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Investigating math education in reducing math anxiety with the help of Data Envelopment Analysis 借助数据包络分析法研究数学教育在减少数学焦虑方面的作用
Pub Date : 2024-07-25 DOI: 10.1177/00202940241235752
Ensieh Khorramian, Mohsen Rostamy-Malkhalifeh, A. Shahvarani
Mathematics is one of the important subjects of a student at various stages. From the past to present, hearing the name of mathematics has been accompanied by fear and anxiety for a significant group of students. Quality of mathematics education is a complex and multifaceted concept, and various authors with different viewpoints have proposed methods regarding the quality. Decision making in the selection of the teaching method is one of the pillars of a teacher and applying proper methods which are appropriate to the educational environment has an effective role in the success of education and reduction of students’ anxiety. In this research, with the help of Network Data Envelopment Analysis (NDEA) and Sexton’s method, we are going to rank several different teaching methods to reduce the math anxiety of second year elementary school students. Several methods were implemented in the classrooms and after that the results were evaluated using the above method and it was found that the game method has the highest rank and based on this research, it will be tried to implement this method in the classroom. Lessons should be used to reduce students’ math anxiety. In this article, we delve into the study of practical scenarios and conditions that may make the utilization of these methods more effective in mathematics education. Additionally, we offer recommendations to teachers and individuals involved in math instruction to maximize the benefits of mathematical education and reduce math anxiety.
数学是学生不同阶段的重要科目之一。从古至今,听到数学这个名字,相当一部分学生都会感到恐惧和焦虑。数学教育质量是一个复杂而多层面的概念,不同的学者从不同的角度提出了有关质量的方法。选择教学方法的决策是教师的支柱之一,应用适合教育环境的适当方法对教育的成功和减少学生的焦虑具有有效的作用。在本研究中,我们将借助网络数据包络分析法(NDEA)和塞克斯顿方法,对几种不同的教学方法进行排序,以减少二年级小学生的数学焦虑。我们在课堂上实施了几种方法,然后用上述方法对结果进行了评估,发现游戏法的排名最高,基于这项研究,我们将尝试在课堂上实施这种方法。应利用课程来减少学生的数学焦虑。在本文中,我们深入研究了在数学教育中使用这些方法可能更有效的实际情景和条件。此外,我们还向参与数学教学的教师和个人提出建议,以最大限度地发挥数学教育的效益,减少数学焦虑。
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引用次数: 0
Optimal control technique applied to the minimization of uncertainty measurements in surveying instruments 应用于测量仪器不确定性测量最小化的优化控制技术
Pub Date : 2024-07-24 DOI: 10.1177/00202940241259907
Achille Germain Feumo, Jean Francois Wounba, André Talla, Gervis Roméo Tueguem S
The objective of this study was to develop an optimal control approach by numerical calculus to predict how to reduce the overall uncertainty of survey instruments unable to directly measure inaccessible points. To reach our goal, two approaches were used to attain the objective. The first was inspired by mathematical models related to three methods appropriately selected and contained in Zhuo’s work proposed in 2012. These were Remote Elevation Measurement (REM), Remote Elevation Dual Measurement (REDM), and Front-to-Back Measurement (FBM) methods whose uncertainties on the measurements of points were deduced using error propagation equations. Optimal control technique helps us to show that for the REM, the height h of the prism contributed more than 70% compared to the global uncertainty for ranges [Formula: see text] from the prism. For the REDM, when the distance between two consecutive stations increases, the weight of the contribution of the two zenith angles [Formula: see text] and [Formula: see text] tends to 50% each for [Formula: see text] close to [Formula: see text], which is to be avoided. For the FBM, the weight of the contribution during the front measurement process before is negligible. The second approach used the Swedish regulation of SIS-TS 21143:2009 which classified total stations according to types of uncertainty to compare the results given by the total station of class T3 unable to directly measure inaccessible points with the more sophisticated class T1 station with direct measurements. Thus, for small spans at the rear measurements [Formula: see text], the height [Formula: see text] of the front prism has the greatest relative contribution more than 90% for zenithal differences [Formula: see text]. This results of our analysis were convincing and provided designers with the data to minimize the overall uncertainties essential in the conception of total stations.
