基于动态数据协调框架的鲁棒EKF用于含高斯/非高斯测量噪声的化工过程状态估计

IF 4.3 2区 工程技术 Q2 ENGINEERING, CHEMICAL
Guiting Hu , Luping Xu , Zhengjiang Zhang , Zhihui Hong , Junghui Chen
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引用次数: 0

摘要

状态估计在现代工业中起着至关重要的作用。扩展卡尔曼滤波(EKF)对于具有高斯噪声的非线性化学过程是有效的,但是当存在严重误差时,它就不那么有效了。本文通过在动态数据调和(DDR)框架中重新表述EKF来解决这一限制,从而产生了一个基于DDR的鲁棒EKF,专门用于具有非高斯测量噪声的化学过程的状态估计。随机误差和粗误差的组合使用受污染的高斯分布建模。将模型预测作为先验知识,采用定点迭代策略更新后验概率。此外,采用一阶线性化技术进行收敛分析。通过一个经典的数学算例和苯乙烯聚合反应,验证了基于ddr的EKF的鲁棒性和有效性。仿真结果表明,基于ddr的EKF有效地减小了粗误差,实现了可靠的状态估计。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Robust EKF based on the framework of dynamic data reconciliation for state estimation of chemical processes with Gaussian/non-Gaussian measurement noise
State estimation plays a critical role in modern industry. The extended Kalman filter (EKF) is effective for nonlinear chemical processes with Gaussian noise, but it struggles when gross errors are present. This paper addresses this limitation by reformulating the EKF within the dynamic data reconciliation (DDR) framework, resulting in a robust DDR-based EKF tailored for state estimation in chemical processes with non-Gaussian measurement noise. The combination of random and gross errors is modeled using a contaminated Gaussian distribution. Model predictions are incorporated as prior knowledge, and a fixed-point iterative strategy is employed to update the posterior probability. Additionally, a first-order linearization technique is applied for convergence analysis. The robustness and effectiveness of the DDR-based EKF are demonstrated through both a classic mathematical example and a styrene polymerization reaction. Simulation results show that the DDR-based EKF effectively mitigates gross errors, achieving reliable state estimation.
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来源期刊
Chemical Engineering Science
Chemical Engineering Science 工程技术-工程:化工
CiteScore
7.50
自引率
8.50%
发文量
1025
审稿时长
50 days
期刊介绍: Chemical engineering enables the transformation of natural resources and energy into useful products for society. It draws on and applies natural sciences, mathematics and economics, and has developed fundamental engineering science that underpins the discipline. Chemical Engineering Science (CES) has been publishing papers on the fundamentals of chemical engineering since 1951. CES is the platform where the most significant advances in the discipline have ever since been published. Chemical Engineering Science has accompanied and sustained chemical engineering through its development into the vibrant and broad scientific discipline it is today.
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