工业过程数据涵盖离散和连续变量,它们之间内在的统计分布特性是揭示系统运行状况的关键.然而,现有的监测模型多聚焦于高斯假设下的连续过程变量,忽略了离散变量、连续变量的多模分布特性以及数据中的噪声、离群点对模型的影响,难以精准反映数据的真实分布特性,对非高斯、非平稳过程的异常检测效果欠佳.因此,本文提出一种鲁棒的工业过程异常检测方法——连续和离散变量协同分析的变分贝叶斯混合判别方法(Continuous and Discrete Variables-Concurrent Analysis-based Variational Bayesian Mixture Discriminant,CDVCA-VBMD).通过构建基于变分贝叶斯推断的面向连续变量的混合学生分布模型与面向离散多变量的混合多项分布模型,有效解决过程变量非高斯分布特性难以有效提取的问题,实现了过程变量复杂相关性的高效处理与分析;同时,在过程监测中引入了持续学习的理念,确保对非平稳时变工业过程异常的有效检测.以数值仿真系统和田纳西·伊斯曼过程为例,进行了大量验证性和对比性实验.结果表明,CDVCA-VBMD能准确估计非平稳工业过程多变量的混合多模分布特性,并对数据中的噪声和离群点具有较强的鲁棒性,从而实现工业异常的准确检测,为非高斯复杂工业过程的长期、鲁棒监测提供了有力支持.
Continuous and Discrete Variables-Concurrent Analysis-Based Nonsta-tionary and Non-Gaussian Industrial Process Anomaly Detection
Industrial process data encompasses continuous and discrete variables,whose underlying statistical charac-teristics are crucial for revealing operational conditions.However,current process monitoring models predominantly focus on continuous variables with Gaussian assumptions,which often overlook the significant effects of the multimodal distribu-tion characteristics of process variables,as well as the noises and outliers in process data.These limitations hinder the mod-els'ability to capture complex statistical characteristics,leading to low detection performance particularly in non-Gaussian and nonstationary processes.This article introduces a robust anomaly detection method termed continuous and discrete vari-ables-concurrent analysis-based variational Bayesian mixture discriminator(CDVCA-VBMD).It models continuous vari-ables with a mixed student's t-distribution and discrete variables with a mixed multinomial distribution based on variational Bayesian inference,which can adeptly manage and analyze the complex interdependencies between process variables and overcome the non-Gaussian nature of continuous variables effectively.Furthermore,CDVCA-VBMD incorporates continu-ous learning to ensure the effective detection of nonstationary industrial processes.Extensive validation and comparative ex-periments were conducted on a numerical simulation system and the Tennessee Eastman(TE)process.The outcomes dem-onstrate that CDVCA-VBMD can accurately characterize the mixed multimodal distribution characteristics of time-varying industrial processes,facilitating accurate anomaly detection.Additionally,the method exhibits robustness against noise and outliers in process data,supporting long-term and reliable monitoring of complex and non-Gaussian industrial processes.
万方数据
维普
