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A data-driven framework integrating Lyapunov-based MPC and OASIS-based observer for control beyond training domains 一个数据驱动框架,集成了基于 Lyapunov 的 MPC 和基于 OASIS 的观测器,用于超越训练领域的控制
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-05-08 DOI: 10.1016/j.jprocont.2024.103224
Bhavana Bhadriraju , Joseph Sang-Il Kwon , Faisal Khan

Due to their predictive capabilities and computational efficiency, data-driven models are often employed in model predictive controller (MPC) design. These models offer precise predictions within their training domains, which aids in effective process control. However, real-world processes frequently experience operational changes, requiring control under new conditions that can lie beyond the training domains of existing data-driven models. Developing new models for these scenarios is challenging due to limited historical data. To address this limitation, we develop a novel data-driven control framework integrating an adaptive modeling approach called operable adaptive sparse identification of systems (OASIS) with the Luenberger observer. Firstly, we train the OASIS model and identify its domain of applicability (DA) using a support vector machine-based classifier. Subsequently, we formulate a Lyapunov-based MPC that relies on the OASIS model within the DA and the OASIS-based observer model beyond the DA. Additionally, we establish theoretical guarantees on the input-to-state stability of the observer, along with analyzing the stabilizability and recursive feasibility of the designed LMPC. The developed framework enhances the applicability of data-driven process control in diverse operating conditions. We highlighted its effectiveness using a chemical reactor example.

由于其预测能力和计算效率,数据驱动模型经常被用于模型预测控制器(MPC)的设计中。这些模型可在其训练域内进行精确预测,从而帮助实现有效的过程控制。然而,现实世界中的流程经常会发生运行变化,需要在新的条件下进行控制,而这些条件可能超出了现有数据驱动模型的训练域。由于历史数据有限,针对这些情况开发新模型极具挑战性。为解决这一局限性,我们开发了一种新型数据驱动控制框架,将一种称为可操作自适应稀疏系统识别(OASIS)的自适应建模方法与卢恩贝格尔观测器集成在一起。首先,我们使用基于支持向量机的分类器训练 OASIS 模型并确定其适用域 (DA)。随后,我们制定了基于 Lyapunov 的 MPC,该 MPC 依赖于 DA 内的 OASIS 模型和 DA 外的基于 OASIS 的观测器模型。此外,我们还建立了观测器输入到状态稳定性的理论保证,并分析了所设计的 LMPC 的稳定性和递归可行性。所开发的框架增强了数据驱动过程控制在各种操作条件下的适用性。我们以化学反应器为例强调了它的有效性。
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引用次数: 0
Improved extended empirical wavelet transform for accurate multivariate oscillation detection and characterisation in plant-wide industrial control loops 改进型扩展经验小波变换,用于全厂工业控制回路的精确多变量振荡检测和特征描述
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-05-04 DOI: 10.1016/j.jprocont.2024.103226
Wahiba Bounoua, Muhammad Faisal Aftab

The conventional extended empirical wavelet transform (EEWT) proposed recently is intended to decompose multivariate signals with clear peaks in power spectra without considering the cases where the signals contain high noise levels. Even when dealing with signals with distinct peaks, the EEWT method can still encounter challenges in properly decomposing the signals. However, plant-wide data from industrial control loops, including controllers’ outputs, process variables, and manipulated variables, are commonly corrupted by high levels of noise, which can be introduced at various stages of data acquisition, transmission, and processing within the control system. To address these limitations and ensure the applicability of the EEWT to real-world industrial data with diverse and challenging characteristics, this paper presents an improved version called the improved extended empirical wavelet transform (IEEWT). The IEEWT incorporates noise-reduced power spectra and detrended fluctuation analysis techniques to enhance the decomposition. The proposed method demonstrates accurate multivariate data decomposition for both simulated and real data sets, surpassing the limitations associated with the conventional EEWT.

