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Safe, visualizable reinforcement learning for process control with a warm-started actor network based on PI-control 利用基于 PI 控制的暖启动行为网络,为过程控制提供安全、可视化的强化学习
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-11-16 DOI: 10.1016/j.jprocont.2024.103340
Edward H. Bras, Tobias M. Louw, Steven M. Bradshaw
The adoption of reinforcement learning (RL) in chemical process industries is currently hindered by the use of black-box models that cannot be easily visualized or interpreted as well as the challenge of balancing safe control with exploration. Clearly illustrating the similarities between classical control- and RL theory, as well as demonstrating the possibility of maintaining process safety under RL-based control, will go a long way towards bridging the gap between academic research and industry practice. In this work, a simple approach to the dynamic online adaptation of a non-linear control policy initialised using PI control through RL is introduced. The familiar PI controller is represented as a plane in the state-action space, where the states comprise the error and integral error, and the action is the control input. The plane was recreated using a neural network and this recreated plane served as a readily visualizable initial “warm-started” policy for the RL agent. The actor-critic algorithm was applied to adapt the policy non-linearly during interaction with the controlled process, thereby leveraging the flexibility of the neural network to improve performance. Inherently safe control during training is ensured by introducing a soft active region component in the actor neural network. Finally, the use of cold connections is proposed whereby the state space can be augmented at any stage of training (e.g., through the incorporation of measurements to facilitate feedforward control) while fully preserving the agent’s training progress to date. By ensuring controller safety, the proposed methods are applicable to the dynamic adaptation of any process where stable PI control is feasible at nominal initial conditions.
强化学习(RL)目前在化工流程工业中的应用受到以下因素的阻碍:黑盒模型的使用不便于可视化或解释,以及在安全控制与探索之间取得平衡所面临的挑战。清楚地说明经典控制理论与 RL 理论之间的相似性,并证明在基于 RL 的控制下保持过程安全的可能性,将大大有助于缩小学术研究与行业实践之间的差距。在这项工作中,介绍了一种通过 RL 对使用 PI 控制初始化的非线性控制策略进行动态在线调整的简单方法。我们熟悉的 PI 控制器被表示为状态-动作空间中的一个平面,其中状态包括误差和积分误差,而动作则是控制输入。使用神经网络重新创建了该平面,并将该重新创建的平面作为 RL 代理可视化的初始 "热启动 "策略。在与受控过程交互的过程中,采用行为批判算法对策略进行非线性调整,从而利用神经网络的灵活性提高性能。通过在行动者神经网络中引入软活动区域组件,确保了训练期间的固有安全控制。最后,还提出了使用冷连接的方法,这样就可以在训练的任何阶段对状态空间进行扩展(例如,通过纳入测量数据来促进前馈控制),同时完全保留代理到目前为止的训练进度。通过确保控制器的安全性,所提出的方法适用于在标称初始条件下可进行稳定 PI 控制的任何过程的动态适应。
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引用次数: 0
A unified GPR model based on transfer learning for SOH prediction of lithium-ion batteries 基于迁移学习的统一 GPR 模型用于锂离子电池的 SOH 预测
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-11-16 DOI: 10.1016/j.jprocont.2024.103337
Li Cai
State of health (SOH) acts as a qualitative capability measure in lithium-ion batteries’ management systems. Accurate SOH prediction is a critical issue for lithium-ion batteries. Most existing techniques always extract features from the tested batteries’ historical charging/discharging curves to achieve SOH prediction. However, the charging or discharging curves may be incomplete in the real-world application. Also, it is necessary to provide effective and dependable SOH predictions for both one-step-ahead and multi-step-ahead scenarios simultaneously, catering to diverse requirements. In order to achieve a unified SOH prediction without a prediction lag, a Gaussian process regression (GPR) model based on transfer learning is proposed. In this article, a non-zero mean function along with a compound covariance function are designed to describe the capacity attenuation. The hyper-parameter set of this model can be transferred and pre-determined from some readily available batteries in the same processes. The proposed method is verified on several batteries from NASA dataset. Results illustrate that our approach with both superior prediction performance and stronger robustness outperforms the counterparts.
