4.5 Article

Robust identification for nonlinear errors-in-variables systems using the EM algorithm

Journal

JOURNAL OF PROCESS CONTROL
Volume 54, Issue -, Pages 129-137

Publisher

ELSEVIER SCI LTD
DOI: 10.1016/j.jprocont.2017.03.008

Keywords

t-Distribution; Nonlinear EIV model; Multiple ARX models; Particle filter; EM algorithm

Funding

  1. National Natural Science Foundation of China [61473077, 61473078, 61503075]
  2. Ministry of Education
  3. International Collaborative Project of the Shanghai Committee of Science and Technology [16510711100]
  4. China Scholarship Council
  5. Natural Science Engineering Research Council of Canada

Ask authors/readers for more resources

This article presents a robust identification approach for nonlinear errors-in-variables (EIV) systems contaminated with outliers. In this work, the measurement noise is modelled using the t-distribution, instead of the traditional Gaussian distribution, to mitigate the effect of the outliers. The heavier tails of the t-distribution, through the adjustable degrees of freedom, is used to account for noise and outliers concomitantly. Further, to avoid the intricacies related to the direct nonlinear identification, we propose to approximate the nonlinear EIV dynamics using multiple local ARX models and aggregating them using an exponential weighting strategy. The parameters of the local models and weighting parameters are estimated using the expectation maximization (EM) algorithm, under the framework of the maximum likelihood estimation (MLE). The studies with simulated numerical examples and an experiment on a multi-tank system demonstrate the superiority of the proposed method. (C) 2017 Elsevier Ltd. All rights reserved.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.5
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

Article Computer Science, Artificial Intelligence

Data-Driven Adaptive Iterative Learning Bipartite Consensus for Heterogeneous Nonlinear Cooperation-Antagonism Networks

Yu Hui, Ronghu Chi, Biao Huang, Zhongsheng Hou

Summary: This study addresses the challenges of heterogeneous dynamics, strongly non-linear and non-affine structures, and cooperation-antagonism networks in multi-agent systems output consensus. It introduces a heterogeneous linear data model and an adaptive learning consensus protocol to improve system performance effectively.

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS (2023)

Article Automation & Control Systems

Tuning-Free Bayesian Estimation Algorithms for Faulty Sensor Signals in State-Space

Shunyi Zhao, Ke Li, Choon Ki Ahn, Biao Huang, Fei Liu

Summary: This article develops Bayesian estimation algorithms for estimating unforeseen signals in sensor outputs without tuning. A novel iterative algorithm using inverse Wishart distribution and variational inference technique is proposed to adaptively replace the effects of tuning parameters.

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS (2023)

Article Automation & Control Systems

A Robust Dissimilarity Distribution Analytics With Laplace Distribution for Incipient Fault Detection

Wanke Yu, Chunhui Zhao, Biao Huang, Min Wu

Summary: In this study, a robust dissimilarity distribution analytics (RDDA) method is proposed for incipient industrial fault detection. The probabilistic model of the RDDA method is formulated with Laplace distribution, which provides better robustness compared to Gaussian distribution based models. By using variational inference, maximum likelihood estimations of latent variables and model parameters can be derived. A monitoring strategy is established based on static and dynamic statistics, utilizing dissimilarity between distributions of datasets. The proposed RDDA method is more suitable for practical industrial applications due to its consideration of missing data problems. Experimental results demonstrate the method's ability to accurately detect incipient faults using historical data with missing values.

IEEE TRANSACTIONS ON INDUSTRIAL ELECTRONICS (2023)

Article Automation & Control Systems

Data-Driven Indirect Iterative Learning Control

Ronghu Chi, Huaying Li, Na Lin, Biao Huang

Summary: In this work, a data-driven indirect iterative learning control (DD-iILC) is proposed for a repetitive nonlinear system using a proportional-integral-derivative (PID) feedback control in the inner loop. A linear parametric iterative tuning algorithm for the set-point is developed from an ideal nonlinear learning function using an iterative dynamic linearization (IDL) technique. An adaptive iterative updating strategy of the parameter in the linear parametric set-point iterative tuning law is presented by optimizing an objective function for the controlled system. The convergence is proven using contraction mapping and mathematical induction, and the theoretical results are verified through simulations.

