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General Integral Transform Performance for Space-Time Fractional Telegraph Equations 时空分式电报方程的一般积分变换性能
Q3 Mathematics Pub Date : 2024-04-11 DOI: 10.37394/23203.2024.19.6
Tuan Trung Nguyen, S. Koonprasert, P. Meesad
The development of technology has supported effective tools in industrial machines and set up the remarkable phase that serves well-being such as kinetic energy, kinetic movement, and nuclear energy. Applied mathematics has also contributed valuable procedures in various fields of these sciences, especially the creation of transformation. With practical relevance, a new general integral (NGI) transform has also shown a crucial role in the same pragmatic methods. In this paper, the NGI transform using the combination of Padé approximation including continued fraction expansions (CFE) has been used to attain approximate solutions of space-time fractional telegraph equations by directly getting the inverse transform.
技术的发展为工业机械提供了有效的工具,并为动能、动能运动和核能等福祉建立了卓越的阶段。应用数学也为这些科学的各个领域贡献了宝贵的程序,尤其是变换的创造。新的一般积分(NGI)变换也在这些实用方法中发挥了重要作用。本文结合帕代近似(Padé approximation)和续分数展开(CFE),利用 NGI 变换直接得到逆变换,从而获得时空分数电报方程的近似解。
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引用次数: 0
Proposed Fault Detection Algorithm with Optimized Hybrid Speed Control 建议的故障检测算法与优化的混合速度控制
Q3 Mathematics Pub Date : 2024-04-11 DOI: 10.37394/23203.2024.19.5
Mariem Ahmed Baba, Mohamed Naoui, A. Abbou, Mohamed Cherkaoui
The Brushless DC (BLDC) motor is a common choice for industrial applications, particularly in the automotive sector, owing to its high efficiency and robust capabilities. To detect the position of the motor rotor, hall-effect sensors can be used, but these sensors may prevent the system from operating if they fail. Consequently, fault-tolerant control (FTC) has been proposed in several studies to ensure continuity of operation in the event of sensor failure. This paper proposes an innovative method of fault detection in the hall effect sensor for a BLDC motor using combinatorial functions. This paper proposes an innovative method of hall-effect sensor fault detection for a BLDC motor using combinatorial functions. For the speed control of the BLDC under study, a hybrid adaptive neuro-fuzzy inference control (ANFIS) is implemented. In addition, the FTC signal reconstruction technique adopted has been improved to achieve motor start-up despite a fault in one of the sensors, thanks to well-defined fault detection algorithms. Simulation results are presented for each sensor failure case to test the effectiveness of the method used.
无刷直流(BLDC)电机因其高效率和坚固耐用的特性,成为工业应用(尤其是汽车行业)的常见选择。为了检测电机转子的位置,可以使用霍尔效应传感器,但如果这些传感器发生故障,可能会导致系统无法运行。因此,一些研究提出了容错控制 (FTC),以确保在传感器发生故障时仍能继续运行。本文提出了一种利用组合函数检测无刷直流电机霍尔效应传感器故障的创新方法。本文提出了一种利用组合函数检测无刷直流电机霍尔效应传感器故障的创新方法。对于所研究的无刷直流电机的速度控制,采用了混合自适应神经模糊推理控制(ANFIS)。此外,由于采用了定义明确的故障检测算法,所采用的 FTC 信号重建技术得到了改进,从而在其中一个传感器出现故障时仍能实现电机启动。为测试所用方法的有效性,对每个传感器故障情况都给出了仿真结果。
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引用次数: 0
Impact of Weight Functions on Performance of Three-Input Integrated Dc-Dc Converter in H ∞ Control 权重函数对 H ∞ 控制下三输入集成直流-直流转换器性能的影响
Q3 Mathematics Pub Date : 2024-04-11 DOI: 10.37394/23203.2024.19.7
Manogna M., Amarendra Reddy B., Padma Kottala
Many power electronic systems applications namely locomotives, hybrid electric vehicles, and all renewable energy sourced systems are shifting towards Multi-Input Multi-Output (MIMO) integrated DC-DC converters due to their reliability and flexible nature. Designing controllers for MIMO integrated DC-DC converter is complicated due to its integrated structure, presence of common elements, and interactions between the input and output variables of the converter. In this work, a Three-Input Integrated DC-DC (TIID) converter is modeled using state-space analysis, and a Transfer Function Matrix (TFM) is acquired from the small signal continuous time model. A robust controller based on the loop shaping method is designed for the TIID converter. In this loop-shaping method, the desired robustness and the performance of the controller are represented with weight functions i.e., loop-shaping filters. These weight functions are designed using TFM and are frequency-dependent. The robustness of the controller depends on the weight function parameters. The effect of varying the parameters of the weight functions on system dynamics, robustness, and performance are studied and plotted. TIID converter of 288 W, 24V-30V-36V to 48 V is considered and the impact of weight function on closed-loop system dynamics and sensitivity characteristics under varying parameter conditions are analyzed in MATLAB Environment.