最近提出的传统扩展经验小波变换(EEWT)旨在分解功率谱具有明显峰值的多变量信号,而不考虑信号含有高噪声的情况。即使在处理具有明显峰值的信号时,EEWT 方法在正确分解信号方面仍会遇到挑战。然而,来自工业控制回路的全厂数据(包括控制器输出、过程变量和操纵变量)通常会受到高水平噪声的干扰,这些噪声可能会在控制系统内数据采集、传输和处理的各个阶段引入。为了解决这些局限性,并确保 EEWT 适用于具有各种挑战性特征的实际工业数据,本文提出了一种改进版本,称为改进的扩展经验小波变换 (IEEWT)。IEEWT 融合了降噪功率谱和去趋势波动分析技术,以增强分解效果。所提出的方法对模拟和真实数据集都进行了精确的多变量数据分解,超越了传统 EEWT 的相关限制。
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引用次数: 0
Violation-aware contextual Bayesian optimization for controller performance optimization with unmodeled constraints 针对未建模约束条件下控制器性能优化的违规感知上下文贝叶斯优化法
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-05-02 DOI: 10.1016/j.jprocont.2024.103212
Wenjie Xu , Colin N. Jones , Bratislav Svetozarevic , Christopher R. Laughman , Ankush Chakrabarty

We study the problem of performance optimization of closed-loop control systems with unmodeled dynamics. Bayesian optimization (BO) has been demonstrated to be effective for improving closed-loop performance by automatically tuning controller gains or reference setpoints in a model-free manner. However, BO methods have rarely been tested on dynamical systems with unmodeled constraints and time-varying ambient conditions. In this paper, we propose a violation-aware contextual BO algorithm (VACBO) that optimizes closed-loop performance while simultaneously learning constraint-feasible solutions under time-varying ambient conditions. Unlike classical constrained BO methods which allow unlimited constraint violations, or ‘safe’ BO algorithms that are conservative and try to operate with near-zero violations, we allow budgeted constraint violations to improve constraint learning and accelerate optimization. We demonstrate the effectiveness of our proposed VACBO method for energy minimization of industrial vapor compression systems under time-varying ambient temperature and humidity.

我们研究了未建模动力学闭环控制系统的性能优化问题。事实证明,贝叶斯优化(BO)能以无模型方式自动调整控制器增益或参考设定点,从而有效提高闭环控制性能。然而,贝叶斯优化方法很少在具有未建模约束和时变环境条件的动力系统上进行测试。在本文中,我们提出了一种违规感知上下文 BO 算法(VACBO),它能在优化闭环性能的同时,学习时变环境条件下的约束可行解。与允许无限制违反约束条件的经典约束 BO 方法,或保守并试图以接近零的违反约束条件运行的 "安全 "BO 算法不同,我们允许有预算的违反约束条件,以改进约束学习并加速优化。我们展示了所提出的 VACBO 方法在环境温度和湿度随时间变化的情况下实现工业蒸汽压缩系统能量最小化的有效性。
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引用次数: 0
Dynamic controlled variables based dynamic self-optimizing control 基于动态受控变量的动态自我优化控制
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-05-02 DOI: 10.1016/j.jprocont.2024.103228
Chenchen Zhou , Shaoqi Wang , Hongxin Su , Xinhui Tang , Yi Cao , Shuang-Hua Yang

Self-optimizing control is a strategy for selecting controlled variables, where the economic objective guides the selection and design of controlled variables, with the expectation that maintaining the controlled variables at constant values can achieve optimization effects, translating the process optimization problem into a process control problem. Currently, self-optimizing control is widely applied to steady-state optimization problems. However, the development of process systems exhibits a trend towards refinement, highlighting the importance of optimizing dynamic processes such as batch processes and grade transitions. This paper formally introduces the self-optimizing control problem for dynamic optimization, termed the dynamic self-optimizing control problem, extending the original definition of self-optimizing control. A novel concept, ”dynamic controlled variables” (DCVs), is proposed, and an implicit control policy is presented based on this concept. The paper theoretically analyzes the advantages and generality of DCVs compared to explicit control strategies and elucidates the relationship between DCVs and traditional controllers. Moreover, this paper puts forth a data-driven approach to designing self-optimizing DCVs, which considers DCV design as a mapping identification problem and employs deep neural networks to parameterize the variables. Three case studies validate the efficacy and superiority of DCVs in approximating multi-valued and discontinuous functions, as well as their application to dynamic optimization problems with non-fixed horizons, which traditional self-optimizing control methods are unable to address.

