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A stochastic approach for the solution of single and multi–objective optimisation problems of biological processes in sequencing batch reactor 解决序批式反应器中生物过程的单目标和多目标优化问题的随机方法
IF 3.3 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-20 DOI: 10.1016/j.jprocont.2024.103266
Tomasz Ujazdowski, Robert Piotrowski, Michał Banach

This paper investigates the impact of implementing single and multi-optimisation solutions on the biological treatment process in a sequencing batch reactor (SBR). The research is based on a case study of the water resource recovery facility (WRRF) in Swarzewo, Northern Poland. The paper introduces the adaptive extremum seeking control (ESC) method for dissolved oxygen (DO) concentration control and places it in a layered control structure. Further, it presents the introduction of an optimisation layer for the structure and parameters of the SBR cycle, through the synthesis of stochastic methods: single-objective optimisation (SOO) using a genetic algorithm (GA) and multi-objective optimisation (MOO) using the NSGA-II algorithm. The results were compared to a classical approach with fixed cycle parameters. The paper shows the advantages of optimising cycle parameters, including the number of phases as well as the DO value, on the process flow. These control structures underwent simulation tests in the MATLAB environment with the Simba package. The biochemical processes occurring in the reactor are based on the Activated Sludge Model No. 2d (ASM2d). The optimising control system demonstrates tangible improvements in operational efficiency and significant reductions in electrical energy consumption, highlighting the effectiveness of the proposed methodologies. © 2017 Elsevier Inc. All rights reserved.

本文研究了在序批式反应器(SBR)中实施单一和多重优化方案对生物处理过程的影响。研究以波兰北部斯瓦泽沃的水资源回收设施(WRRF)为案例。论文介绍了用于溶解氧(DO)浓度控制的自适应极值寻求控制(ESC)方法,并将其置于分层控制结构中。此外,论文还介绍了通过综合使用随机方法,为 SBR 循环的结构和参数引入优化层:使用遗传算法 (GA) 的单目标优化 (SOO) 和使用 NSGA-II 算法的多目标优化 (MOO)。结果与采用固定循环参数的传统方法进行了比较。论文显示了优化周期参数(包括阶段数和 DO 值)对工艺流程的优势。这些控制结构在 MATLAB 环境中使用 Simba 软件包进行了模拟测试。反应器中的生化过程基于活性污泥模型 2d (ASM2d)。优化控制系统切实提高了运行效率,大幅降低了电能消耗,凸显了建议方法的有效性。© 2017 Elsevier Inc.保留所有权利。
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引用次数: 0
A novel interactive prognosis framework with nonlinear Wiener process and multi-sensor fusion for remaining useful life prediction 利用非线性维纳过程和多传感器融合预测剩余使用寿命的新型互动预报框架
IF 3.3 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-20 DOI: 10.1016/j.jprocont.2024.103264
Wenyi Lin , Xiaolong Chen , Haoran Lu , Yutao Jiang , Linchuan Fan , Yi Chai

Accurate remaining useful life (RUL) prediction plays a vital role in increasing the system operation safety and reducing maintenance costs. In industrial applications, there is usually a large amount of multi-sensor data generated. Therefore, how to construct an appropriate health index (HI) based on multi-sensor signals is very important for the RUL prediction. However, existing works treat sensor selection, HI construction, and degradation modeling independently as unrelated parts, which may result in the combination of sensors selected not constituting an optimal HI or the constructed HI not matching the degradation model. In addition, most existing works treat prior units as a whole to obtain a unique set of sensor combinations and fusion coefficients, which cannot reflect unit-to-unit heterogeneity, thus affecting the accuracy of RUL prediction. Therefore, a novel interactive feedback framework is established to construct HI, where the sensor selection, fusion coefficient calculation, and nonlinear Wiener process degradation modeling are incorporated into the feedback. Furthermore, an adaptive weight selection method based on particle swarm optimization and leave-one-out cross-validation (PSO-LV) is proposed to adjust the fusion coefficients in real-time. Then, the RUL is estimated by updating model parameters online, detecting degradation trends, and deriving the probability density function (PDF) of the RUL. Finally, two examples of engine datasets are provided to verify the effectiveness of the proposed method.