健康状态(SOH)是锂离子电池管理系统中的一种定性能力衡量标准。准确预测 SOH 是锂离子电池的关键问题。大多数现有技术都是从被测电池的历史充电/放电曲线中提取特征来实现 SOH 预测。然而,在实际应用中,充电或放电曲线可能并不完整。此外,有必要同时为一步提前和多步提前场景提供有效、可靠的 SOH 预测,以满足不同的要求。为了实现无预测滞后的统一 SOH 预测,本文提出了一种基于迁移学习的高斯过程回归(GPR)模型。本文设计了一个非零均值函数和一个复合协方差函数来描述容量衰减。该模型的超参数集可以从相同流程中的一些现成电池中转移和预设。我们在 NASA 数据集中的几个电池上验证了所提出的方法。结果表明,我们的方法在预测性能和鲁棒性方面都优于同行。
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引用次数: 0
Control of Production-Inventory systems of perennial crop seeds 控制多年生作物种子的生产-库存系统
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-11-10 DOI: 10.1016/j.jprocont.2024.103330
Robbert van der Kruk , René van de Molengraft , Herman Bruyninckx , Eldert J. van Henten
Production planning and inventory control are essential for the logistic performance of breeding companies. In this paper, we discuss such a system for perennial crop seeds in which production during multiple years and a number of growth cycles before production starts are characteristic. Large variations in yield and demand are typical and could easily lead to shortages or excess in seed stock. Both are costly phenomena. For these reasons, production planning as currently done by seed breeders without much technical support is extremely challenging. This paper describes and models the seed production process of a breeding company and examines its impact on inventory levels. The approach involves developing a time-discrete model parameterised with historical data. Subsequently, three control schemes are formulated: a classical feedback–feedforward PID controller, a feedback–feedforward PID controller with a Smith Predictor and a Model Predictive Control scheme. The goal of this paper is to present and validate a novel seed production–inventory model. Only aged plants are destroyed after a fixed number of production cycles. The ordering of new plants is the input control variable. The model represents the multi-year seed production of perennial crop seeds and expands upon the dead-time delay model, which typically does not account for production level uncertainty in production–inventory systems. The parameters of the model create a general approach; for both annual and perennial crop seeds.
生产计划和库存控制对育种公司的物流绩效至关重要。在本文中,我们将讨论这样一个多年生作物种子系统,该系统的特点是多年生产和生产开始前的多个生长周期。产量和需求量的巨大变化是典型现象,很容易导致种子库存短缺或过剩。这两种现象的代价都很高。由于这些原因,目前由育种人员在没有太多技术支持的情况下进行的生产规划极具挑战性。本文描述了一家育种公司的种子生产流程,并建立了模型,研究了其对库存水平的影响。该方法包括建立一个以历史数据为参数的时间离散模型。随后,本文提出了三种控制方案:经典的反馈前馈 PID 控制器、带有 Smith 预测器的反馈前馈 PID 控制器和模型预测控制方案。本文的目的是提出并验证一种新型种子生产库存模型。在固定数量的生产周期后,只有老化的植株才会被销毁。新植物的订购是输入控制变量。该模型表示了多年生作物种子的多年期种子生产,并扩展了死期延迟模型,该模型通常不考虑生产-库存系统中生产水平的不确定性。该模型的参数创建了一种通用方法;既适用于一年生作物种子,也适用于多年生作物种子。
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引用次数: 0
Model-predictive fault-tolerant control of safety-critical processes based on dynamic safe set 基于动态安全集的安全关键过程模型预测容错控制
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-11-07 DOI: 10.1016/j.jprocont.2024.103329
Ritu Ranjan, Costas Kravaris
Industrial systems and chemical plants heavily rely on automation and control systems for seamless operations. However, the susceptibility of these systems to various faults poses threats to processes, leading to economic losses and safety risks. Here, a robust fault-tolerant control (FTC) strategy is developed that can take proactive measures during faults involving in-time activation of a backup controller, to ensure that the system remains within safe operational limits. It is based on the Dynamic Safe Set (DSS) which is the set of initial process states that meet safety constraints at all times, and the dynamic safety margin (DSM) which is the minimum distance from the DSS boundary. For just-in-time corrective action, a critical fault function is introduced, defined as the time required by the system to cross the DSS boundary under the nominal controller only. This critical fault function is calculated offline and is integrated with a real-time fault size estimation to formulate the controller reconfiguration logic to keep system within DSS. A linear functional observer is used to estimate fault size, combined with a predictive scheme, to enhance robustness during the transient period of fault estimation. This configuration avoids unnecessary control actions while ensuring timely intervention. The proposed FTC strategy is tested on an exothermic Continuous Stirred Tank Reactor (CSTR) case study. The results demonstrate the strategy's effectiveness in handling process faults, ensuring both stability and safety constraints are met. Thus, this paper contributes to the advancement of FTC ensuring the resilience of industrial systems in the face of unforeseen challenges.