自优化控制是一种选择控制变量的策略,以经济目标指导控制变量的选择和设计,期望将控制变量保持在恒定值,从而达到优化效果,将过程优化问题转化为过程控制问题。目前,自优化控制被广泛应用于稳态优化问题。然而,工艺系统的发展呈现出精细化的趋势,凸显了批量工艺和等级转换等动态工艺优化的重要性。本文扩展了自优化控制的原始定义,正式提出了动态优化的自优化控制问题,称为动态自优化控制问题。本文提出了一个新概念--"动态受控变量"(DCVs),并在此基础上提出了一种隐式控制策略。本文从理论上分析了 DCV 与显式控制策略相比的优势和通用性,并阐明了 DCV 与传统控制器之间的关系。此外,本文还提出了一种数据驱动的自优化 DCV 设计方法,将 DCV 设计视为映射识别问题,并采用深度神经网络对变量进行参数化。三项案例研究验证了 DCV 在逼近多值和不连续函数方面的功效和优越性,以及其在非固定视界动态优化问题上的应用,而传统的自优化控制方法无法解决这些问题。
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引用次数: 0
P3LS: Partial Least Squares under privacy preservation P3LS:隐私保护下的偏最小二乘法
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-05-02 DOI: 10.1016/j.jprocont.2024.103229
Du Nguyen Duy, Ramin Nikzad-Langerodi

Modern manufacturing value chains require intelligent orchestration of processes across company borders in order to maximize profits while fostering social and environmental sustainability. However, the implementation of integrated, systems-level approaches for data-informed decision-making along value chains is currently hampered by privacy concerns associated with cross-organizational data exchange and integration. We here propose Privacy-Preserving Partial Least Squares (P3LS) regression, a novel federated learning technique that enables cross-organizational data integration and process modeling with privacy guarantees. P3LS involves a singular value decomposition (SVD) based PLS algorithm and employs removable, random masks generated by a trusted authority in order to protect the privacy of the data contributed by each data holder. We demonstrate the capability of P3LS to vertically integrate process data along a hypothetical value chain consisting of three parties and to improve the prediction performance on several process-related key performance indicators. Furthermore, we show the numerical equivalence of P3LS and PLS model components on both a synthetic and a real-world dataset and provide a thorough privacy analysis of the former. Moreover, we propose privacy-preserving explained X- and Y-block variance computations for determining the contribution of each data holder to the federated process model as a basis to incentivize data federation and fair profit-sharing.

现代制造业价值链要求对跨公司的流程进行智能协调,以实现利润最大化,同时促进社会和环境的可持续发展。然而,由于跨组织数据交换和整合涉及隐私问题,目前价值链数据知情决策的集成系统级方法的实施受到了阻碍。我们在此提出了隐私保护偏最小二乘法(P3LS)回归,这是一种新型的联合学习技术,可在保证隐私的前提下实现跨组织数据集成和流程建模。P3LS 采用基于奇异值分解(SVD)的 PLS 算法,并使用由可信机构生成的可移动随机掩码,以保护每个数据持有者所提供数据的隐私。我们展示了 P3LS 沿着由三方组成的假定价值链纵向整合流程数据的能力,以及改进若干流程相关关键性能指标预测性能的能力。此外,我们还展示了 P3LS 和 PLS 模型组件在合成数据集和真实数据集上的数值等价性,并对前者进行了全面的隐私分析。此外,我们还提出了保护隐私的 X 和 Y 块解释方差计算方法,用于确定每个数据持有者对联合流程模型的贡献,以此作为激励数据联合和公平利润分享的基础。
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引用次数: 0
ANFIS and Takagi–Sugeno interval observers for fault diagnosis in bioprocess system 用于生物处理系统故障诊断的 ANFIS 和高木-菅野区间观测器
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-27 DOI: 10.1016/j.jprocont.2024.103225
Esvan-Jesús Pérez-Pérez , José-Armando Fragoso-Mandujano , Julio-Alberto Guzmán-Rabasa , Yair González-Baldizón , Sheyla-Karina Flores-Guirao