准确的剩余使用寿命(RUL)预测在提高系统运行安全性和降低维护成本方面起着至关重要的作用。在工业应用中,通常会产生大量的多传感器数据。因此,如何基于多传感器信号构建合适的健康指数(HI)对于剩余使用寿命预测非常重要。然而,现有研究将传感器选择、健康指数构建和退化建模作为互不相关的部分独立处理,这可能导致所选传感器组合无法构成最佳健康指数,或构建的健康指数与退化模型不匹配。此外,大多数现有研究将先验单元视为一个整体,以获得一组唯一的传感器组合和融合系数,这无法反映单元与单元之间的异质性,从而影响 RUL 预测的准确性。因此,本文建立了一个新颖的交互式反馈框架来构建 HI,将传感器选择、融合系数计算和非线性维纳过程退化建模纳入反馈中。此外,还提出了一种基于粒子群优化和留空交叉验证(PSO-LV)的自适应权重选择方法,用于实时调整融合系数。然后,通过在线更新模型参数、检测退化趋势和推导 RUL 的概率密度函数 (PDF) 来估计 RUL。最后,提供了两个发动机数据集示例来验证所提方法的有效性。
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引用次数: 0
Finite-time stabilization output-feedback control of Schrödinger’s equation 薛定谔方程的有限时间稳定输出反馈控制
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-19 DOI: 10.1016/j.jprocont.2024.103258
Ruicheng Li, Feng-Fei Jin

In this paper, our objective is to achieve finite-time stabilization of Schrödinger’s equation using the method of switching observer functions. We propose a finite-time observer that matches the gain of the two switching functions. Subsequently, we use the backstepping to design a finite-time, output-feedback controller. Then, the finite-time stability of the resulting closed-loop system is proved. Finally, some numerical examples are given using the finite-element method. We see that the proposed controller is effective. The contribution of this paper is to extend the method of introducing the switching observer gain from the parabolic equation to achieve finite-time stabilization of Schrödinger’s equation. The open-loop system of the model we study is conservative. This helps to promote the development of control and stability theory, and provides new ideas and methods for applications in other fields.

在本文中,我们的目标是利用切换观测器函数的方法实现薛定谔方程的有限时间稳定。我们提出了一种能匹配两个开关函数增益的有限时间观测器。随后,我们利用反步法设计了一个有限时间输出反馈控制器。然后,证明了由此产生的闭环系统的有限时间稳定性。最后,使用有限元法给出了一些数值示例。我们看到,所提出的控制器是有效的。本文的贡献在于扩展了抛物线方程中引入开关观测器增益的方法,以实现薛定谔方程的有限时间稳定。我们所研究模型的开环系统是保守的。这有助于推动控制和稳定理论的发展,并为其他领域的应用提供新的思路和方法。
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引用次数: 0
Monitoring the operating state of crystal growth process based on digital twin model 基于数字孪生模型监控晶体生长过程的运行状态
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-19 DOI: 10.1016/j.jprocont.2024.103261
Yu-Yu Liu , Ling-Xia Mu , Ding Liu

The reliable assessment of the operational status during the silicon single crystal growth process is a prerequisite for ensuring system safety and improving crystal quality. However, in the actual silicon single crystal growth process, due to limitations in manpower, material resources, financial resources, and current technical methods, the establishment of monitoring models is still in its infancy. To address this issue, this paper proposes a hybrid deep belief network (HDBN) algorithm aided by the digital twin (DT) model to achieve real-time monitoring of equipment operational status. Firstly, this study constructs the DT model based on the basic principles of crystal growth, mainly to achieve high-precision simulation of the actual silicon single crystal growth process and generate abnormal data for the equipment. This operation can expand the sample set, enhance the diversity and coverage of data, and effectively solve the problem of insufficient sample size. Secondly, this study uses the variational mode decomposition (VMD) algorithm to decompose the dataset composed of obtained abnormal and normal data, and constructs sub-deep belief network (DBN) for the decomposed subsequences to capture deep feature information at different frequencies of the data. Subsequently, based on the concept of ensemble learning, the outputs of each sub-DBN network are used as inputs to construct the overall DBN network, achieving monitoring of the equipment operational status. Through the combination of VMD decomposition and DBN networks, this algorithm can better capture the frequency characteristics and time-domain features of the signal, enhancing monitoring accuracy. Experimental results show that this algorithm can accurately identify abnormal equipment states, effectively improve monitoring performance, and is of significant importance for the optimization and control of the semiconductor-grade silicon single crystal growth process, contributing to increased production efficiency and product quality.