IEEE TRANSACTIONS ON CYBERNETICS (2023)

Article Computer Science, Interdisciplinary Applications

Reinforcement learning for soft sensor design through autonomous cross-domain data selection

Junyao Xie, Oguzhan Dogru, Biao Huang, Chris Godwaldt, Brett Willms

Summary: Data-driven soft sensors have been widely used in the process industry for quality variable estimation. However, building reliable soft sensors for complex industrial processes under limited data conditions is challenging. To address this issue, we propose a reinforcement learning framework that leverages samples from source domains to solve the cross-domain soft sensor problem. The proposed framework incorporates a method for sample selection and soft sensor design, taking into account correlation and estimation error metrics.

COMPUTERS & CHEMICAL ENGINEERING (2023)

Article Automation & Control Systems

Enhanced P-Type Control: Indirect Adaptive Learning From Set-Point Updates

Ronghu Chi, Huaying Li, Dong Shen, Zhongsheng Hou, Biao Huang

Summary: In this article, the authors propose an indirect adaptive iterative learning control scheme to enhance the performance of P-type controllers by learning from set points. Adaptive mechanism is included to regulate the learning gain using real-time measurements. The proposed methods are used for both linear and nonlinear systems, with theoretical analysis and simulation studies provided to validate the results.

IEEE TRANSACTIONS ON AUTOMATIC CONTROL (2023)

Article Engineering, Chemical

Statistical Test-Based Practical Methods for Detection and Quantification of Stiction in Control Valves

Seshu K. Damarla, Xi Sun, Fangwei Xu, Ashish Shah, Biao Huang

Summary: Control valve, affected by stiction, causes oscillations in closed-loop signals, leading to reduced product quality, plant throughput, and increased environmental impact. Therefore, it is crucial to detect and quantify stiction in control valves. In this study, four noninvasive and practical methods are developed using statistical tests such as F-test, t-test, modified Hotelling T2-test, and reverse arrangement test. These methods are applied to benchmark control loops from various industries and compared with existing methods. The results show that the proposed methods perform equally well or better than existing methods, with the t-test-based method and the modified Hotelling T2-test-based method being particularly effective. The proposed methods not only detect stiction but also quantify its severity, providing timely notifications to operators and assisting maintenance engineers in scheduling plant shutdowns. These methods are applicable to all control loops except for level loops.

INDUSTRIAL & ENGINEERING CHEMISTRY RESEARCH (2023)

Article Automation & Control Systems

Double Dynamic Linearization-Based Higher Order Indirect Adaptive Iterative Learning Control

Huaying Li, Ronghu Chi, Zhongsheng Hou, Biao Huang

Summary: This article proposes a higher order indirect adaptive iterative learning control scheme for nonlinear nonaffine systems, which improves the control performance by using a P-type controller and iterative learning to update set points, and introduces an iterative dynamic linearization method to transform into a linear parametric learning controller.

IEEE TRANSACTIONS ON CYBERNETICS (2023)

Article Energy & Fuels

Hammerstein-Wiener Model Identification for Oil-in-Water Separation Dynamics in a De-Oiling Hydrocyclone System

Stefan Jespersen, Zhenyu Yang, Dennis Severin Hansen, Mahsa Kashani, Biao Huang

Summary: To reduce the environmental impact of offshore oil and gas, stricter regulations on hydrocarbon discharge are being implemented. One approach to reducing oil discharge is by improving control systems through the introduction of new oil-in-water sensing technologies and advanced control methods. However, obtaining valid control-oriented models for de-oiling hydrocyclones has proven to be challenging, as existing models are often based on droplet trajectory analysis and do not account for the dynamics or require the measurement of droplet size distribution.