This paper develops a data-driven approach for incipient fault diagnosis based on ANFIS and Takagi–Sugeno (TS) interval observers. First, the nonlinear bioreactor system is identified using an adaptive neuro-fuzzy inference system (ANFIS), which results in a set of polytopic TS models derived from measurement data. Second, a bank of TS interval observers is deployed to detect sensor and process faults using adaptive thresholds. Unlike other works that require training fault data, only fault-free data is considered for ANFIS learning in this work. Fault insolation is based on residual generation and evaluated on a fault signal matrix (FSM). Parametric uncertainty and measurement noise are considered to guarantee the method’s robustness. The effectiveness of the proposed method is tested on a well-known bioreactor Continuous stirred tank reactor system (CSTR) reference simulator.

本文基于 ANFIS 和高木-菅野(TS)区间观测器,开发了一种数据驱动的初期故障诊断方法。首先,使用自适应神经模糊推理系统(ANFIS)识别非线性生物反应器系统,从而建立一套从测量数据中得出的多拓扑 TS 模型。其次,利用自适应阈值部署一组 TS 间隔观测器来检测传感器和流程故障。与其他需要训练故障数据的工作不同,本工作只考虑 ANFIS 学习的无故障数据。故障隔离基于残差生成,并在故障信号矩阵(FSM)上进行评估。为保证该方法的鲁棒性,考虑了参数不确定性和测量噪声。在著名的生物反应器连续搅拌罐反应器系统(CSTR)参考模拟器上测试了所提方法的有效性。
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引用次数: 0
The chemostat reactor: A stability analysis and model predictive control 恒温反应器:稳定性分析和模型预测控制
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-26 DOI: 10.1016/j.jprocont.2024.103223
Guilherme Ozorio Cassol , Charles Robert Koch , Stevan Dubljevic

This contribution develops the model predictive control for an unstable chemostat reactor. Initially, we analyze the system’s model — a nonlinear first-order hyperbolic partial integro-differential equation (PIDE) — and carry the model linearization around an unstable operating condition. Employing the structure-preserving Cayley–Tustin transformation, we obtain a discrete-time model representation of the continuous model. Subsequently, we solve the operator Ricatti equations in the discrete-time setting to derive a full state feedback controller that stabilizes the closed-loop and design a Luenberger observer for state reconstruction given the system output measures. Finally, we formulate a dual-mode MPC ensuring constraint satisfaction and optimality, integrating the gain-based unconstrained full-state feedback optimal control obtained from the Ricatti equation. This dual-mode strategy describes an optimization problem where the predictive controller acts only if constraints become active within the control horizon. Simulation studies validate the controller performance, where the MPC only takes action if the constraints are predicted to be active within the control horizon while also guaranteeing closed-loop stabilization under only output feedback. This type of controller can be easily implemented with other control strategies and significantly decreases the computational costs of solving the optimal control problems when compared to other MPC approaches.

本论文开发了不稳定恒温反应器的模型预测控制。首先,我们分析了系统模型--非线性一阶双曲偏积分微分方程(PIDE)--并围绕不稳定运行条件进行了模型线性化。利用结构保留的 Cayley-Tustin 变换,我们获得了连续模型的离散时间模型表示。随后,我们求解了离散时间环境下的算子里卡提方程,得出了一个能稳定闭环的全状态反馈控制器,并设计了一个鲁恩伯格观测器,用于根据系统输出测量结果进行状态重建。最后,我们提出了一种双模式 MPC,将从里卡提方程中获得的基于增益的无约束全状态反馈最优控制整合在一起,确保满足约束条件和最优性。这种双模式策略描述了一个优化问题,即只有当约束条件在控制范围内生效时,预测控制器才会起作用。仿真研究验证了控制器的性能,即 MPC 仅在预测约束条件在控制范围内处于活动状态时才采取行动,同时还能保证仅在输出反馈条件下的闭环稳定。与其他 MPC 方法相比,这种控制器可以很容易地与其他控制策略一起实施,并大大降低了求解最优控制问题的计算成本。
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引用次数: 0
Development and identification of a reduced-order dynamic model for wastewater treatment plants 污水处理厂减阶动态模型的开发与鉴定
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-25 DOI: 10.1016/j.jprocont.2024.103211
Teo Protoulis , Haralambos Sarimveis , Alex Alexandridis