本研究的目的是通过数值微积分开发一种优化控制方法,以预测如何减少无法直接测量无法进入点的测量仪器的总体不确定性。为实现目标,我们采用了两种方法。第一种方法的灵感来自于与三种方法相关的数学模型,这三种方法被适当地选择并包含在卓文君于 2012 年提出的工作中。这三种方法分别是远程高程测量法(REM)、远程高程双测量法(REDM)和前后测量法(FBM),其点测量的不确定性是通过误差传播方程推导出来的。优化控制技术帮助我们表明,对于 REM,棱镜高度 h 对棱镜测距[公式:见正文]的全局不确定性的影响超过 70%。对于 REDM,当两个连续站点之间的距离增加时,两个天顶角[公式:见正文]和[公式:见正文]的贡献权重在[公式:见正文]接近[公式:见正文]时趋于各占 50%,这是需要避免的。对于 FBM 来说,前方测量过程中的贡献权重可以忽略不计。第二种方法采用瑞典 SIS-TS 21143:2009 法规,该法规根据不确定性类型对全站仪进行分类,将无法直接测量无法进入点的 T3 级全站仪的结果与可直接测量的更复杂的 T1 级全站仪的结果进行比较。因此,对于后方测量的小跨度[计算公式:见正文],前棱镜高度[计算公式:见正文]对天顶差[计算公式:见正文]的相对贡献最大,超过 90%。我们的分析结果令人信服,并为设计人员提供了数据,以最大限度地减少全站仪概念中必不可少的总体不确定性。
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引用次数: 0
Semantic mapping techniques for indoor mobile robots: Review and prospect 室内移动机器人的语义映射技术:回顾与展望
Pub Date : 2024-07-24 DOI: 10.1177/00202940241259903
Xueyuan Song, Xuan Liang, Huaidong Zhou
With the continuous development of robotics and computer vision technology, mobile robots have been widely applied in various fields. In this process, semantic maps for robots have attracted considerable attention because they provide a comprehensive and anthropomorphic representation of the environment. On the one hand, semantic maps are a tool for robots to depict the environment, which can enhance the robot’s cognitive expression of space and build the communication bond between robots and humans. On the other hand, semantic maps contain spatial location and semantic properties of entities, which helps robots realize intelligent decision-making in human-centered indoor environments. In this paper, we review the primary approaches of semantic mapping proposed over the last few decades, and group them according to the type of information used to extract semantics. First, we give a formal definition of semantic map and describe the techniques of semantic extraction. Then, the characteristics of different solutions are comprehensively analyzed from different perspectives. Finally, the open issues and future trends regarding semantic maps are discussed in detail. We wish this review provides a comprehensive reference for researchers to drive future research in related field.
随着机器人技术和计算机视觉技术的不断发展,移动机器人已广泛应用于各个领域。在这一过程中,机器人语义图因其能全面、拟人化地表达环境而备受关注。一方面,语义地图是机器人描绘环境的工具,可以增强机器人对空间的认知表达,建立机器人与人类之间的交流纽带。另一方面,语义地图包含实体的空间位置和语义属性,有助于机器人在以人为中心的室内环境中实现智能决策。在本文中,我们回顾了过去几十年中提出的语义映射的主要方法,并根据用于提取语义的信息类型对这些方法进行了分类。首先,我们给出了语义映射的正式定义,并描述了语义提取技术。然后,从不同角度全面分析了不同解决方案的特点。最后,详细讨论了语义地图的开放性问题和未来趋势。我们希望这篇综述能为研究人员提供全面的参考,以推动相关领域的未来研究。
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引用次数: 0
Development of motion control function library based on PLCopen specification 基于 PLCopen 规范开发运动控制功能库
Pub Date : 2024-07-24 DOI: 10.1177/00202940241256835
Jichun Wu, Yongda Yang, Wenliang Zhu, Mubang Xiao, Lianchao Zhang, Dapeng Fan
The motion control library is a standard set of functional blocks integrated in a programmable integration environment, which is of great significance for the rapid development of reconfigurable Programmable Automation Controllers (PAC). However, due to the encapsulation and concealment of function blocks and the incompatibility between software and hardware, the development efficiency of function blocks is low, which is not conducive to the development of autonomous, controllable PAC. Aiming at the above problems, the methods of function block opening and key technology are studied, and a kind of motion control function library architecture and rapid development method based on the PLCopen specification are proposed. A series of motion control function libraries are developed on domestic PLC software. An experimental platform based on domestic hardware and software was designed to verify the typical motion control function library. Experimental results show that this method can effectively shorten the development cycle and that the developed motion control module can meet the actual control needs.