工业系统和化工厂在很大程度上依赖自动化和控制系统来实现无缝运行。然而,这些系统易受各种故障的影响,对流程造成威胁,导致经济损失和安全风险。在此,我们开发了一种稳健的容错控制(FTC)策略,可在故障期间采取主动措施,包括及时激活备用控制器,以确保系统保持在安全运行范围内。它以动态安全集(DSS)和动态安全裕度(DSM)为基础,前者是指始终满足安全约束条件的初始过程状态集,后者是指与动态安全集边界的最小距离。为了及时采取纠正措施,引入了临界故障函数,其定义为系统仅在标称控制器下越过 DSS 边界所需的时间。该临界故障函数是离线计算的,并与实时故障大小估计相结合,以制定控制器重新配置逻辑,使系统保持在 DSS 范围内。线性函数观测器用于估算故障大小,并与预测方案相结合,以增强故障估算瞬态期间的鲁棒性。这种配置可避免不必要的控制动作,同时确保及时干预。在放热式连续搅拌罐反应器(CSTR)案例研究中测试了所提出的 FTC 策略。结果表明,该策略能有效处理过程故障,确保满足稳定性和安全性约束。因此,本文有助于推动 FTC 的发展,确保工业系统在面对不可预见的挑战时具有复原力。
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引用次数: 0
Numerical solution of nonlinear periodic optimal control problems using a Fourier integral pseudospectral method 用傅立叶积分伪谱法数值求解非线性周期优化控制问题
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-11-04 DOI: 10.1016/j.jprocont.2024.103326
Kareem T. Elgindy
Many real-world systems exhibit cyclical behavior and nonlinear dynamics. Optimal control theory provides a framework for determining the best periodic control strategies for such systems. These strategies achieve the desired goals while minimizing the costs, energy use, or other relevant metrics. This study addresses this challenge by introducing the Fourier integral pseudospectral (FIPS) method. This method is applicable to a general class of nonlinear periodic process control problems with equality and/or inequality constraints, assuming sufficiently smooth solutions. The FIPS method performs collocation of the problem’s integral form at an equidistant set of nodes. Furthermore, it utilizes highly accurate Fourier integration matrices (FIMs) to approximate all necessary integrals. This approach transforms the original problem into a nonlinear programming problem (NLP) with algebraic constraints. We employed a direct numerical optimization method to solve this NLP effectively. This study establishes rigorous convergence properties and derives error estimates for the Fourier series, interpolants, and quadratures employed within the context of process control applications, focusing on smooth and continuous periodic functions. Finally, the accuracy and efficiency of the FIPS method are demonstrated through two illustrative nonlinear process-control problems.
