Results in Control and Optimization最新文献_第2页

Fractional-ordered Adams–Bashforth–Moulton (FABM) method for PIηDλ controllers’ numerical simulations for Direct Current (DC) motors in Electric Vehicles (EVs) 用于电动汽车（EV）直流（DC）电机 PIηDλ 控制器数值模拟的分数排序亚当斯-巴什福斯-穆尔顿（FABM）方法

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-10-02 DOI: 10.1016/j.rico.2024.100466

Aashima Bangia , Rashmi Bhardwaj

The model for the speed control in the Direct Current (DC) motors by developing different simulating models based upon Proportional Integral Derivative (PID) controllers with fractional-ordered Adams–Bashforth–Moulton (ABM) method has been developed. With the aim of more efficient insights, a general closed loop in PID type controllers have been constructed alongwith their implementation. PID control system consists of rule-set essential to monitor the different parameters of the environment. The control of mechanisms through Fractional-order controls (FOC) in real life applications require techniques that would build controllers; tune parameters for accurate and precise monitoring. It is known that PID controllers are sensitive to uncertainties which arise from imprecise knowledge of the kinematics and dynamics therefore an adaptive fractional PID (AFPID) controller has been proposed to use the robustness of fractional-ordered controller. In previous works, FPID controller parameters are constant during control process but in this study these parameters will be updated online with an adequate adaptation mechanism to have better results. Outcomes found to be consistent between represent a step towards understanding the relation between chaotic phenomena and fractional calculus. It has been observed that the

P I^{η} D^{λ}

control dynamics can boost the controllers’ performance by increase of tuning knobs. In addition, the initialization and execution time have decreased substantially from 2.64 to 0.87 secs and 0.5 to 0.15 secs.

通过使用分数排序的亚当斯-巴什福斯-穆尔顿（ABM）方法开发基于比例积分微分（PID）控制器的不同模拟模型，建立了直流（DC）电机速度控制模型。为了获得更有效的见解，我们构建了 PID 型控制器的一般闭环及其实现方法。PID 控制系统由监测环境不同参数所必需的规则集组成。在实际应用中，通过分数阶控制（FOC）对机制进行控制，需要能够构建控制器、调整参数以实现准确和精确监控的技术。众所周知，PID 控制器对因运动学和动力学知识不精确而产生的不确定性非常敏感，因此有人提出了自适应分数 PID (AFPID) 控制器，以利用分数阶控制器的鲁棒性。在之前的研究中，FPID 控制器参数在控制过程中保持不变，但在本研究中，这些参数将通过适当的适应机制进行在线更新，以获得更好的结果。研究结果表明，混沌现象与分数微积分之间的关系是一致的。据观察，PIηDλ 控制动态可通过增加调节旋钮来提高控制器的性能。此外，初始化和执行时间分别从 2.64 秒和 0.5 秒大幅减少到 0.87 秒和 0.15 秒。

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引用次数: 0

Mathematical modeling and strategy for optimal control of diphtheria 白喉的数学建模和优化控制策略

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-28 DOI: 10.1016/j.rico.2024.100481

Hicham Gourram , Mohamed Baroudi , Issam Sahib , Abderrahim Labzai , Khalid Herradi , Mohamed Belam

This research introduces a novel approach to combating diphtheria by presenting a comprehensive optimal control strategy focused on awareness campaigns to avoid direct contact with infected individuals and promote vaccinations. These campaigns highlight the severe complications of diphtheria, such as acute respiratory issues, myocarditis, and neurological paralysis. Additionally, the campaigns emphasize the negative impacts of an unbalanced lifestyle and environmental factors, as well as the importance of timely treatment and psychological support. The model aims to improve control strategies by reducing the number of infected individuals

I (t)

and exposed individuals

E (t)

, as well as asymptomatic carriers

A (t)

, which we have integrated into the model as an aspect that has been relatively unexplored in diphtheria transmission. The optimal controls are meticulously determined using Pontryagin’s maximum principle. The resulting optimality system is solved iteratively, ensuring precision and clarity in the results. Extensive numerical simulations rigorously support and confirm the theoretical analysis using MATLAB, providing concrete evidence of the strategy’s effectiveness. The broader implications and potential applications of this optimal control strategy extend to other infectious diseases, enhancing its relevance and utility in public health.