对硅单晶生长过程中的运行状态进行可靠评估,是确保系统安全和提高晶体质量的前提。然而,在实际的硅单晶生长过程中,由于人力、物力、财力以及现有技术手段的限制,监测模型的建立仍处于起步阶段。针对这一问题,本文提出了一种以数字孪生(DT)模型为辅助的混合深度信念网络(HDBN)算法,以实现对设备运行状态的实时监控。首先,本研究基于晶体生长的基本原理构建了 DT 模型,主要实现对实际硅单晶生长过程的高精度模拟,并生成设备的异常数据。这一操作可以扩大样本集,增强数据的多样性和覆盖面,有效解决样本量不足的问题。其次,本研究利用变异模态分解(VMD)算法对获取的异常数据和正常数据组成的数据集进行分解,并对分解后的子序列构建子深度信念网络(DBN),以捕捉数据不同频率的深度特征信息。随后,基于集合学习的概念,将各子 DBN 网络的输出作为输入,构建整体 DBN 网络,实现对设备运行状态的监测。通过 VMD 分解与 DBN 网络的结合,该算法能更好地捕捉信号的频率特性和时域特征,提高监测精度。实验结果表明,该算法能准确识别设备异常状态,有效提高监测性能,对半导体级硅单晶生长过程的优化和控制具有重要意义,有助于提高生产效率和产品质量。
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引用次数: 0
An adaptive control system based on spatial–temporal graph convolutional and disentangled baseline-volatility prediction of bellows temperature for iron ore sintering process 基于时空图卷积和分解基线-波动预测的铁矿石烧结过程风箱温度自适应控制系统
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-18 DOI: 10.1016/j.jprocont.2024.103254
Zhengwei Chi, Xiaoxia Chen, Hanzhong Xia, Chengshuo Liu, Zhen Wang

The temperature within the sintering furnace is a decisive factor influencing the quality of the sintered ore in the iron ore sintering process. In practical operations, the temperature at the bellows directly linked to the bed layer indirectly signifies the internal furnace temperature. Maintaining a stable temperature at the bellows, particularly at the burn-through point, is vital for minimizing gas emissions, improving carbon efficiency, and enhancing the quality of the sintered ore. This paper proposes an intelligent temperature control system based on Spatial–Temporal Graph Convolutional and Disentangled Baseline-Volatility (STGCDBV) prediction. The STGCDBV network comprises three parallel modules: Adaptive Graph Convolution Network (AGCN), Baseline and Volatility Disentangler (BVD), and a residual link, along with a Temporal–Nodal Encoder–Decoder (TNED) module. The AGCN constructs a graph reflecting the characteristics of bellows temperature, effectively merging static spatial data with dynamic thermal information. The BVD module captures the nonlinear trend data inherent in the sintering process. In contrast, the TNED synergizes the insights from the parallel modules using cross encoding and decoding functionalities. For controlling the sintering gas flow rate, a Model Reference Adaptive Control (MRAC) system is implemented, which utilizes a control scheme founded on a temperature reference model and iterative parameter adjustments. Extensive experiments using actual time-series data from a steel plant have been conducted. Moreover, comparisons between the performance of pre- and post-control interventions demonstrate that the STGCDBV-MRAC system can stabilize temperature fluctuations and exhibit exemplary control proficiency.