运动控制库是集成在可编程集成环境中的一套标准功能块,对于快速开发可重构的可编程自动化控制器(PAC)具有重要意义。然而,由于功能块的封装性和隐蔽性以及软硬件之间的不兼容性,功能块的开发效率较低,不利于自主可控 PAC 的开发。针对上述问题,研究了功能块的开放方法和关键技术,提出了一种基于 PLCopen 规范的运动控制功能库体系结构和快速开发方法。在国产 PLC 软件上开发了一系列运动控制功能库。设计了基于国产软硬件的实验平台,对典型运动控制功能库进行了验证。实验结果表明,该方法能有效缩短开发周期,开发的运动控制模块能满足实际控制需求。
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引用次数: 0
Tillage depth dynamic monitoring and precise control system 耕深动态监测和精确控制系统
Pub Date : 2024-07-24 DOI: 10.1177/00202940241263454
Kai Hu, Wenyi Zhang, Bin Qi, Yao Ji
The tillage depth (TD) serves as a pivotal criterion for assessing the operational excellence of rotary tillers, yet the current TD control methods are plagued by a myriad of issues including subpar precision and sluggish responsiveness. The present study aimed to develop a high-precision TD monitoring model that incorporates the tilting attitude of the tractor, and investigate the impact of tractor attitude inclination and lifting hydraulic cylinder stroke on TD. The TD stability control system based on electro-hydraulic control was developed, and the model identification method was adopted to derive the accurate control function. The fuzzy adaptive PID (FAPID) method was adopted to effectively improve the response speed and resisting disturbance capacity of the electro-hydraulic system. Then the co-simulation model of the electro-hydraulic control system was constructed. Under the excitation of step and sine functions, the FAPID control algorithm can reduce the rise time by more than 50%, and the displacement tracking error is also effectively reduced. To verify its effectiveness, the experimental platform was constructed, and then field test trials of TD were conducted. The test results indicate that, under various operational conditions, the developed TD control device can effectively reduce the standard deviation of TD by 0.302–0.464 and decrease the variation coefficient of TD by 2.47%–2.92%. The online monitoring and precise control device of TD investigated in this paper can effectively improve the quality of tillage machinery.
耕作深度(TD)是评估旋耕机作业优劣的关键标准,但目前的耕作深度控制方法存在精度不高、反应迟缓等诸多问题。本研究旨在开发一种结合拖拉机倾斜姿态的高精度 TD 监测模型,并研究拖拉机姿态倾斜和升降液压缸行程对 TD 的影响。开发了基于电液控制的 TD 稳定控制系统,并采用模型识别方法得出了精确的控制函数。采用模糊自适应 PID(FAPID)方法有效提高了电液系统的响应速度和抗干扰能力。然后构建了电液控制系统的协同仿真模型。在阶跃函数和正弦函数的激励下,FAPID 控制算法的上升时间缩短了 50%以上,位移跟踪误差也有效减小。为了验证其有效性,我们搭建了实验平台,然后对 TD 进行了现场测试试验。试验结果表明,在各种运行条件下,所开发的 TD 控制装置可有效降低 TD 标准偏差 0.302-0.464,降低 TD 变异系数 2.47%-2.92%。本文研究的 TD 在线监测和精确控制装置可有效提高耕作机械的质量。
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引用次数: 0
Research on evolutionary game of digital twin data information sharing based on blockchain technology 基于区块链技术的数字孪生数据信息共享进化博弈研究
Pub Date : 2024-04-24 DOI: 10.1177/00202940241245035
Yuchen Zhu
Due to the significant characteristics of decentralization and tamper resistance of blockchain technology, it helps to solve the problems of timeliness and slow permission control in traditional information sharing. However, most researchers are committed to exploring how to improve the efficiency, reliability, and privacy security of digital twin data. There is a lack of research on issues such as blockchain participants free-riding and not actively participating in information sharing, and how to promote information sharing through incentives. Therefore, this paper designs a distance grouping based practical byzantine fault tolerance consensus algorithm to address the credibility issue of transmitted data, thereby improving the efficiency of negotiation. The feasibility of the algorithm is verified through cases analysis. In addition, for the problem of low subjective willingness of information sharing, this paper designs an information sharing incentive strategy based on blockchain intelligent contracts, establishes digital twin data sharing evolutionary game models with reputation incentives and non-reputation incentives, so as to explore the impact of reputation incentive on evolutionary stability strategies. Finally, simulation analysis is conducted on the evolutionary game model of digital twin data sharing. The impact of several key indicators such as data complementarity, trust, positive incentive coefficient, and data sharing cost on the evolution process of information sharing are considered, and corresponding management insights are obtained.