这项研究介绍了一种防治白喉的新方法，提出了一种全面的优化控制策略，重点是开展宣传活动，避免与感染者直接接触，并推广疫苗接种。这些宣传活动强调了白喉的严重并发症，如急性呼吸道疾病、心肌炎和神经性瘫痪。此外，宣传活动还强调了不平衡的生活方式和环境因素的负面影响，以及及时治疗和心理支持的重要性。该模型旨在通过减少感染者 I(t) 和暴露者 E(t) 以及无症状携带者 A(t) 的数量来改进控制策略。我们利用庞特里亚金的最大值原理精心确定了最优控制。由此产生的优化系统经过迭代求解，确保了结果的精确性和清晰度。利用 MATLAB 进行的大量数值模拟严格支持并证实了理论分析，为该策略的有效性提供了具体证据。这一最优控制策略的广泛影响和潜在应用还可扩展到其他传染病，从而增强了其在公共卫生领域的相关性和实用性。

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引用次数: 0

A new class of third-order iterative methods for multiple roots and their geometric construction 新一类多根三阶迭代法及其几何构造

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-26 DOI: 10.1016/j.rico.2024.100472

Carlos E. Cadenas R. , Jorge L. Perera O.

This work aims to provide a class of third-order iterative methods for solving univariate nonlinear equations with multiple roots when the multiplicity is unknown. To obtain the class of methods mentioned above, a univariate nonlinear equation is used that has the same roots as the original equation. However, the roots of this equivalent equation are simple; that is, they have multiplicity one. Therefore, Gander’s theorem can be used to construct a new class of methods. Then the geometric construction of the elements of said class is done, which satisfies the osculance condition. In addition, some families of methods belonging to said class are presented, as well as their geometric construction. Finally, numerical examples are presented where the behavior of some methods belonging to the families within the method class is observed.

本研究旨在提供一类三阶迭代方法，用于求解多根未知的单变量非线性方程。要获得上述方法，需要使用一个与原方程具有相同根的单变量非线性方程。然而，这个等价方程的根是简单的，即它们的多重性为 1。因此，甘德定理可用于构建一类新方法。然后对该类方法的元素进行几何构造，从而满足osculance 条件。此外，还介绍了属于上述类别的一些方法族及其几何构造。最后，通过数值示例来观察方法类中属于方法族的一些方法的行为。

引用次数: 0

The superiority of feasible solutions-moth flame optimizer using valve point loading 可行解决方案的优越性--使用阀点加载的蛾焰优化器

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-24 DOI: 10.1016/j.rico.2024.100465

Mohammad Khurshed Alam , Herwan Sulaiman , Asma Ferdowsi , Md Shaoran Sayem , Md Mahfuzer Akter Ringku , Md. Foysal

The optimal power flow (OPF) problem deals with large-scale, nonlinear, and non-convex optimization challenges, often accompanied by stringent constraints. Apart from the primary operational objectives of an energy system, ensuring load bus voltages remain within acceptable ranges is essential for providing high-quality consumer services. The Moth-Flame Optimizer (MFO) method is inspired by the unique night flight characteristics of moths. Moths, much like butterflies, undergo two distinct life stages: larval and mature. They have evolved the ability to navigate at night using a technique called transverse orientation. This article presents a methodology for determining the optimal energy transmission system configuration by integrating power producers. The MFO, Grey Wolf Optimizer (GWO), Success-history-based Parameter Adaptation Technique of Differential Evolution - Superiority of Feasible Solutions (SHADE-SF), and Superiority of Feasible Solutions-Moth Flame Optimizer (SF-MFO) algorithms are applied to address the OPF problem with two objective functions: (1) reducing energy production costs and (2) minimizing power losses. The efficiency of MFO, SF-MFO, SHADE-SF, and GWO for the OPF challenge is evaluated using IEEE 30-feeder and IEEE 57-feeder systems. Based on the collected data, SF-MFO demonstrated the best performance across all simulated instances. For instance, the electricity production costs generated by SF-MFO are $845.521/hr and $25,908.325/hr for the IEEE 30-feeder and IEEE 57-feeder systems, respectively. This represents a cost savings of 0.37 % and 0.36 % per hour, respectively, compared to the lowest values obtained by other comparative methods.