在铁矿石烧结工艺中,烧结炉内的温度是影响烧结矿质量的决定性因素。在实际操作中,与床层直接相连的风箱温度间接反映了炉内温度。保持波纹管温度稳定,尤其是烧穿点温度稳定,对于减少气体排放、提高碳效率和提高烧结矿质量至关重要。本文提出了一种基于空间-时间图卷积和分离基线-波动率(STGCDBV)预测的智能温度控制系统。STGCDBV 网络由三个并行模块组成:自适应图卷积网络(AGCN)、基线与波动解缠器(BVD)、残差链路以及时序节点编码器-解码器(TNED)模块。AGCN 构建了一个反映波纹管温度特征的图形,有效地将静态空间数据与动态热信息融合在一起。BVD 模块捕捉烧结过程中固有的非线性趋势数据。相比之下,TNED 利用交叉编码和解码功能将并行模块的洞察力协同起来。为控制烧结气体流量,采用了模型参考自适应控制(MRAC)系统,该系统利用基于温度参考模型和迭代参数调整的控制方案。利用一家钢铁厂的实际时间序列数据进行了大量实验。此外,控制前和控制后干预的性能比较表明,STGCDBV-MRAC 系统可以稳定温度波动,并表现出出色的控制能力。
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引用次数: 0
Manifold embedding stationary subspace analysis for nonstationary process monitoring with industrial applications 面向工业应用的非稳态过程监控的流形嵌入静态子空间分析
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-18 DOI: 10.1016/j.jprocont.2024.103262
Chunhua Yang , Zhihong Lin , Keke Huang , Dehao Wu , Weihua Gui

Industrial processes frequently exhibit nonstationary characteristics due to factors like load fluctuations and external interference. Accurate monitoring of nonstationary industrial processes is of vital importance in ensuring production stability and safety. Unfortunately, most existing monitoring methods overlook the manifold structure presented in nonstationary data due to nonstationary features, causing the loss of critical information and poor interpretability. As a consequence, monitoring performance is compromised. To address this issue, this paper proposes a manifold embedding stationary subspace analysis (MESSA) algorithm. By embedding a neighborhood preservation term into the objective function of SSA, MESSA effectively mitigates the impact of nonstationarity on manifold structure. The extracted features incorporate both global stationarity and local manifold characteristics, facilitating a more comprehensive reconstruction of the intricate underlying mechanisms in industrial processes. This contributes to a substantial enhancement in the accuracy and reliability of process monitoring. A set of nonstationary swiss-roll dataset is designed to visually demonstrate the capability of MESSA in extracting manifold structure. Case studies including a numerical case, a continuous stirred tank reactor system and a real industrial roasting process validate the superior monitoring performance of the proposed method.

由于负载波动和外部干扰等因素,工业流程经常表现出非稳态特性。准确监控非稳态工业过程对于确保生产稳定性和安全性至关重要。遗憾的是,现有的大多数监测方法都忽略了非稳态数据中由于非稳态特征而呈现的多方面结构,导致关键信息丢失,可解释性差。因此,监测性能大打折扣。针对这一问题,本文提出了一种流形嵌入静态子空间分析(MESSA)算法。通过在 SSA 的目标函数中嵌入邻域保护项,MESSA 有效地减轻了非静止性对流形结构的影响。提取的特征既包括全局静止性,也包括局部流形特征,有助于更全面地重建工业流程中错综复杂的内在机制。这有助于大大提高过程监控的准确性和可靠性。为了直观地展示 MESSA 在提取流形结构方面的能力,我们设计了一组非稳态swiss-roll 数据集。包括一个数值案例、一个连续搅拌罐反应器系统和一个实际工业焙烧过程在内的案例研究验证了所提方法的卓越监测性能。
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引用次数: 0
Modified active disturbance rejection control based on gain scheduling for circulating fluidized bed units 基于增益调度的循环流化床装置改进型主动干扰抑制控制
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-06-14 DOI: 10.1016/j.jprocont.2024.103253
Zhenlong Wu , Donghai Li , Yanhong Liu , YangQuan Chen

Circulating fluidized bed (CFB) units are extensively operated in China due to their wide fuel adaptability, low emissions and high combustion efficiency. Nevertheless, CFB units are facing many control challenges due to their strong nonlinearity and large lag characteristics. To handle these control challenges, a modified active disturbance rejection control based on gain scheduling is structured in this paper. Firstly, a decentralized active disturbance rejection control strategy based on gain scheduling is designed by analyzing control difficulties of CFB units. Then, the parameter tuning and scheduling methods are provided, and the convergence of the extended state observer during the scheduling process is derived theoretically. The advantages of the proposed method in tracking performance, disturbance rejection performance, and ability to reject fuel quality fluctuation and uncertain heat transfer coefficients are illustrated by comparative simulations. Finally, the proposed control strategy is practically applied to the main steam pressure system of a 300 MW CFB unit. Running data demonstrate that it has a faster tracking performance and better disturbance rejection ability in [50100]% of the rated load, where the hourly average integral absolute error index has decreased obviously, and it shows a good field application prospect.

