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Creating Fuzzy Models from Limited Data 从有限数据中创建模糊模型
Q3 Mathematics Pub Date : 2024-07-24 DOI: 10.37394/23203.2024.19.22
S. Blažič
The design of experiments is a methodological approach in which measurement experiments are carefully planned to obtain highly informative data. This paper addresses the challenge of constructing mathematical models for complex nonlinear processes when the available measurement data have low information content. This problem often arises when data are collected without the guidance of an experimental modeling expert. We examine two practical examples to illustrate this issue: a textile wastewater decolorization process and atmospheric corrosion of structural metal materials. In both cases, the measured data were insufficient to construct highly accurate models. It is, therefore, necessary to make a trade-off between model complexity and accuracy by adapting modeling techniques to work effectively with the limited data available. The main aim of the paper is, therefore, to focus on simple but effective techniques that allow as much information as possible to be extracted from low-quality measurements and to maximize the usefulness of the model for its intended purpose.
实验设计是一种方法论,通过精心策划测量实验来获取高信息量的数据。本文探讨了在现有测量数据信息含量较低的情况下构建复杂非线性过程数学模型所面临的挑战。在没有实验建模专家指导的情况下收集数据时,往往会遇到这个问题。我们研究了两个实际例子来说明这个问题:纺织废水脱色过程和金属结构材料的大气腐蚀。在这两个案例中,测量数据都不足以构建高度精确的模型。因此,有必要在模型的复杂性和准确性之间做出权衡,调整建模技术,以有效利用有限的可用数据。因此,本文的主要目的是关注简单而有效的技术,以便从低质量的测量数据中提取尽可能多的信息,并最大限度地提高模型的实用性。
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引用次数: 0
Well-posedness of the Optimal Control Problem Related to Degenerate Chemo-attraction Models 与退化化合吸引模型相关的最优控制问题的良好拟合
Q3 Mathematics Pub Date : 2024-07-16 DOI: 10.37394/23203.2024.19.21
Sarah Serhal, Georges Chamoun, Mazen Saad, Toni Sayah
This paper delves into the mathematical analysis of optimal control for a nonlinear degenerate chemotaxis model with volume-filling effects. The control is applied in a bilinear form specifically within the chemical equation. We establish the well-posedness (existence and uniqueness) of the weak solution for the direct problem using the Faedo Galerkin method (for existence), and the duality method (for uniqueness). Additionally, we demonstrate the existence of minimizers and establish first-order necessary conditions for the adjoint problem. The main novelty of this work concerns the degeneracy of the diffusive term and the presence of control over the concentration in our nonlinear degenerate chemotaxis model. Furthermore, the state, consisting of cell density and chemical concentration, remains in a weak setting, which is uncommon in the literature for solving optimal control problems involving chemotaxis models.
本文深入探讨了具有体积填充效应的非线性退化趋化模型优化控制的数学分析。控制以双线性形式应用于化学方程中。我们使用 Faedo Galerkin 方法(针对存在性)和对偶性方法(针对唯一性)建立了直接问题弱解的好求解性(存在性和唯一性)。此外,我们还证明了最小值的存在,并为邻接问题建立了一阶必要条件。这项研究的主要新颖之处在于非线性退化趋化模型中扩散项的退化性和浓度控制的存在。此外,由细胞密度和化学浓度组成的状态保持在弱设置中,这在解决涉及趋化模型的最优控制问题的文献中并不常见。
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引用次数: 0
Performance Analysis of MPBC with PI and Fuzzy Logic Controllers Applied to Solar Powered Electric Vehicle Application 应用于太阳能电动汽车的带有 PI 和模糊逻辑控制器的 MPBC 性能分析
Q3 Mathematics Pub Date : 2024-06-03 DOI: 10.37394/23203.2024.19.18
Rakesh Babu Bodapati, R. S. Srinivas, P. V. R. Rao
One of the more complicated cases is managing the energy between multiple power sources that are utilized to power electric cars (EVs). Power management is often carried out following the load requirements of electric vehicles. By considering the speed and current values of the motor a novel controller is modeled named as Measurement of parameter-based controller (MPBC) which is used to obtain the smooth transition between two passive energy sources battery and Supercapacitor (SCap). Further, the proposed MPBC is combined with fuzzy logic (FLC) and proportional-integral (PI) controllers, forming two different hybrid controllers named MPBC+FLC and MPBC+PI, utilized to attain proper power management. The main function of traditional controllers FLC/PI is to generate the pulse signals to the switches present in the bidirectional converters at both battery and SCap end. On the other hand, the MPBC is utilized to control the pulse signals based on the current and speed values of the electric motor. Futcher's final MATLAB/Simulink model is built with the proposed control technique with two hybrid controllers by considering different power-generating conditions of the PV array, to know the effectiveness of the individual model.