最优功率流（OPF）问题涉及大规模、非线性和非凸优化挑战，通常伴有严格的约束条件。除了能源系统的主要运行目标外，确保负载母线电压保持在可接受的范围内对于提供高质量的用户服务至关重要。飞蛾-火焰优化器（MFO）方法的灵感来自飞蛾独特的夜间飞行特性。飞蛾与蝴蝶一样，经历了两个不同的生命阶段：幼虫期和成熟期。它们进化出了利用横向定向技术在夜间导航的能力。本文介绍了一种通过整合电力生产商来确定最佳能源传输系统配置的方法。本文采用 MFO、灰狼优化器 (GWO)、基于成功历史参数适应技术的差分进化-可行方案优选 (SHADE-SF) 和可行方案优选-蛾焰优化器 (SF-MFO) 算法来解决 OPF 问题，该问题有两个目标函数：(1) 降低能源生产成本；(2) 尽量减少电力损耗。使用 IEEE 30 馈电系统和 IEEE 57 馈电系统评估了 MFO、SF-MFO、SHADE-SF 和 GWO 应对 OPF 挑战的效率。根据收集到的数据，SF-MFO 在所有模拟实例中表现最佳。例如，在 IEEE 30 馈电器和 IEEE 57 馈电器系统中，SF-MFO 产生的发电成本分别为 845.521 美元/小时和 25,908.325 美元/小时。与其他比较方法得出的最低值相比，每小时分别节约成本 0.37 % 和 0.36 %。

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引用次数: 0

Robust model-based control and stability analysis of PMSM drive with DC-link voltage and parameter variations 基于模型的 PMSM 驱动器鲁棒控制与稳定性分析（含直流链路电压和参数变化

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-20 DOI: 10.1016/j.rico.2024.100469

Majid Mehrasa , Hamidreza Gholinezhadomran , Pouya Tarassodi , Eduardo M.G. Rodrigues , Hossein Salehfar

To ensure a stable operation of Permanent Magnet Synchronous Motor (PMSM) drive under both DC link voltage and parameter variations, a robust control technique based on a new dynamic model that includes both drive’s and motor’s specifications is proposed in this paper. In the proposed controller, the first component of the drive’s control law consists of the d-component error of the stator current, and the second one is shaped based on the error in the square value of q-component of the stator current. To further deal with the dynamic alterations of the drive system, compensators are designed to reduce the adverse effects of rotor angular frequency variations and the difference between electrical and load torque errors. Another compensator based on the drive’s output power error is also placed at the q-component of the proposed control law. Moreover, a general operation curve (GOC) for the stator current is introduced to further assess the operation of the PMSM. In the next step, a comprehensive stability analysis verifying the stable operation of both d- and q-components of the stator current is performed using two closed-loop descriptions of the proposed control strategy. Several simulation results in MATLAB/SIMULINK environment are provided to verify the validity of the proposed control technique under various dynamic scenarios. It is worth mentioning that comparative results show that the proposed control technique compared to conventional PI controller has enabled the PMSM speed and torque to reach its 50% and 95% of their desirable values with respectively 42.9% and 28.6% less time. Also, the PMSM speed and torque responses due to proposed control technique have 75% less undershoot compared to conventional PI controller.