由于多输入多输出(MIMO)集成直流-直流转换器的可靠性和灵活性,许多电力电子系统应用,如机车、混合动力电动汽车和所有可再生能源系统,都在转向使用多输入多输出(MIMO)集成直流-直流转换器。由于 MIMO 集成直流-直流转换器的集成结构、共用元件的存在以及转换器输入和输出变量之间的相互作用,为其设计控制器非常复杂。在这项工作中,使用状态空间分析法对三输入集成直流-直流(TIID)转换器进行建模,并从小信号连续时间模型中获取传递函数矩阵(TFM)。为 TIID 转换器设计了一种基于环路整形方法的鲁棒控制器。在这种环路整形方法中,控制器所需的鲁棒性和性能用权重函数(即环路整形滤波器)来表示。这些权重函数使用 TFM 设计,并与频率相关。控制器的鲁棒性取决于权重函数参数。研究并绘制了改变权重函数参数对系统动态、鲁棒性和性能的影响。考虑了 288 W、24V-30V-36V 至 48 V 的 TIID 转换器,并在 MATLAB 环境中分析了权重函数在参数变化条件下对闭环系统动态和灵敏度特性的影响。
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引用次数: 0
Intelligent Adaptation Mechanism of Full-Order Luenberger Observer based on Fuzzy Logic Applied to Direct Control by Flux Orientation without Speed Sensor for Doubly Fed Induction Motor 基于模糊逻辑的全阶卢恩伯格观测器智能适应机制应用于双馈感应电机的无速度传感器通量定向直接控制
Q3 Mathematics Pub Date : 2024-04-09 DOI: 10.37394/23203.2024.19.4
D. Cherifi, Y. Miloud
The present work focused on the control by flow orientation without mechanical sensors on the doubly fed induction motor by the use of artificial intelligence techniques. Our main contribution lies in the development of control methodologies to improve control by flux orientation, for this, we acted on the type and control of inverters by the use of multilevel inverters and then on the observation technique of rotor speed based on the high gain Luenberger observer and improvements to the speed adaptation mechanism using fuzzy logic. Simulation tests of the proposed improvement approach were carried out at the end of this work to verify the behavior of this system in the face of different types of training.
本研究的重点是利用人工智能技术,在没有机械传感器的情况下,对双馈感应电机进行磁流定向控制。为此,我们使用多电平逆变器对逆变器的类型和控制进行了研究,然后基于高增益卢恩伯格观测器对转子速度进行了观测,并使用模糊逻辑对速度适应机制进行了改进。在这项工作的最后,对提出的改进方法进行了模拟测试,以验证该系统在面对不同类型的训练时的表现。
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引用次数: 0
Characterization of Tubular Surfaces in Terms of Finite III-type 用有限 III 型描述管状表面的特征
Q3 Mathematics Pub Date : 2024-04-05 DOI: 10.37394/23203.2024.19.3
Hassan Al-Zoubi, Hamza Alzaareer, Mohammad Al-Rawajbeh, Mohammad Al-kafaween
In this paper, we first define relations regarding the first and the second Laplace operators corresponding to the third fundamental form III of a surface in the Euclidean space E 3 . Then, we will characterize the tubular surfaces in terms of their coordinate finite type.