为电动汽车(EV)提供动力的多个电源之间的能量管理就是其中较为复杂的一种情况。电源管理通常根据电动汽车的负载要求进行。通过考虑电机的速度和电流值,一种名为 "基于参数的测量控制器"(MPBC)的新型控制器被建模出来,用于在电池和超级电容器(SCap)这两种无源能源之间实现平稳过渡。此外,所提出的 MPBC 还与模糊逻辑 (FLC) 和比例积分 (PI) 控制器相结合,形成了两种不同的混合控制器,分别名为 MPBC+FLC 和 MPBC+PI,用于实现适当的功率管理。传统控制器 FLC/PI 的主要功能是为电池和 SCap 端双向转换器中的开关产生脉冲信号。而 MPBC 则根据电机的电流和速度值来控制脉冲信号。通过考虑光伏阵列的不同发电条件,利用建议的控制技术和两个混合控制器建立了 Futcher 的最终 MATLAB/Simulink 模型,以了解单个模型的有效性。
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引用次数: 0
A Model-Based Adaptive Control of Turning Maneuver for Catamaran Autonomous Surface Vessel 基于模型的双体自主水面舰艇转弯机动自适应控制
Q3 Mathematics Pub Date : 2024-05-09 DOI: 10.37394/23203.2024.19.14
I. Astrov, Irina Astrova
The effective computer control of airborne, waterborne, and ground autonomous vehicles has become one of the highest priorities in the area of cyber-physical systems, Industry 4.0 in particular, and the world economy in general. Despite extensive research on Unmanned Aerial Vehicles (UAVs), the study of Autonomous Surface Vessels (ASVs) has been more than ten times less intense. As an attempt to fill a gap in that field, this article discusses the control mathematics of a realistic ASV nonlinear model of a real autonomous electric catamaran “Nymo”, which was designed at Tallinn University of Technology (TalTech). More technically, the article offers a novel adaptive control system that is based on knowledge of the main parameters of ASV and is specially designed for a Simulink/MATLAB environment. The article also enables adjusting variables like transition time and heading angle overshoot value. The control of the desired tracking is represented in such a maneuver as turning the catamaran at different angles. The designed control system has shown good quality in terms of accuracy in tracking the desired heading angles.
对空中、水上和地面自主飞行器进行有效的计算机控制已成为网络物理系统领域,特别是工业 4.0,乃至整个世界经济的重中之重。尽管对无人驾驶飞行器(UAV)进行了广泛的研究,但对自主水面舰艇(ASV)的研究却少了十多倍。为了填补这一领域的空白,本文讨论了塔林理工大学(TalTech)设计的真实自主电动双体船 "Nymo "的现实 ASV 非线性模型的控制数学。在技术上,文章提供了一种基于 ASV 主要参数知识的新型自适应控制系统,该系统专为 Simulink/MATLAB 环境设计。该系统还可以调整过渡时间和航向角超调值等变量。所需的跟踪控制体现在以不同角度转动双体船这样的操作中。所设计的控制系统在跟踪所需航向角的精度方面表现出良好的质量。
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引用次数: 0
Voltage Stability in a Photovoltaic-based DC Microgrid with GaN-Based Bidirectional Converter using Fuzzy Controller for EV Charging Applications 使用模糊控制器的光伏直流微电网双向转换器在电动汽车充电应用中的电压稳定性
Q3 Mathematics Pub Date : 2024-05-09 DOI: 10.37394/23203.2024.19.15
K. Padma, K. Manohar
Electric vehicles are growing in importance owing to their desirable characteristics leading to utilization. It is a significant challenge to maintain voltage for DC microgrids when integrating with EVs. The work aims to enhance voltage stability in a DC microgrid and the electric vehicle charging using GaN devices in the converter. This is done by developing a DC microgrid with better voltage regulation, loss reduction, and increased efficiency and these are analyzed using PLECS software. Under different operating conditions, the proposed converter can respond to load fluctuations and maintain its voltage profile stable. The approach meets the increasing demand for vehicle charging by upgrading DC microgrid technology. The use of GaN-based converters improves voltage stability while allowing for efficient integration of EVs into the grid thereby giving more options for transportation.
