Department of Electronics, Technological Educational Institute of Athens, Agiou Spiridonos Aigaleo 12210, Greece.
Int J Neural Syst. 2013 Dec;23(6):1350029. doi: 10.1142/S0129065713500299. Epub 2013 Oct 14.
This work presents an adaptive framework for building soft-sensors based on radial basis function (RBF) neural network models. The adaptive fuzzy means algorithm is utilized in order to evolve an RBF network, which approximates the unknown system based on input-output data from it. The methodology gradually builds the RBF network model, based on two separate levels of adaptation: On the first level, the structure of the hidden layer is modified by adding or deleting RBF centers, while on the second level, the synaptic weights are adjusted with the recursive least squares with exponential forgetting algorithm. The proposed approach is tested on two different systems, namely a simulated nonlinear DC Motor and a real industrial reactor. The results show that the produced soft-sensors can be successfully applied to model the two nonlinear systems. A comparison with two different adaptive modeling techniques, namely a dynamic evolving neural-fuzzy inference system (DENFIS) and neural networks trained with online backpropagation, highlights the advantages of the proposed methodology.
本工作提出了一种基于径向基函数 (RBF) 神经网络模型的软传感器构建自适应框架。自适应模糊均值算法用于进化 RBF 网络,该网络基于系统的输入输出数据来逼近未知系统。该方法基于两个独立的自适应级别逐步构建 RBF 网络模型:在第一级,通过添加或删除 RBF 中心来修改隐藏层的结构,而在第二级,使用具有指数遗忘的递归最小二乘算法调整突触权重。该方法在两个不同的系统上进行了测试,即模拟非线性直流电机和实际工业反应堆。结果表明,所产生的软传感器可成功应用于两个非线性系统的建模。与两种不同的自适应建模技术(即动态进化神经模糊推理系统 (DENFIS) 和在线反向传播训练的神经网络)的比较突出了该方法的优势。