在本文中,我们首先定义了与欧几里得空间 E 3 中曲面的第三基本形式 III 相对应的第一和第二拉普拉斯算子的关系。然后,我们将根据其坐标有限类型来描述管状曲面的特征。
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引用次数: 0
Using Monte-Carlo Dropout in Deep Neural Networks for Interval Forecasting of Durian Export 在深度神经网络中使用 Monte-Carlo Dropout 对榴莲出口进行区间预测
Q3 Mathematics Pub Date : 2024-02-28 DOI: 10.37394/23203.2024.19.2
Patchanok Srisuradetchai, W. Phaphan
Interval forecasting is essential because it presents predictions with associated uncertainties, which are not captured by point forecasts alone. In nature, data contain variability due to measurement and random noise. In machine learning, most research focuses on point forecasts, with relatively few studies dedicated to interval forecasting, especially in areas such as agriculture. In this study, durian exports in Thailand are used as a case study. We employed Monte Carlo Dropout (MCDO) for interval forecasting and investigated the impact of various hyperparameters on the performance of Monte Carlo Dropout Neural Networks (MCDO-NNs). Our results were benchmarked against traditional models, such as the Seasonal Autoregressive Integrated Moving Average (SARIMA). The findings reveal that MCDO-NN outperforms SARIMA, achieving a lower root mean squared error of 9,570.24 and a higher R-squared value of 0.4837. The interval forecast width obtained from the MCDO-NN was narrower compared to that of SARIMA. Also, the impact of hyperparameters was observed, and it can serve as guidelines for applying MCDO-NNs to other agricultural datasets or datasets with seasonal and/or trend components.
区间预测非常重要,因为它提供的预测具有相关的不确定性,而这些不确定性是点预测所无法捕捉到的。在自然界中,数据包含测量和随机噪声造成的可变性。在机器学习领域,大多数研究都集中在点预测上,而专门针对区间预测的研究相对较少,尤其是在农业等领域。本研究以泰国的榴莲出口为案例。我们采用蒙特卡罗剔除(MCDO)进行区间预测,并研究了各种超参数对蒙特卡罗剔除神经网络(MCDO-NNs)性能的影响。我们的研究结果以传统模型为基准,如季节自回归整合移动平均模型(SARIMA)。研究结果表明,MCDO-NN 优于 SARIMA,均方根误差更低,为 9570.24,R 方值更高,为 0.4837。与 SARIMA 相比,MCDO-NN 得到的区间预测宽度更窄。此外,还观察了超参数的影响,这可作为将 MCDO-NNs 应用于其他农业数据集或具有季节和/或趋势成分的数据集的指南。
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引用次数: 1
Processing System for Plastic Bottle to Obtain Polyethylene Terephthalate Filament in 3D Printers 塑料瓶加工系统,用于在 3D 打印机中获得聚对苯二甲酸乙二醇酯灯丝
Q3 Mathematics Pub Date : 2024-01-17 DOI: 10.37394/23203.2024.19.1
Ricardo Yauri, Hilcar Bermeo, Alejandro León, Oscar Llerena
Plastic has become one of the most used materials in the world for many uses, especially PET plastic (polyethylene terephthalate) which is used to make plastic containers and bottles. In addition, in recent years there has been an increase in pollution due to its waste, which affects the terrestrial, marine, and climatic ecosystems. Since 2018, in Peru, thousands of tons of PET containers have been produced, of which only 21.9% was recycled. This generates great contamination of waste by plastic bottles that are produced annually. Therefore, it is important to carry out recycling processes to avoid contamination by PET bottles, which take more than 500 years to degrade. Therefore, new recycling processes are sought in areas of interest such as 3D printing technologies. For this reason, the objective of this paper is to implement a system that performs the recycling of PET bottles for use in 3D printing and thus contributes to reducing pollution. As a result, an electronic card was obtained for the automation of the foundry machine, cutting processes, casting, extrusion, and collection of filaments. In addition, a programming algorithm was developed to monitor and display the temperature based on a closed-loop system and thus obtain a higher performance and quality of PET filament.