Wastewater treatment plants (WWTPs) employ a series of complex chemical and biological processes, to transform an influent stream of contaminated water to an effluent suitable for return to the water cycle. To optimize the performance of WWTP control schemes, appropriate mathematical models capable of accurately simulating the plant dynamic behavior are essential. However, the development of reliable dynamic representations for these large-scale plants is challenging, mainly because of the complex biological reactions taking place and the significant fluctuations in the disturbances that affect the operation of WWTPs. First-principles models, such as the well-known benchmark simulation model no. 1 (BSM1), may be capable of capturing the highly nonlinear nature of WWTPs, but this comes at the cost of employing complex, high-order representations of the reactive units and settling processes. This complexity leads to highly complicated configurations that cannot be efficiently integrated in advanced process control schemes, like model predictive controllers (MPCs). Furthermore, the large number of unknown parameters in these models, along with the non-convex nature of the underlying functions, renders the use of conventional system identification techniques insufficient. To remedy these issues, in this work we introduce a reduced-order first-principles model for WWTPs, incorporating low order mathematical models for the chemical phenomena of the reactive units and the settling procedure. Furthermore, we present a novel system identification scheme, which is based on a customized cooperative particle swarm optimization approach; the scheme effectively handles the high-dimensionality and multimodality of the underlying nonlinear optimization problem, enabling accurate estimation of the model parameters. Comparison results between the dynamic behavior of the original BSM1 and the identified reduced-order model, indicate that the proposed approach is capable of accurately and robustly capturing the highly nonlinear nature of WWTPs, while being simple enough for incorporation in the design of MPC and other advanced control schemes. This represents a significant advancement over traditional models, offering a more practical and efficient approach for WWTP management and control.

污水处理厂(WWTPs)采用一系列复杂的化学和生物过程,将受污染的进水流转化为适合返回水循环的出水。为了优化污水处理厂控制方案的性能,必须建立能够准确模拟污水处理厂动态行为的适当数学模型。然而,为这些大型污水处理厂建立可靠的动态模型却具有挑战性,这主要是因为正在发生的生物反应十分复杂,而且影响污水处理厂运行的干扰因素波动很大。第一原理模型,如著名的基准模拟模型 No.1 (BSM1)等第一原理模型可能能够捕捉到污水处理厂的高度非线性特性,但其代价是要对反应单元和沉淀过程采用复杂的高阶表示法。这种复杂性导致高度复杂的配置无法有效地集成到先进的过程控制方案中,如模型预测控制器(MPC)。此外,这些模型中的大量未知参数以及基础函数的非凸性质,使得传统的系统识别技术无法充分发挥作用。为了解决这些问题,我们在本研究中引入了一种用于污水处理厂的简化一阶原理模型,其中包含反应单元化学现象和沉淀过程的低阶数学模型。此外,我们还提出了一种基于定制合作粒子群优化方法的新型系统识别方案;该方案可有效处理底层非线性优化问题的高维性和多模态性,从而实现对模型参数的精确估算。原始 BSM1 的动态行为与确定的降阶模型之间的比较结果表明,所提出的方法能够准确、稳健地捕捉污水处理厂的高度非线性特性,同时又足够简单,可用于 MPC 和其他高级控制方案的设计。这是对传统模型的重大改进,为污水处理厂的管理和控制提供了一种更实用、更高效的方法。
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引用次数: 0
Virtual unmodeled dynamic and data-driven nonlinear robust predictive control 虚拟非建模动态和数据驱动非线性鲁棒预测控制
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-22 DOI: 10.1016/j.jprocont.2024.103222
Bo Peng , Huiyuan Shi , Ping Li , Chengli Su