由于区块链技术具有去中心化、防篡改等显著特点,有助于解决传统信息共享中的时效性、权限控制慢等问题。然而,大多数研究人员致力于探索如何提高数字孪生数据的效率、可靠性和隐私安全性。而对于区块链参与者搭便车、不积极参与信息共享,以及如何通过激励机制促进信息共享等问题的研究还比较缺乏。因此,本文设计了一种基于距离分组的实用拜占庭容错共识算法,以解决传输数据的可信度问题,从而提高协商效率。通过案例分析,验证了算法的可行性。此外,针对信息共享主观意愿低的问题,本文设计了基于区块链智能合约的信息共享激励策略,建立了声誉激励和非声誉激励的数字孪生数据共享演化博弈模型,从而探索声誉激励对演化稳定策略的影响。最后,对数字孪生数据共享演化博弈模型进行了仿真分析。考虑了数据互补性、信任度、正激励系数、数据共享成本等几个关键指标对信息共享演化过程的影响,并获得了相应的管理启示。
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引用次数: 0
The primary frequency modulation control strategy based on fuzzy active disturbance rejection control for gas turbines 基于模糊主动干扰抑制控制的燃气轮机主频率调制控制策略
Pub Date : 2024-04-23 DOI: 10.1177/00202940241247657
Xiaobo Cui, Pan Xu, Hui Gu, Liang Wang, Xiaohe Xiong, Houzhang Tan
Gas turbines play a core role in clean energy supply and construction of comprehensive energy system, and the control performance of primary frequency modulation (PFM) of gas turbine has a great impact on the frequency control of the power grid. However, there are some control difficulties in the PFM control of gas turbines, such as the coupling effect of fuel control loop and speed control loop, slow tracking speed and large variation of operating conditions. To relieve the above difficulties, a control strategy based on the fuzzy-modified active disturbance rejection control (F-MADRC) proposed in this paper. Based on the analyses of the parameter stability region for active disturbance rejection control (ADRC), fuzzy tuning rules of parameters for F-MADRC are designed. Finally, the proposed F-MADRC is applied to the PFM system of MS6001B heavy-duty gas turbine. The simulation results show that the gas turbine unit with the proposed method can obtain the best control performance of the PFM with strong ability to deal with system uncertainties. The proposed method shows good engineering application potential.
燃气轮机在清洁能源供应和综合能源系统建设中发挥着核心作用,而燃气轮机一次调频(PFM)的控制性能对电网频率控制有着重要影响。然而,燃气轮机一次调频控制存在一些控制难点,如燃料控制回路与转速控制回路的耦合效应、跟踪速度慢、工况变化大等。为缓解上述困难,本文提出了一种基于模糊修正的主动干扰抑制控制(F-MADRC)的控制策略。基于对主动干扰抑制控制(ADRC)参数稳定区域的分析,设计了 F-MADRC 的参数模糊调整规则。最后,将所提出的 F-MADRC 应用于 MS6001B 重型燃气轮机的 PFM 系统。仿真结果表明,采用所提方法的燃气轮机组可以获得 PFM 的最佳控制性能,并具有较强的系统不确定性处理能力。该方法具有良好的工程应用潜力。
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引用次数: 0
A geometric approach for homography-based visual servo control of underactuated UAVs 基于同构的欠驱动无人飞行器视觉伺服控制几何方法
Pub Date : 2024-04-23 DOI: 10.1177/00202940241238918
Zhenyu Qian, Yuanshuai Dong, Yun-Xuan Hou, Hong Zhang, Shuangwen Fan, Hang Zhong
This paper proposes a new geometric control method for homography-based visual servo control of Underactuated UAVs. In order to solve the application difficulties of geometric control in HBVS and explore a visual servo control technology that can be applied to aerial detection operations, this paper integrates the geometric control into the visual servoing framework and design a new homography-based geometric visual servoing controller. The outer loop is used as feedback information using the virtual homography matrix between the two images. The inner loop controls the orientation of the UAVs through geometric control. The stability of the proposed controller is proved based on Lyapunov’s theory. The proposed method has better transient performance and dynamic performance than the conventional visual servo method. The excellent performance of the controller has been proven by a large number of experiments. In addition, the application of the controller on an unmanned aerial manipulator is demonstrated.