塑料已成为世界上用途最广泛的材料之一,尤其是用于制造塑料容器和塑料瓶的 PET 塑料(聚对苯二甲酸乙二酯)。此外,近年来由于其废弃物造成的污染也在增加,影响了陆地、海洋和气候生态系统。2018 年以来,秘鲁生产了数千吨 PET 容器,其中只有 21.9% 被回收利用。每年生产的塑料瓶造成了极大的垃圾污染。因此,必须进行回收处理,以避免 PET 瓶造成污染,因为 PET 瓶需要 500 多年才能降解。因此,人们在 3D 打印技术等感兴趣的领域寻求新的回收工艺。因此,本文的目的是实施一套系统,对 PET 瓶进行回收,用于 3D 打印,从而为减少污染做出贡献。因此,我们获得了一张电子卡,用于实现铸造机、切割过程、铸造、挤压和收集长丝的自动化。此外,还开发了一种编程算法,用于监控和显示基于闭环系统的温度,从而提高 PET 长丝的性能和质量。
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引用次数: 0
A Covariance Matching-Based Adaptive Measurement Differencing Kalman Filter for INS’s Error Compensation 用于 INS 误差补偿的基于协方差匹配的自适应测量差分卡尔曼滤波器
Q3 Mathematics Pub Date : 2024-01-05 DOI: 10.37394/23203.2023.18.51
C. Hajiyev, U. Hacizade
In this study, a covariance matching-based adaptive measurement differencing Kalman filter (AMDKF) for the case of time-correlated measurement errors is proposed. The solution to the state estimation problem involves deriving a filter that accounts for measurement differences. Specifically, the measurement noise in the generated measurements is assumed to be correlated with the process noise. To address this issue in the context of correlated process and measurement noise, we propose an adaptive measurement differencing Kalman filter that is robust to measurement faults. We also evaluate the robustness of the suggested AMDKF through an analysis. When noise increment type sensor faults are present in the time-correlated inertial navigation systems (INS) measurements, the states of a multi-input/output aircraft model were estimated using both the previously developed measurement differencing Kalman filter (MDKF) and the suggested AMDKF and the results were compared.
本研究针对时间相关测量误差的情况,提出了基于协方差匹配的自适应测量差分卡尔曼滤波器(AMDKF)。要解决状态估计问题,就需要推导出一个考虑测量差异的滤波器。具体来说,假设生成的测量值中的测量噪声与过程噪声相关。为了在过程噪声和测量噪声相关的情况下解决这个问题,我们提出了一种自适应测量差分卡尔曼滤波器,它对测量故障具有鲁棒性。我们还通过分析评估了所建议的 AMDKF 的鲁棒性。当时间相关的惯性导航系统(INS)测量中出现噪声增量型传感器故障时,我们使用之前开发的测量差分卡尔曼滤波器(MDKF)和建议的 AMDKF 对多输入/输出飞机模型的状态进行了估计,并对结果进行了比较。
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引用次数: 0
Exact Solutions of the Modified Nonlinear Burgers' Equation 修正非线性布尔格斯方程的精确解
Q3 Mathematics Pub Date : 2023-12-21 DOI: 10.37394/23203.2023.18.50
Bubpha Jitsom, S. Sungnul, E. Kunnawuttipreechachan
The expansion approach has been used to solve the modified nonlinear Burgers' equation, which has a nonlinear convection term, a viscosity term, and a time-dependent term in its structure. In this paper, the main focus is to find exact solutions of the modified nonlinear Burgers' equation. The (G′=G)-expansion method is one of the methods used to find exact solutions of nonlinear problems. It requires an appropriate transform equation to convert partial differential equations to ordinary differential equations, making it easier to find the solution. In this work, we choose the traveling wave equation to covert the equation. The results show that the exact solutions of the modified nonlinear Burgers' equation by the (G′=G)-expansion method are decreasing if traveling wave parameter, ω, increases for the first case and the exact solution is increasing if ω is increasing for the second case. It is observed that (G′=G)-expansion method is an advanced and easy tool for finding exact solutions of the modified nonlinear Burgers' equation.