循环流化床(CFB)机组具有燃料适应性广、排放低、燃烧效率高等特点,在中国得到广泛应用。然而,由于其较强的非线性和较大的滞后特性,CFB 机组面临着许多控制挑战。为了应对这些控制挑战,本文构建了一种基于增益调度的改进型主动扰动抑制控制。首先,通过分析 CFB 机组的控制难点,设计了基于增益调度的分散式主动干扰抑制控制策略。然后,提供了参数调整和调度方法,并从理论上推导了扩展状态观测器在调度过程中的收敛性。通过对比仿真,说明了所提方法在跟踪性能、干扰抑制性能以及抑制燃料质量波动和不确定传热系数能力方面的优势。最后,将提出的控制策略实际应用于 300 MW CFB 机组的主蒸汽压力系统。运行数据表明,在额定负荷的[50∼100]%范围内,该控制策略具有更快的跟踪性能和更好的扰动抑制能力,小时平均积分绝对误差指数明显下降,具有良好的现场应用前景。
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引用次数: 0
Semi-decentralized temperature control in district heating systems 区域供热系统中的半集中式温度控制
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-14 DOI: 10.1016/j.jprocont.2024.103251
Johan Simonsson , Khalid Tourkey Atta , Wolfgang Birk

The supply temperature in district heating systems has traditionally been controlled using feedforward – a robust and well-validated approach for district heating networks with few producers and relatively high supply temperatures. The transition towards lower temperature district heating networks allows for efficient reuse of excess heat from, e.g., industrial processes and data centers. Excess heat is often intermittent, cannot always be assumed to be possible to control with a centralized controller, and can cause temperature disturbances in the grid. Closing the loop using PID control is challenging due to the process’s time-varying nature and long time delays. Model Predictive Control (MPC) suffers from a higher complexity, long computational times, and the need for a well-validated and maintained centralized model. The paper suggests a semi-decentralized approach using the Smith predictor with an event-driven assignment of active controllers and sensors. A reduced order model based on a more comprehensive state space model is derived and used for gain scheduling and input–output pairing using the normalized relative gain array. The focus is on temperature disturbance rejection, and appropriate tuning rules and controller structures are suggested. Simulation results show that the proposed control structure can handle various types of temperature disturbances, even in the presence of model estimation errors.

传统上,区域供热系统的供热温度是通过前馈控制的,对于生产商较少、供热温度相对较高的区域供热网络来说,这是一种稳健且经过验证的方法。向温度较低的区域供热网络过渡,可有效再利用工业流程和数据中心等产生的多余热量。过剩热量通常是间歇性的,不能总是认为可以通过集中控制器进行控制,而且可能会对电网造成温度干扰。由于过程的时变性和较长的时间延迟,使用 PID 控制来闭环具有挑战性。模型预测控制 (MPC) 的缺点是复杂性较高、计算时间较长,而且需要一个经过充分验证和维护的集中模型。本文提出了一种半分散的方法,即使用史密斯预测器,以事件驱动的方式分配主动控制器和传感器。在一个更全面的状态空间模型的基础上,推导出一个减阶模型,并使用归一化相对增益阵列进行增益调度和输入输出配对。重点是温度干扰抑制,并提出了适当的调整规则和控制器结构。仿真结果表明,即使存在模型估计误差,所提出的控制结构也能处理各种类型的温度干扰。
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引用次数: 0
Spatiotemporal-response-correlation-based model predictive control of heat conduction temperature field 基于时空响应相关性的热传导温度场模型预测控制
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-13 DOI: 10.1016/j.jprocont.2024.103257
Guangjun Wang , Zehong Chen , Hong Chen , Zhaohui Mao