This study presents a novel approach for controlling an industrial process that exhibits uncertainty and significant nonlinear features. The proposed method utilizes a virtual unmodeled dynamic and data-driven nonlinear robust predictive control strategy. The representation of a controlled object involves a composite state space model that combines both linear and high-order nonlinear elements. Moreover, a robust model predictive controller is developed using the linear component. In addition, the notion of one-step optimal feedforward is used in combination with a compensating controller to handle the high-order nonlinear factor specifically. Subsequently, a compensation controller with incremental characteristics is developed for a modified version of the high-order nonlinear term. Furthermore, the stability conditions of the closed-loop system are derived, and an analysis is conducted on the stability and convergence of the proposed approach. The TTS20 three-capacity water tank was utilized in both simulations and practical scenarios. The study demonstrated that the suggested approach successfully reduces system output variations and enhances overall performance in response to unpredictable changes in the process’s dynamic features.

本研究提出了一种控制具有不确定性和显著非线性特征的工业流程的新方法。所提出的方法采用了虚拟非建模动态和数据驱动的非线性鲁棒预测控制策略。受控对象的表示涉及一个复合状态空间模型,该模型结合了线性和高阶非线性元素。此外,还利用线性部分开发了鲁棒模型预测控制器。此外,一步最佳前馈概念与补偿控制器相结合,专门用于处理高阶非线性因素。随后,针对改进版的高阶非线性项,开发了具有增量特性的补偿控制器。此外,还得出了闭环系统的稳定性条件,并对所提方法的稳定性和收敛性进行了分析。在模拟和实际场景中都使用了 TTS20 三容量水箱。研究结果表明,所建议的方法成功地减少了系统输出变化,并提高了整体性能,以应对过程动态特征的不可预测变化。
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引用次数: 0
PKG-DTSFLN: Process Knowledge-guided Deep Temporal–spatial Feature Learning Network for anode effects identification PKG-DTSFLN:用于阳极效应识别的过程知识指导的深度时空特征学习网络
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-04-19 DOI: 10.1016/j.jprocont.2024.103221
Weichao Yue , Jianing Chai , Xiaoxue Wan , Yongfang Xie , Xiaofang Chen , Weihua Gui

In the aluminum electrolysis process, the accurate identification of anode effect (AE) can improve production efficiency. However, the existing methods fail to effectively capture the features of the anode current signal (ACS) due to its complex dynamic characteristics and temporal–spatial dependence. To address this issue, we propose a Process Knowledge-guided Deep Temporal–spatial Feature Learning Network (PKG-DTSFLN). We believe that knowledge and production data are complementary. Knowledge has potential to deduce beyond observational conditions. Data can be used to detect unexpected patterns. The combination of data and knowledge is potential to improve the performance. Specifically, knowledge is utilized to construct the adjacency matrix to represent the spatial structure of ACS. Then, a deep learning model is constructed by integrating the 1D-CNN and GAT, which is used to capture the temporal–spatial features of ACS. The experimental results on ACS dataset show that the accuracy is more than 99% with low computational cost.

在铝电解过程中,准确识别阳极效应(AE)可以提高生产效率。然而,由于阳极电流信号(ACS)具有复杂的动态特性和时空依赖性,现有方法无法有效捕捉其特征。为解决这一问题,我们提出了过程知识引导的深度时空特征学习网络(PKG-DTSFLN)。我们认为,知识和生产数据是相辅相成的。知识具有超越观察条件的推断潜力。数据可用于检测意想不到的模式。数据和知识的结合有可能提高性能。具体来说,利用知识来构建邻接矩阵,以表示 ACS 的空间结构。然后,通过整合 1D-CNN 和 GAT,构建一个深度学习模型,用于捕捉 ACS 的时空特征。在 ACS 数据集上的实验结果表明,其准确率超过 99%,且计算成本较低。
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引用次数: 0
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Journal of Process Control
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