现实世界中的许多系统都表现出周期性行为和非线性动态。最优控制理论为确定此类系统的最佳周期控制策略提供了一个框架。这些策略既能实现预期目标,又能最大限度地降低成本、能源消耗或其他相关指标。本研究通过引入傅立叶积分伪谱(FIPS)方法来应对这一挑战。该方法适用于具有相等和/或不等式约束条件的一般非线性周期过程控制问题,并假定有足够平滑的解。FIPS 方法在一组等距节点处对问题的积分形式进行配位。此外,它还利用高精度的傅立叶积分矩阵(FIM)来逼近所有必要的积分。这种方法将原始问题转化为具有代数约束条件的非线性编程问题(NLP)。我们采用了一种直接数值优化方法来有效求解该 NLP。本研究建立了严格的收敛特性,并推导出在过程控制应用中使用的傅里叶级数、内插值和二次函数的误差估计,重点关注平滑和连续的周期函数。最后,通过两个示例性非线性过程控制问题证明了 FIPS 方法的准确性和高效性。
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引用次数: 0
FPGA-embedded optimization algorithm to maximize the acetate productivity in a dark fermentation process 在黑暗发酵过程中最大限度提高醋酸生产率的 FPGA 嵌入式优化算法
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-11-01 DOI: 10.1016/j.jprocont.2024.103323
José de Jesús Colín-Robles , Ixbalank Torres-Zúñiga , Mario A. Ibarra-Manzano , J. Gabriel Aviña-Cervantes , Víctor Alcaraz-González
This paper presents an optimization strategy to online maximize the acetate productivity rate in a dark fermentation (DF) process. The Golden Section Search algorithm is used to compute the maximum acetate productivity rate as a function of the inlet chemical oxygen demand (COD) and the dilution rate, selected as a manipulated variable. Such maximum productivity is considered as a reference by a Super-Twisting controller to regulate the real acetate productivity rate of the DF process. Due to the lack of sensors to measure the COD online, the optimization strategy includes an unknown input observation strategy integrated by a Luenberger observer interconnected to a Super-Twisting observer to estimate the inlet COD concentration. The optimization algorithm is embedded in an FPGA (Field Programmable Gate Array) device to minimize hardware resources and power consumption. The feasibility of the online optimization strategy embedded in an FPGA, using a digital architecture designed with a fixed-point format representation, is demonstrated by numerical simulations. Results show that the optimization strategy requires 53% of the logic elements and 100% of 8-bit multipliers of an FPGA Cyclone II and the power consumption estimated is only 190mW.
本文介绍了一种在线最大化暗发酵(DF)工艺中醋酸盐生产率的优化策略。采用黄金分割搜索算法计算最大醋酸盐生产率,并将其作为入口化学需氧量(COD)和稀释率的函数。超级扭曲控制器将此最大生产率作为参考,以调节 DF 工艺的实际醋酸盐生产率。由于缺乏在线测量化学需氧量的传感器,优化策略包括一个未知输入观测策略,该策略由一个与超级扭转观测器相互连接的卢恩伯格观测器整合而成,用于估计入口处的化学需氧量浓度。优化算法嵌入到 FPGA(现场可编程门阵列)设备中,以最大限度地减少硬件资源和功耗。数值模拟证明了嵌入 FPGA 的在线优化策略的可行性,该策略采用定点格式表示的数字架构设计。结果表明,该优化策略只需要 FPGA Cyclone II 53% 的逻辑元件和 100% 的 8 位乘法器,功耗估计仅为 190mW。
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引用次数: 0
Data Science and Model Predictive Control: 数据科学与模型预测控制
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-11-01 DOI: 10.1016/j.jprocont.2024.103327
Marcelo M. Morato , Monica S. Felix
Model Predictive Control (MPC) is an established control framework, based on the solution of an optimisation problem to determine the (optimal) control action at each discrete-time sample. Accordingly, major theoretical advances have been provided in the literature, such as closed-loop stability and recursive feasibility certificates, for the most diverse kinds of processes descriptions. Nevertheless, identifying good, trustworthy models for complex systems is a task heavily affected by uncertainties. As of this, developing MPC algorithms directly from data has recently received a considerable amount of attention over the last couple of years. In this work, we review the available data-based MPC formulations, which range from reinforcement learning schemes, adaptive controllers, and novel solutions based on behavioural theory and trajectory representations. In particular, we examine the recent research body on this topic, highlighting the main features and capabilities of available algorithms, while also discussing the fundamental connections among approaches and, comparatively, their advantages and limitations.