由于电动汽车的理想特性,其利用率越来越高。在与电动汽车整合时,如何保持直流微电网的电压是一项重大挑战。这项工作旨在利用变流器中的氮化镓器件提高直流微电网和电动汽车充电的电压稳定性。为此,我们开发了一种具有更好的电压调节、降低损耗和提高效率的直流微电网,并使用 PLECS 软件对其进行了分析。在不同的工作条件下,所提出的转换器能够应对负载波动,并保持电压曲线稳定。该方法通过升级直流微电网技术,满足了日益增长的汽车充电需求。使用基于氮化镓的转换器可提高电压稳定性,同时将电动汽车有效地集成到电网中,从而为交通提供更多选择。
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引用次数: 0
Robust Decentralized Controller Design for Descriptor-type Systems with Distributed Time Delay 具有分布式时间延迟的描述符型系统的鲁棒分散控制器设计
Q3 Mathematics Pub Date : 2024-04-18 DOI: 10.37394/23203.2024.19.12
A. Iftar
Robust decentralized controller design is considered for linear time-invariant large-scale descriptor-type systems with distributed time delay which are composed of overlapping subsystems. A robustness bound, that accounts for the interactions among the subsystems and for modeling uncertainties both in the subsystem models and the interactions, is derived using overlapping decompositions and expansions. A robust decentralized controller design approach using this bound is then proposed. Once the robustness bound is derived, the proposed approach is decoupled for each subsystem and, for each subsystem, it is based on a local nominal model, which is also derived using overlapping decompositions and expansions. Satisfying a simple condition, involving the derived robustness bound, however, guarantees the robust stability of the overall actual closed-loop system.
针对由重叠子系统组成的具有分布式时延的线性时变大规模描述符型系统,考虑了鲁棒性分散控制器设计。利用重叠分解和扩展,得出了考虑到子系统间相互作用以及子系统模型和相互作用中建模不确定性的鲁棒性约束。然后提出了一种使用该约束的鲁棒分散控制器设计方法。一旦推导出鲁棒性约束,所提出的方法就会对每个子系统进行解耦,并且对每个子系统而言,它都是基于本地标称模型,而本地标称模型也是通过重叠分解和扩展推导出来的。然而,满足一个简单的条件(涉及推导出的鲁棒性约束)就能保证整个实际闭环系统的鲁棒稳定性。
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引用次数: 0
Using a Flywheel to Stabilize a Self-Balancing Bicycle 使用飞轮稳定自平衡自行车
Q3 Mathematics Pub Date : 2024-04-16 DOI: 10.37394/23203.2024.19.8
I. Siller-Alcalá, J. U. Liceaga-Castro, R. Alcántara-Ramírez, S. Calzadilla-Ayala
The designs of two linear control systems approach to stabilize the balance of an unmanned bicycle system are presented. Both approaches are based on the use of a reaction wheel or flywheel to balance the bicycle. The two linear control approaches, based on the linearization of a nonlinear model obtained using Lagrange formalism, are the classic linear controllers, PID and State Feedback control. The performance of both controllers is verified by digital simulation and real-time experimental results.
本文介绍了两种线性控制系统方法的设计,以稳定无人驾驶自行车系统的平衡。这两种方法都基于使用反作用轮或飞轮来平衡自行车。这两种线性控制方法是基于使用拉格朗日形式主义获得的非线性模型的线性化,是经典的线性控制器、PID 控制和状态反馈控制。数字模拟和实时实验结果验证了这两种控制器的性能。
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引用次数: 0
Fareeha Transform Performance In Solving Fractional Differential Telegraph Equations Combining Adomian Decomposition Method 结合阿多米安分解法求解分式微分方程的 Fareeha 变换性能
Q3 Mathematics Pub Date : 2024-04-16 DOI: 10.37394/23203.2024.19.9
Tuan Trung Nguyen, S. Koonprasert, P. Meesad
Transformations have successfully outperformed a significant role in solving differential equations and have been applied in large-scale aspects of science. Fareeha transform has been illustrated effectively in data compression based on containing more information of the transform. In this paper, we expand the fractional Fareeha transform in the Caputo derivative sense combining the Adomian Decomposition Method to seek the solutions of fractional differential telegraph equations. The results of practical utilization have also been significantly shown successful in solving fractional telegraph differential equations.
变换在微分方程的求解中发挥了重要作用,并被广泛应用于科学领域。基于包含更多变换信息,法里哈变换在数据压缩中得到了有效应用。本文结合 Adomian 分解法,在 Caputo 导数意义上对分数 Fareeha 变换进行了扩展,以寻求分数微分电报方程的解。实际应用结果表明,该方法在求解分数电报微分方程方面也取得了显著成效。
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引用次数: 0
A Comparative Analysis on Proportional-Integral and Fuzzy-Logic Control Strategies for Doubly-Fed Induction Generators 双馈感应发电机的比例积分和模糊逻辑控制策略比较分析
Q3 Mathematics Pub Date : 2024-04-16 DOI: 10.37394/23203.2024.19.11
Ankineedu Prasad Padamata, Gudapati Sambasiva Rao
This research investigates superior control methods for optimize the performance of Doubly-Fed Induction Generators in wind energy conversion systems. This proposed work, compares the well-established Proportional-Integral controller, with a Fuzzy Logic controller, known for its effectiveness in managing non-linear systems. To achieve a thorough analysis, this research develops a detailed mathematical model, specifically adopted to the DFIG system. It employs a PI controller for both the rotor-side and grid-side converters of the DFIG system. To enhance performance, a Fuzzy Logic controller is introduced to replace the PI controller, based on real-time operating conditions and gain values. Extensive simulations evaluate rigorously various performance metrics of the DFIG system under different control strategies. This analysis provides valuable insights to guide the selection of optimal control techniques, for wind energy systems using DFIGs. The analysis contributes to advancements in reliability, and efficiency for DFIG-based wind-energy systems, furthering the development of sustainable energy solutions.