扩展法被用于求解修正的非线性布尔格斯方程,该方程的结构中包含一个非线性对流项、一个粘性项和一个随时间变化的项。本文的重点是寻找修正的非线性布尔格斯方程的精确解。(G′=G)- 展开法是用于寻找非线性问题精确解的方法之一。它需要一个适当的变换方程将偏微分方程转换为常微分方程,从而更容易求解。在这项工作中,我们选择行波方程来转换方程。结果表明,在第一种情况下,如果行波参数ω增大,用(G′=G)展开法求得的修正非线性布尔格斯方程的精确解是递减的;在第二种情况下,如果ω增大,精确解是递增的。由此可见,(G′=G)-展开法是寻找修正非线性布尔格斯方程精确解的一种先进而简便的工具。
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引用次数: 0
Synchronized Control of Robotic Arm based on Virtual Reality and IMU Sensing 基于虚拟现实和 IMU 传感的机械臂同步控制
Q3 Mathematics Pub Date : 2023-12-14 DOI: 10.37394/23203.2023.18.49
Chih-Jer Lin, Ting-Yi Sie, Yu-Sheng Chang
This study introduces a robotic control system that combines virtual reality integration and inertial measurement units (IMU) using mixed reality (MR) devices. The system integrates three main modules: (1) virtual reality (VR), which simulates remote reality by the Hololens2, (2) the wearable IMUs device, which captures the operator's hand movements; and (3) the robotic arm UR5, which is controlled by the user and the VR environment. The virtual and physical systems communicate via a Message Queuing Telemetry Transport (MQQT) communication architecture to establish communication between modules. To introduce a closed-loop control system for the robotic arm, model predictive control (MPC) was achieved with precise path planning to provide a flexible, intuitive, and reliable method to operate the remote-controlled manipulator. To validate the system integration and functions, two demonstrations were conducted: (a) the offline mode, where the VR module of the robotic arm was controlled by the IMUs device to check correctness, and (b) the online mode, where the control command was transferred to UR5 to complete a target mission via artificial potential field (APF) adjustment. The primary outcome of this study was the development of virtual and real industrial robotic arms to test the developed model in VR and shop floor labs.
本研究介绍了一种利用混合现实(MR)设备将虚拟现实集成与惯性测量单元(IMU)相结合的机器人控制系统。该系统集成了三个主要模块:(1) 虚拟现实(VR),通过 Hololens2 模拟远程现实;(2) 可穿戴式 IMUs 设备,捕捉操作员的手部动作;(3) 机械臂 UR5,由用户和 VR 环境控制。虚拟系统和物理系统通过消息队列遥测传输(MQQT)通信架构建立模块之间的通信。为了给机械臂引入闭环控制系统,通过精确的路径规划实现了模型预测控制(MPC),为遥控机械手的操作提供了灵活、直观和可靠的方法。为了验证系统的集成和功能,进行了两次演示:(a)离线模式,通过 IMUs 设备控制机械臂的 VR 模块,以检查正确性;(b)在线模式,通过人工势场(APF)调整,将控制命令传输到 UR5,以完成目标任务。这项研究的主要成果是开发了虚拟和真实的工业机械臂,以便在虚拟现实和车间实验室测试所开发的模型。
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引用次数: 0
期刊
WSEAS Transactions on Systems and Control
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