ENERGIES (2023)

Article Automation & Control Systems

Fault-Tolerant Soft Sensors for Dynamic Systems

Hongtian Chen, Biao Huang

Summary: This study develops three novel data-driven approaches for the development of fault-tolerant soft sensors in automation systems. The approaches, namely MSaS, SSaS, and IMSaS, aim to address the issue of unpredictable faults and their impact on soft sensor performance. MSaS constructs an optimal estimator of faults, SSaS removes influences from unknown sensor faults using a constructed subspace, and IMSaS is an improved version of MSaS that eliminates the effects of past prediction errors. These fault-tolerant soft sensors rely solely on system measurements and are evaluated through performance analysis and case studies.

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY (2023)

Article Automation & Control Systems

Variational Bayesian Approach to Nonstationary and Oscillatory Slow Feature Analysis With Applications in Soft Sensing and Process Monitoring

Vamsi Krishna Puli, Biao Huang

Summary: Extraction of underlying patterns from measured variables is important for data-driven control applications. The proposed model can separate oscillating patterns and nonstationary variations. The methodology is applied to solve a fouling monitoring problem for an industrial oil production process.

IEEE TRANSACTIONS ON CONTROL SYSTEMS TECHNOLOGY (2023)

Article Automation & Control Systems

Image restoration and analysis with application to quality variable prediction in flotation process

Yousef Salehi, Kaiyu Zhou, Biao Huang, Xuehua Zhang

Summary: The study proposes a computer vision model to estimate flotation froth concentration, addressing practical challenges such as contaminated images, camera noise, and outliers. By restoring contaminated images, extracting froth image features, and building a regression model, the algorithm can accurately estimate froth concentration. This algorithm provides a time-saving alternative to laboratory analysis, making it essential for advanced process control applications.

JOURNAL OF PROCESS CONTROL (2023)

Article Automation & Control Systems

Incremental Variational Bayesian Gaussian Mixture Model With Decremental Optimization for Distribution Accommodation and Fine-Scale Adaptive Process Monitoring

Qingyang Dai, Chunhui Zhao, Biao Huang

Summary: Due to frequent changes in operating conditions, industrial processes often exhibit time-varying behaviors, resulting in shifting data distributions. Conventional adaptive methods struggle to distinguish normal shifts from real faults when the distribution shifts widely. This study proposes an incremental variational Bayesian Gaussian mixture model (IncVBGMM) for adaptive monitoring to accommodate the changing data distribution caused by different degrees of time-varying behaviors. The proposed method effectively differentiates various types of faults from normal shifts and adapts to the time-varying dynamics.

IEEE TRANSACTIONS ON CYBERNETICS (2023)

Article Automation & Control Systems

Data-Driven Virtual Reference Set-Point Learning of PD Control and Applications to Permanent Magnet Linear Motors

Na Lin, Huaying Li, Ronghu Chi, Zhongsheng Hou, Biao Huang

Summary: In this work, a data-driven virtual reference setting learning (DDVRSL) method is proposed to enhance the PD feedback controller of the repetitive nonlinear system. The method utilizes an ideal nonlinear learning law and an iterative adaptation law to estimate parameters and improve robustness against uncertainties. The proposed method does not require exact mechanistic model knowledge and its convergence is proven through mathematical analysis and simulations.

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS (2023)

Article Automation & Control Systems

Dynamic Linearization and Extended State Observer-Based Data-Driven Adaptive Control

Ronghu Chi, Xiaolin Guo, Na Lin, Biao Huang

Summary: This article addresses the challenges of data-driven control design in the presence of strong uncertainties, hard nonlinearities, and model dependency. It proposes a dynamic linearization (DL) method and an extended state observer (ESO) to handle an unknown nonlinear nonaffine system. The article presents a modified linear data model (mLDM) that accurately captures the input-output dynamics, including both linear parameter increments and unmodeled uncertainties and disturbances. The theoretical results are mathematically proven and validated through simulations.

IEEE TRANSACTIONS ON SYSTEMS MAN CYBERNETICS-SYSTEMS (2023)

No Data Available