为确保永磁同步电机 (PMSM) 驱动器在直流链路电压和参数变化的情况下稳定运行，本文提出了一种基于新动态模型的鲁棒控制技术，该模型包括驱动器和电机的规格。在所提出的控制器中，驱动器控制法则的第一个分量由定子电流的 d 分量误差组成，第二个分量则根据定子电流 q 分量平方值的误差形成。为了进一步应对驱动系统的动态变化，设计了补偿器来减少转子角频率变化以及电气和负载转矩误差之间的差异所带来的不利影响。另一个基于驱动器输出功率误差的补偿器也被置于拟议控制法则的 q 分量处。此外，还引入了定子电流的一般运行曲线 (GOC)，以进一步评估 PMSM 的运行情况。下一步，将使用所提议控制策略的两个闭环描述进行全面的稳定性分析，以验证定子电流 d 和 q 分量的稳定运行。在 MATLAB/SIMULINK 环境中提供了多个仿真结果，以验证所提议的控制技术在各种动态情况下的有效性。值得一提的是，比较结果表明，与传统的 PI 控制器相比，所提出的控制技术能使 PMSM 转速和转矩分别达到其理想值的 50%和 95%，所用时间分别减少了 42.9% 和 28.6%。此外，与传统的 PI 控制器相比，采用拟议控制技术的 PMSM 转速和转矩响应的欠冲减少了 75%。

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引用次数: 0

Optimum control model of Malicious news spread on Social networks having Hidden accounts 有隐藏账户的社交网络上恶意新闻传播的优化控制模型

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-20 DOI: 10.1016/j.rico.2024.100468

Ankur Jain , Joydip Dhar

Extremists are increasingly using social media to recruit and radicalize other users and increase their money. Terrorists can use popular social networks accounts and perform their activities in a hidden way. So, it is crucial to create a fruitful mechanism for controlling the spread of misinformation. Otherwise, a large number of people can mislead by this terrorist activity by joining them. Here, we propose malicious news spreading model incorporating hidden attackers of a social network. A threshold is defined for deciding the extinction of malicious news from a social network. Here, we show the importance of network alertness and activity of cybersecurity agencies in the modified model. Moreover, we obtained the optimal values of the control parameters for emergencies.

极端分子越来越多地利用社交媒体招募和激进化其他用户，并增加他们的资金。恐怖分子可以利用流行的社交网络账户，以隐蔽的方式开展活动。因此，建立一个有效的机制来控制错误信息的传播至关重要。否则，会有大量的人被这种恐怖活动误导，加入他们的行列。在此，我们提出了包含社交网络隐藏攻击者的恶意新闻传播模型。我们定义了一个阈值来决定恶意新闻是否会从社交网络中消失。在此，我们展示了网络警觉性和网络安全机构活动在修正模型中的重要性。此外，我们还获得了紧急情况下控制参数的最佳值。

引用次数: 0

Trapezoidal neutrosophic teaching learning-based optimization in enhancing accuracy of diabetes prognosis 基于梯形中性教学学习的优化技术在提高糖尿病预后准确性中的应用

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-19 DOI: 10.1016/j.rico.2024.100464

Nivedita , Seema Agrawal , Tarun Kumar , Kapil Kumar , M.K. Sharma , Vishnu Narayan Mishra

Diabetes is one of chronic diseases in which blood glucose (sugar) level soar up high where human body are incapable to absorb it properly. It is important to have an appropriate diagnosis for proper management and treatment. The aim of this manuscript is to provide a more accurate diabetes prediction model through the new adaptive Trapezoidal Neutrosophic Teaching Learning-Based Optimization (TLBO) method. In order to address the inherent uncertainties and imprecisions in medical data, the suggested model makes use of the resilience of Trapezoidal Neutrosophic sets. The Trapezoidal Neutrosophic set theory provides a suitable basis for developing rule/knowledge-based systems in the medical field. The present investigation makes use of the dataset acquired from the Pima Indians Diabetes Database (PIDD) website, which has an extensive global collection of diabetes datasets. The performance of our model is evaluated against several existing methodologies, including Intuitionistic Neuro-Fuzzy System (INFS) Structure, Fuzzy Logic based Diabetes Diagnosis System (FLDDS), Fuzzy Verdict Mechanism (FVM) for Diabetes Decision, (Fuzzy Expert System) FES, and Hierarchical Neuro-Fuzzy Binary space partitioning System (HNFB-1). Quantitative analysis validates that proposed methodology achieves an exceptional predictive accuracy of 99.89 %, which is substantially higher than the comparative methodologies, namely INFS Structure (88.76 %), FLDDS (87.2 %), FVM for Diabetes Decision (85.03 %), FES (81.7 %), and HNFB-1 (78.26 %). These enhancements demonstrate show how well the suggested model works to lower diagnostic errors and increase dependability.