In many engineering fields, controlling the transient temperature field of the heat conduction process is significant practically. For the temperature field control problem, a spatiotemporal-response-correlation-based model predictive control (STRC-MPC) method is developed. In this method, a spatiotemporal mapping eigenvector of control inputs to temperature field is determined by transient heat conduction equations. According to the correlation degree between the temporal mapping eigenvectors of different spatial points, a finite number of representative spatial points (RPs) are extracted, of which can cover the full mapping characteristic of the temperature field. Meanwhile, the predictive model of the temperature field is reduced offline to temperature predictive models of the RPs. Then, the predictive models of the RPs are applied to design a model predictive controller of the temperature field. In addition, a correlation formulation between the temperature responses of the RPs and that of the measurement points (MPs) is derived by making the control inputs as intermediate variable, and a correlation model between the predictive errors of the two kinds of points is established. Combining the correlation model and the predictive errors of the MPs, the predictive errors at the RPs are estimated and the feedback correction of the predictive model of the RPs is achieved. The STRC-MPC method is employed to control the preheating temperature field of a die casting mold by numerical simulations. The model predictive controller and the feedback correction scheme involved in the proposed control method are verified respectively.

在许多工程领域,控制热传导过程的瞬态温度场具有重要的实际意义。针对温度场控制问题,开发了一种基于时空响应相关性的模型预测控制(STRC-MPC)方法。该方法通过瞬态热传导方程确定控制输入到温度场的时空映射特征向量。根据不同空间点的时空映射特征向量之间的相关程度,提取出一定数量的代表性空间点(RPs),这些空间点能够覆盖温度场的全部映射特征。同时,将温度场的预测模型离线还原为 RP 的温度预测模型。然后,应用 RP 的预测模型设计温度场的模型预测控制器。此外,通过将控制输入作为中间变量,得出 RP 的温度响应与测量点(MP)的温度响应之间的相关公式,并建立两种点的预测误差之间的相关模型。结合相关模型和 MP 点的预测误差,估算出 RP 点的预测误差,实现对 RP 点预测模型的反馈修正。通过数值模拟,采用 STRC-MPC 方法控制压铸模具的预热温度场。分别验证了所提控制方法中涉及的模型预测控制器和反馈修正方案。
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引用次数: 0
Iterative learning robust MPC hybrid fault-tolerant control for multi-phase batch processes with asynchronous switching 针对异步切换的多阶段批处理过程的迭代学习鲁棒 MPC 混合容错控制
IF 4.2 2区 计算机科学 Q1 Mathematics Pub Date : 2024-06-11 DOI: 10.1016/j.jprocont.2024.103250
Huiyuan Shi , Qianlin Yan , Hui Li , Jia Wu , Chengli Su , Ping Li

It is widely known that uncertainties, unknown disturbances, asynchronous switching, and partial actuator faults are the major factors that affect system stability during actual industrial production. For the above problems, a method of iterative learning robust MPC hybrid fault-tolerant control for multi-phase batch processes with asynchronous switching in two-dimensional systems is proposed. Exceptionally, an equivalent extended asynchronous switching fault-tolerant control model, including a synchronous sub-model and an asynchronous sub-model, is built. Then, Lyapunov theory, switching system theory, and so on are used as the theoretical basis, and the sufficient conditions to guarantee the stable operation of the system are given. Combined with the given conditions, the control law gain, the shortest running time, and the longest running time are solved in real time to eliminate the asynchronous switching situation problem. The state deviations of the system are corrected in time by avoiding the accumulation of the system state deviations over time, thus improving the control performance of the system. Meanwhile, by combining real-time control law gains with information about the batch direction, the method can significantly reduce the learning period of the controller and provide better control performance along the batch direction. Finally, the feasibility of the proposed method is verified with simulation experiments of the injection molding process.

众所周知,在实际工业生产过程中,不确定性、未知干扰、异步切换和部分执行器故障是影响系统稳定性的主要因素。针对上述问题,本文提出了一种针对二维系统中具有异步切换的多阶段批处理过程的迭代学习鲁棒 MPC 混合容错控制方法。特别地,建立了一个等效的扩展异步切换容错控制模型,包括同步子模型和异步子模型。然后,以李亚普诺夫理论、开关系统理论等为理论基础,给出了保证系统稳定运行的充分条件。结合给定条件,实时求解控制律增益、最短运行时间和最长运行时间,消除异步切换情况问题。通过避免系统状态偏差的长期累积,及时修正系统的状态偏差,从而提高系统的控制性能。同时,通过将实时控制法则增益与批量方向信息相结合,该方法可以大大缩短控制器的学习周期,并沿批量方向提供更好的控制性能。最后,通过注塑成型过程的模拟实验验证了所提方法的可行性。
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引用次数: 0
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Journal of Process Control
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