产生不同程度的漂移和测量误差,难以满足工业机器人领域高精度导航的问题,提出一种提高MEMS精度的温度补偿方法。利用热电制冷器设计适用于嵌入式的温度控制系统,使MEMS传感器的工作温度相对稳定。利用MPU6050的MEMS加速度计,设计一种基于STM32主控的嵌入式温度控制系统,并通过上位机采集数据,对比分析改进径向基函数(RBF)、RBF和常规PID等算法的温控效果。结果表明:在当前的PID控制参数的条件下,改进的RBF整定效果相对于RBF-PID和经典PID,在超调量、稳态误差、调节时间等指标上,表现出更优的系统响应和控制精度,超调量降低41.3%,调整时间减低52.3%,系统对温度的控制精度约为0.04℃。

基于RBF神经网络的固定时间滑模控制策略研究

为了实现对机械臂末端的高精度跟踪控制,本文提出了一种基于径向基函数(Radial basis function,RBF)神经网络的固定时间滑模跟踪控制策略。首先,建立机械臂的动力学模型。然后,将RBF神经网络和固定时间滑模面结合,设计RBF固定时间滑模控制器,以实现对机械臂末端轨迹的高精度控制;并利用Lyapunov稳定性理论对所设计控制器的理论可行性进行了证明。最后,以二关节机械臂为研究对象进行仿真实验。结果表明:RBF神经网络的固定时间滑模跟踪控制策略能估计模型中的不确定参数,有效地改善了控制效果;并使控制器具有固定时间收敛特性,提高了机械臂的收敛速度。

基于RBF-ANN GA的水下空化水射流喷嘴结构优化

为使空化水射流的性能满足船舶水下清洁的需求,对喷嘴结构进行优化,提出一种基于径向基函数(RBF)、人工神经网络(ANN)和遗传算法(GA)的水下空化水射流喷嘴结构优化方法。通过数值模拟计算设计参数(如入口段长度、收缩段长度、圆柱段长度、扩散段长度、入口半径、圆柱段半径、收缩角和扩散角等)与空化性能参数轴线最大蒸汽体积分数的关系,通过RBF-ANN对该关系进行预测,解决采用GA进行结构优化时个体适应度难以计算的问题。将该方法与传统的方法进行对比,结果表明,该方法能快速且稳定地计算个体的适应度,相比传统方法能更有效地提升喷嘴的空化性能。