糖尿病是一种慢性疾病，患者的血糖水平会飙升到人体无法正常吸收的程度。适当的诊断对于正确的管理和治疗非常重要。本手稿旨在通过新的自适应梯形中性教学优化（TLBO）方法，提供一个更准确的糖尿病预测模型。为了解决医疗数据中固有的不确定性和不精确性，所建议的模型利用了梯形中性集的弹性。梯形中性集理论为在医疗领域开发基于规则/知识的系统提供了合适的基础。本研究使用的数据集来自皮马印第安人糖尿病数据库（PIDD）网站，该网站拥有大量的全球糖尿病数据集。我们的模型与现有的几种方法进行了性能评估，包括直觉神经模糊系统（INFS）结构、基于模糊逻辑的糖尿病诊断系统（FLDDS）、糖尿病决策模糊判定机制（FVM）、模糊专家系统（FES）和层次神经模糊二进制空间分区系统（HNFB-1）。定量分析证实，所提出的方法的预测准确率高达 99.89%，大大高于其他比较方法，即 INFS 结构（88.76%）、FLDDS（87.2%）、用于糖尿病决策的 FVM（85.03%）、FES（81.7%）和 HNFB-1（78.26%）。这些改进表明，建议的模型在降低诊断误差和提高可靠性方面效果显著。

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引用次数: 0

Necessary or sufficient condition for Alexandroff topological spaces to be cordial graphic 亚历山大拓扑空间是亲切图形的必要或充分条件

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-16 DOI: 10.1016/j.rico.2024.100467

A. Divya , K. Ramya , D. Sasikala

In this paper, we explore the property of being a cordial graphic and establish that it corresponds to an Alexandroff topological space. We analyze how the characteristics of cordial graphs align with the principles of Alexandroff topology and provide insights into their topological structure.

在本文中，我们探讨了亲切图形的属性，并确定它对应于亚历山德罗夫拓扑空间。我们分析了亲切图形的特征如何与亚历山德罗夫拓扑学原理相一致，并对其拓扑结构提出了见解。

引用次数: 0

Strategic approaches to mitigating Hookworm infection: An optimal control and cost-effectiveness analysis 减少钩虫感染的战略方法：最佳控制和成本效益分析

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-13 DOI: 10.1016/j.rico.2024.100477

Z. Chazuka , C.W. Chukwu , D. Mathebula , E. Mudimu

Human hookworm infection remains a serious threat to public health, particularly in highly endemic regions. The high mortality rate associated with this infection emphasizes the urgent need for effective control measures and intervention strategies to curb its spread. A nonlinear deterministic hookworm model with saturated incidence is investigated in this paper. The model exhibits a unique disease-free and endemic equilibria, and the reproduction number is computed and explained. Sensitivity analysis shows that increasing the transmission rate,

β,

the hatching rate,

α

, the number of eggs excreted within the environment,

N_{e},

and the rate of excretion of the eggs,

γ,

significantly increases the reproduction number. Based on this analysis, we extend the model to consider optimal control in the presence of three time-dependent controls namely: sanitation, preventative chemotherapy, and shoe-wearing. We define an objective function to be minimized and the conditions necessary for the optimal control are established and proved using Pontryagin’s maximum principle. We present a one-way analysis of variance to evaluate the impact of constant implementation of the control measures on the number of infected individuals. Numerical simulations also show that hookworm infection can be contained in the presence of all control measures. However, a cost-effectiveness analysis shows that combining shoe-wearing control with preventative chemotherapy is the most cost-effective measure for controlling hookworm infection. The results presented hold substantial implications for public health policy, especially in low-income regions.