本文提出了一种新的几何控制方法,用于基于同构的欠驱动无人机视觉伺服控制。为了解决几何控制在 HBVS 中的应用难题,探索一种可应用于空中探测作业的视觉伺服控制技术,本文将几何控制融入视觉伺服框架,设计了一种新的基于同构的几何视觉伺服控制器。外环利用两幅图像之间的虚拟同构矩阵作为反馈信息。内环通过几何控制来控制无人机的方向。根据 Lyapunov 理论证明了所提出控制器的稳定性。与传统的视觉伺服方法相比,所提出的方法具有更好的瞬态性能和动态性能。大量实验证明了控制器的卓越性能。此外,还演示了该控制器在无人驾驶航空机械手上的应用。
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引用次数: 0
Fin failure tolerant control of agile air vehicle using feedback linearization 利用反馈线性化实现敏捷飞行器的鳍故障容限控制
Pub Date : 2024-04-22 DOI: 10.1177/00202940241229303
Asghar Ashrafifar, Mohsen Fathi Jegarkandi
The probability of actuator lock, control surface damage, and thermal insulation failure on supersonic aircraft due to high speed and temperature is significant. Additionally, foldable fins are often used in missiles to increase the number of missiles that can be loaded onto a launcher and facilitate transportation, but this design presents the potential for malfunction and failure to open during flight. This study focuses on scenarios where control surfaces do not open or are partially damaged, leading to asymmetries and changes in the vehicle’s dynamics and aerodynamic model. The aim is to detect such failures and design a control system that can withstand these issues. To achieve this, the paper proposes an equivalent aerodynamic model representing the vehicle’s dynamics. The health of each fin is monitored using a nonlinear filter to estimate a parameter. Using separation theory, the dynamic system is divided into fast and slow subsystems, and a control signal for the faulty dynamics is designed based on back-stepping theory principles. Furthermore, the control allocation method is modified to accommodate the condition of the fins and generate the desired control moment. The proposed technique can quickly detect and isolate fin failures within seconds, while the designed controller effectively compensates for these failures.
在超音速飞机上,由于高速和高温,致动器锁定、控制面损坏和隔热材料失效的可能性很大。此外,可折叠鳍通常用于导弹,以增加可装载到发射器上的导弹数量并方便运输,但这种设计在飞行过程中存在故障和无法打开的可能性。本研究的重点是控制面未打开或部分损坏,导致飞行器动力学和空气动力学模型不对称和变化的情况。其目的是检测此类故障,并设计出能够承受这些问题的控制系统。为此,本文提出了一个代表飞行器动态的等效空气动力学模型。使用非线性滤波器对每个鳍的健康状况进行监测,以估算参数。利用分离理论,将动态系统划分为快速子系统和慢速子系统,并根据反步进理论原理设计出故障动态系统的控制信号。此外,还修改了控制分配方法,以适应鳍片的状况并产生所需的控制力矩。所提出的技术能在几秒钟内快速检测和隔离鳍故障,而所设计的控制器能有效补偿这些故障。
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引用次数: 0
Dynamic modeling and contraction metric-based tube model predictive control for mineral hydraulic collection 矿物水力采集的动态建模和基于收缩度量的管道模型预测控制
Pub Date : 2024-04-22 DOI: 10.1177/00202940241241407
Min Jiang, Xinjiang Lu, Hongyun Wu, Binzheng Chen
Efficient mineral hydraulic collection is a key issue in the mining of deep-sea minerals, where the collection efficiency is related to the lifted fluid velocity and the mineral particle velocity. In this paper, a robust control contraction metric (RCCM)-based tube model predictive control (Tube-MPC) for efficient mineral hydraulic collection is proposed. Firstly, a simplified control model is designed with empirical formula of hydrodynamic forces to avoid the computational burden in solution of the fluid equations. Secondly, a nonlinear programing problem (NLP) for efficiency optimization is formulated to calculate the nominal control law and the optimal state. To address external disturbance and model mismatch from the simplified model, a robust control contraction metric is utilized to calculate the feedback control law to track the optimal state. Finally, numerical simulations and experiments are conducted to verify the mineral hydraulic collection performance of the control strategy.
高效矿物液压采集是深海矿物开采中的一个关键问题,采集效率与提升流体速度和矿物颗粒速度有关。本文提出了一种基于鲁棒控制收缩度量(RCCM)的管道模型预测控制(Tube-MPC),用于高效矿物水力采集。首先,利用流体动力的经验公式设计了一个简化的控制模型,以避免在求解流体方程时的计算负担。其次,提出了效率优化的非线性编程问题(NLP),以计算名义控制法和最佳状态。为解决简化模型的外部干扰和模型不匹配问题,利用鲁棒控制收缩度量来计算反馈控制法,以跟踪最佳状态。最后,通过数值模拟和实验验证了控制策略的矿物水力收集性能。
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引用次数: 0
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Measurement and Control
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