这项研究探讨了优化风能转换系统中双馈感应发电机性能的卓越控制方法。这项研究将成熟的比例-积分控制器与模糊逻辑控制器进行了比较,后者以其在管理非线性系统方面的有效性而著称。为实现全面分析,本研究建立了一个详细的数学模型,专门用于 DFIG 系统。它为 DFIG 系统的转子侧和电网侧转换器都采用了 PI 控制器。为了提高性能,根据实时运行条件和增益值,引入了模糊逻辑控制器来取代 PI 控制器。大量仿真严格评估了不同控制策略下 DFIG 系统的各种性能指标。这项分析为指导使用双馈变流器的风能系统选择最佳控制技术提供了宝贵的见解。该分析有助于提高基于 DFIG 的风能系统的可靠性和效率,进一步推动可持续能源解决方案的发展。
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引用次数: 0
Vessel Dynamic Positioning System Mathematical Model 船舶动态定位系统数学模型
Q3 Mathematics Pub Date : 2024-04-16 DOI: 10.37394/23203.2024.19.10
Andrii Simanenkov, Halyna Doshchenko, Valentyn Chymshyr, Andrii Kononenko, Hanna Terzi, Iryna Smyrnova
This study aims to examine two potential approaches for addressing the challenge of synthesizing control laws in the Dynamic Positioning (DP) system. Both approaches pertain to the same ship model but are rooted in distinct ideologies concerning how to account for the influence of external disturbances on a closed system. The findings of this investigation could offer valuable insights for enhancing DP systems and formulating more efficient management strategies in maritime conditions. The research delves into the structure and principles of the DP system as a sophisticated control complex, identifying associated challenges in its application. Despite numerous implemented projects and considerable developer efforts, sustaining a ship in a specified position during rough seas remains a formidable task, partly due to the ship’s lack of energy armament. Exploration in the realm of regulatory system development has yet to yield the anticipated results. The present study constructs a mathematical model depicting the dynamics of a ship during positioning, considering two versions of automatic control laws aimed at stabilizing the ship’s position. The second model demonstrates superior efficiency in the control system, surpassing the first by at least 14%. A comparative analysis of two control system options with filtering properties in dynamic positioning mode for the vessel was conducted. For better results, it is recommended to implement filtering on the relevant data source before this procedure on a specific data consumer. This preliminary testing helps to remove duplicate and inaccurate data, reducing the load on the data link. Final filtering should be performed on high-performance systems. In summary, the originality and novelty of this article stem from its comparative analysis of control laws, exploration of DP system dynamics, acknowledgment of existing challenges, and practical recommendations for data filtering in dynamic positioning. The study brings a tangible contribution to the field, paving the way for advancements in the development of DP systems management and control methods.
本研究旨在探讨解决动态定位(DP)系统控制法则合成难题的两种潜在方法。这两种方法涉及相同的船舶模型,但在如何考虑外部干扰对封闭系统的影响方面却有着不同的理念。这项研究的结果可为增强 DP 系统和制定更有效的海事管理策略提供宝贵的见解。该研究深入探讨了作为复杂控制综合体的 DP 系统的结构和原理,确定了其应用中的相关挑战。尽管实施了大量项目,开发人员也付出了巨大努力,但在波涛汹涌的海面上保持船舶在指定位置仍然是一项艰巨的任务,部分原因是船舶缺乏能源装备。在调节系统开发领域的探索尚未取得预期成果。本研究构建了一个数学模型,描述了船舶在定位过程中的动力学特性,并考虑了两种旨在稳定船位的自动控制法则。第二个模型显示了控制系统的卓越效率,比第一个模型至少高出 14%。在船舶动态定位模式下,对两种具有过滤特性的控制系统方案进行了比较分析。为了获得更好的结果,建议在对特定数据消费者进行此程序之前,先对相关数据源实施过滤。这种初步测试有助于去除重复和不准确的数据,减少数据链路的负载。最终过滤应在高性能系统上进行。总之,本文的原创性和新颖性来自于对控制规律的比较分析、对 DP 系统动态的探索、对现有挑战的认识以及对动态定位中数据过滤的实用建议。该研究为该领域做出了切实贡献,为 DP 系统管理和控制方法的发展铺平了道路。
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引用次数: 0
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WSEAS Transactions on Systems and Control
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