人类钩虫感染仍然是对公共卫生的严重威胁，尤其是在钩虫高度流行的地区。与这种感染相关的高死亡率强调了采取有效控制措施和干预策略遏制其传播的迫切需要。本文研究了一个具有饱和发病率的非线性确定性钩虫模型。该模型表现出独特的无病均衡和流行均衡，并计算和解释了繁殖数量。敏感性分析表明，提高传播率 β、孵化率 α、环境中排泄的虫卵数 Ne 和虫卵排泄率 γ 会显著增加繁殖数量。在此分析的基础上，我们将模型扩展到考虑存在三种与时间相关的控制时的最优控制，即卫生、预防性化疗和穿鞋。我们定义了需要最小化的目标函数，并利用庞特里亚金最大原则建立和证明了最优控制的必要条件。我们采用单因子方差分析来评估不断实施控制措施对感染人数的影响。数值模拟也表明，在采取所有控制措施的情况下，钩虫感染是可以控制的。然而，成本效益分析表明，将穿鞋控制与预防性化疗相结合是控制钩虫感染最具成本效益的措施。上述结果对公共卫生政策，特别是低收入地区的公共卫生政策具有重大意义。

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引用次数: 0

Predictive analytics in customer behavior: Anticipating trends and preferences 客户行为预测分析：预测趋势和偏好

Q3 Mathematics

Results in Control and Optimization

Pub Date : 2024-09-13 DOI: 10.1016/j.rico.2024.100462

Hamed GhorbanTanhaei, Payam Boozary, Sogand Sheykhan, Maryam Rabiee, Farzam Rahmani, Iman Hosseini

In order to effectively manage their customers, businesses need to thoroughly analyze the costs and advantages associated with various alternative expenditures and investments and determine the most effective way to allocate resources to marketing and sales activities over time. Those in charge of making decisions will reap the benefits of decision support models that estimate the value of the customer portfolio and tie expenses to customers' purchasing behavior. In the current work, various machine learning algorithms such as Decision Tree (DT), Random Forest (RT), Logistic Regression (LR), Support Vector Machines (SVM), and gradient boosting are used to predict customer behavior. The evaluation criteria considered in the work include precision, recall, F1-Score, and ROC-AUC. The accuracy values obtained for DT, RT, LR, SVM, and gradient boosting are 0.787, 0.806, 0.826, 0.826, and 0.823, respectively. The results emphasize RT and LR's good performance, while the values of 0.620, 1, 0.766, and 0.878 for the precision, recall, F1-score, and ROC-AUC score outperform the rest. The novelty of this work lies in employing a comprehensive set of machine learning algorithms to predict customer behavior, with a particular emphasis on the superior performance of RF and LR models, as demonstrated by their high precision, recall, F1-score, and ROC-AUC values.

为了有效地管理客户，企业需要彻底分析与各种备选支出和投资相关的成本和优势，并确定长期为营销和销售活动分配资源的最有效方法。决策支持模型可以估算客户组合的价值，并将支出与客户的购买行为联系起来，这将使负责决策的人员获益匪浅。在当前的工作中，使用了各种机器学习算法，如决策树（DT）、随机森林（RT）、逻辑回归（LR）、支持向量机（SVM）和梯度提升来预测客户行为。工作中考虑的评估标准包括精确度、召回率、F1-分数和 ROC-AUC。DT、RT、LR、SVM 和梯度提升的准确度值分别为 0.787、0.806、0.826、0.826 和 0.823。结果凸显了 RT 和 LR 的良好性能，而精度、召回率、F1 分数和 ROC-AUC 分数分别为 0.620、1、0.766 和 0.878，优于其他算法。这项工作的新颖之处在于采用了一套全面的机器学习算法来预测客户行为，尤其强调了 RF 和 LR 模型的卓越性能，其高精度、召回率、F1-分数和 ROC-AUC 值都证明了这一点。

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引用次数: 0