模型预测控制(MPC)是一种成熟的控制框架,它基于优化问题的解决方案,以确定每个离散时间样本的(最优)控制行动。因此,文献中已经取得了重大的理论进展,例如针对最多样化的过程描述提供了闭环稳定性和递归可行性证明。然而,为复杂系统确定良好、可信的模型是一项受不确定性严重影响的任务。因此,最近几年,直接从数据中开发 MPC 算法受到了广泛关注。在这项工作中,我们回顾了现有的基于数据的 MPC 方案,其中包括强化学习方案、自适应控制器以及基于行为理论和轨迹表示的新型解决方案。特别是,我们考察了最近关于这一主题的研究成果,强调了现有算法的主要特点和能力,同时还讨论了各种方法之间的基本联系,以及它们的优势和局限性。
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引用次数: 0
Adaptive error feedback regulation for a 1-D anti-stable wave equation subject to harmonic disturbances 受谐波干扰的一维反稳定波方程的自适应误差反馈调节
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-10-28 DOI: 10.1016/j.jprocont.2024.103324
Shuangxi Huang , Qing-Qing Hu
In this paper, we study the error feedback regulation problem for a 1-D anti-stable wave equation with harmonic disturbances in all channels via utilizing the adaptive control method. The output to be regulated is non-collocated with the control and the reference signal is also a harmonic type. We first transform all the disturbances into one channel by an invertible transformation. Then we propose an adaptive observer through applying the only measurable tracking error. Next, we construct an observer-based error feedback controller, it is shown that the tracking error decays asymptotically to zero and all internal signals are bounded. Finally, the numerical simulations show that all the states are uniformly bounded, the unknown amplitudes of the harmonic disturbances and reference signal can be estimated and the tracking error decays to zero asymptotically.
本文利用自适应控制方法,研究了全通道谐波干扰的一维反稳定波方程的误差反馈调节问题。需要调节的输出与控制无关,参考信号也是谐波类型。我们首先通过可逆变换将所有干扰转换为一个通道。然后,通过应用唯一可测量的跟踪误差,我们提出了一种自适应观测器。接下来,我们构建了一个基于观测器的误差反馈控制器,结果表明跟踪误差渐近衰减为零,并且所有内部信号都是有界的。最后,数值模拟表明,所有状态都是均匀有界的,谐波干扰和参考信号的未知振幅可以估计,跟踪误差渐近衰减为零。
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引用次数: 0
Enhanced predictive PDF control of stochastic distribution systems with neural network compensation and its application 采用神经网络补偿的随机配电系统的增强型预测性 PDF 控制及其应用
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-10-24 DOI: 10.1016/j.jprocont.2024.103328
Ping Zhou, Xiaoyang Sun, Lixiang Zhang, Mingjie Li
Compared to the conventional control algorithms that use mean and variance as indicators, predictive probability density function (PDF) control can effectively handle the output PDF control problem of non-Gaussian stochastic distribution systems. However, the existing predictive PDF control method does not consider the construction error between output PDF and weight, thus the control performance is still unsatisfactory. Therefore, this paper proposes a new Enhanced Predictive PDF control method (En-PDF) to improve the output PDF control performance of stochastic distribution systems. The proposed method mainly consists of two parts: the predictive PDF control part and the neural network compensation control part aiming to reduce the bias of output PDF. First, the Radical Basis Functions (RBFs) are used to approximate the PDF of the stochastic systems output, and then a prediction model representing the relationship between input and weight is established using the subspace identification algorithm to design the predictive PDF control for the stochastic systems. Next, the Kullback-Leibler (KL) divergence is used to measure the similarity between the output PDF and the set PDF, combined with the weight error and compensation to design a new performance index. Based on this, the parameters of the neural network are adjusted using the gradient descent algorithm to obtain the optimal compensation, and the stability and tracking performance of the proposed algorithm are analyzed using inductive reasoning method. Finally, the predictive PDF control input with the compensation work together on the controlled plant to achieve high-performance control of the output PDF of non-Gaussian stochastic distribution systems. Both simulation experiments and physical control experiments validate the effectiveness and superiority of the proposed method.
