Novel robust approach for constructing Mamdani-type fuzzy system based on PRM and subtractive clustering algorithm

A novel approach for constructing robust Mamdani fuzzy system was proposed, which consisted of an efficiency robust estimator(partial robust M-regression, PRM) in the parameter learning phase of the initial fuzzy system, and an improved subtractive clustering algorithm in the fuzzy-rule-selecting phase. The weights obtained in PRM, which gives protection against noise and outliers, were incorporated into the potential measure of the subtractive cluster algorithm to enhance the robustness of the fuzzy rule cluster process, and a compact Mamdani-type fuzzy system was established after the parameters in the consequent parts of rules were re-estimated by partial least squares(PLS). The main characteristics of the new approach were its simplicity and ability to construct fuzzy system fast and robustly. Simulation and experiment results show that the proposed approach can achieve satisfactory results in various kinds of data domains with noise and outliers. Compared with D-SVD and ARRBFN, the proposed approach yields much fewer rules and less RMSE values.

数据驱动的最优运行状态鲁棒评价方法及应用

在现代复杂工业生产过程中,细致而稳健的运行状态评价及非优因素识别对指导工业生产具有十分重要的实际意义.考虑到复杂工业过程难以建立准确的数学模型和实际工业过程数据噪声及离群点污染比较严重的问题,本文提出一种全潜鲁棒偏M估计的复杂工业过程最优状态的鲁棒评价方法.在建立离线评价模型时,通过对过程数据主元和残差子空间的进一步分解,提取出能够反映与原材料、生产消耗和产品质量等因素相关的经济指标的变化信息,同时采用样本数据加权的方法消除离群点对评价模型的不利影响,提高算法的鲁棒性;在线评价时,针对生产过程中存在不确定性因素,引入在线数据窗口及相似度分析进行在线评价,并给出在线评价的准则和流程,提高评价结果的可靠性,当评价结果非优时,通过计算相应变量的贡献率识别非优因素.最后,通过重介质选煤过程验证了所提方法的有效性.

灰色稳健总体最小二乘估计及高铁路基变形预测

最小二乘估计和部分变量误差模型的总体最小二乘估计不具备抵御粗差的能力。鉴于粗差可能同时出现在灰色白化微分方程的观测值和系数矩阵中,本文提出基于IGGⅢ抗差方案的部分变量总体最小二乘稳健估计。结合仿真数据和高铁路基观测数据,系统地比较稳健最小二乘、部分变量总体最小二乘、本文算法参数估计结果和算法稳定性。结果表明,本文算法预测精度高,可以应用到高铁路基沉降预测中。

基于中位参数法相关观测的抗差加权整体最小二乘算法

在抗差加权整体最小二乘算法中,抗差模型的抗差性与初值的好坏关系极大,若以最小二乘或整体最小二乘估值作为初值,必定会受到粗差污染而影响其抗差性。考虑到观测向量和系数矩阵存在相关性,首先推导了部分变量误差(partial errors-in-variables, Partial EIV)模型的加权整体最小二乘算法,在此基础上提出了一种利用中位参数法求解抗差迭代初值的相关观测抗差加权整体最小二乘算法。然后采用中位参数法确定抗差初值,考虑到可能出现的粗差对观测空间与结构空间的综合影响,基于标准化残差构造权因子函数,实现其抗差解法。仿真实验结果表明,此算法具有良好的抗差性能,其参数估计结果比传统算法精度更高,且随着粗差个数的增加,其抗差稳定性较好。