与以均值和方差为指标的传统控制算法相比,预测概率密度函数(PDF)控制能有效处理非高斯随机分布系统的输出 PDF 控制问题。然而,现有的预测式 PDF 控制方法并未考虑输出 PDF 与权重之间的构造误差,因此控制性能仍不尽如人意。因此,本文提出了一种新的增强预测式 PDF 控制方法(En-PDF),以改善随机分布系统的输出 PDF 控制性能。本文提出的方法主要由两部分组成:预测 PDF 控制部分和旨在减少输出 PDF 偏差的神经网络补偿控制部分。首先,利用激基函数(RBF)逼近随机系统输出的 PDF,然后利用子空间识别算法建立代表输入和权重之间关系的预测模型,设计随机系统的预测 PDF 控制。接着,利用库尔巴克-莱布勒(KL)发散来衡量输出 PDF 与设定 PDF 之间的相似度,并结合权重误差和补偿来设计新的性能指标。在此基础上,利用梯度下降算法调整神经网络参数,以获得最佳补偿,并利用归纳推理方法分析了所提算法的稳定性和跟踪性能。最后,预测性 PDF 控制输入与补偿共同作用于被控植物,实现了对非高斯随机分布系统输出 PDF 的高性能控制。仿真实验和物理控制实验都验证了所提方法的有效性和优越性。
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引用次数: 0
Fixed-time active fault-tolerant control for a class of nonlinear systems with intermittent faults and input saturation 一类具有间歇性故障和输入饱和的非线性系统的固定时间主动容错控制
IF 3.3 2区 计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS Pub Date : 2024-10-24 DOI: 10.1016/j.jprocont.2024.103319
Xuanrui Cheng, Ming Gao, Li Sheng, Yongli Wei
In this paper, the problem of fixed-time active fault-tolerant control is studied for systems with sector-bounded nonlinearities, intermittent faults, and input saturation. Since intermittent faults appear and disappear randomly, a fixed-time scheme is considered in the active fault-tolerant control algorithm, composed of detection, isolation, estimation, and the control unit. Utilizing homogeneity-based observers, the fixed-time state estimation is available in the presence of unknown but bounded disturbances, and a fault diagnosis unit is proposed. An input saturation compensator is introduced to analyze the effect of input saturation, and its auxiliary variables are used in the reconfigurable control law. The fault-tolerant controller, which is constructed via the information provided by the fault diagnosis unit and saturation compensator, has two switching modes. As a consequence, intermittent faults are compensated via the designed active fault-tolerant control method and the system reaches practical stability with the entire convergence time bounded in a fixed time. Finally, the example of a heat control system is exploited to demonstrate the effectiveness of the developed active fault-tolerant control scheme.
本文研究了具有扇区约束非线性、间歇性故障和输入饱和的系统的固定时间主动容错控制问题。由于间歇性故障的出现和消失是随机的,因此在由检测、隔离、估计和控制单元组成的主动容错控制算法中考虑了固定时间方案。利用基于同质性的观测器,可在存在未知但有界的干扰时进行固定时间状态估计,并提出了故障诊断单元。引入了输入饱和补偿器来分析输入饱和的影响,其辅助变量被用于可重构的控制法则中。通过故障诊断单元和饱和补偿器提供的信息构建的容错控制器有两种切换模式。因此,间歇性故障可通过所设计的主动容错控制方法得到补偿,系统达到实际稳定性,整个收敛时间被限定在一个固定的时间内。最后,以热控制系统为例,证明了所开发的主动容错控制方案的有效性。
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引用次数: 0
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Journal of Process Control
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