Journal of The Franklin Institute-engineering and Applied Mathematics最新文献

Adaptive fixed time tracking performance control of stochastic nonlinearly parameterized systems with unknown trajectory 未知轨迹随机非线性参数化系统的自适应定时跟踪性能控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-10-09 DOI: 10.1016/j.jfranklin.2025.108122

Yanli Liu , Yihua Sun , Li-Ying Hao , Hongjun Ma

引用次数: 0

A practical type-3 fuzzy vibration control for high-speed trains subjected to unknown nonlinear dynamics 一种适用于未知非线性动力下高速列车的3型模糊振动控制方法

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-27 DOI: 10.1016/j.jfranklin.2025.108115

Chunwei Zhang , Changdong Du , Ardashir Mohammadzadeh

{"title":"A practical type-3 fuzzy vibration control for high-speed trains subjected to unknown nonlinear dynamics","authors":"Chunwei Zhang , Changdong Du , Ardashir Mohammadzadeh","doi":"10.1016/j.jfranklin.2025.108115","DOIUrl":"10.1016/j.jfranklin.2025.108115","url":null,"abstract":"<div><div>Vibration control of high-speed trains (HSTs) is a challenging problem due to complex dynamics, a high-level uncertain operating environment, and time-varying rotational dynamics. Also, controlling vibrations while maintaining stability at high speeds requires advanced controllers and engineering solutions. However, the most traditional controllers include dampers and linear controllers. A few studies have considered HST’s nonlinear dynamics and stability concerns. This paper introduces a new effective idea based on the Active Rotary Inertia Driver (ARID) system. The controlled ARID system ensures stability by actively manipulating rotational inertia through a mass disk. The designed controller is applied for a case-study plant, and the whole closed-loop dynamics are considered to be unknown. Considering the nonlinear complexity of HST motion, adaptive type-3 fuzzy logic systems (T3-FLSs) are developed for modeling. The proposed controller autonomously identifies closed-loop dynamics, independent of predefined ARID equations and HST’s models. Both control gain and nonlinearities are estimated using adaptive T3-FLSs. The T3-FLSs are updated online using Lyapunov adaptation rules. A compensatory parallel controller is also designed to counteract disturbances and T3-FLS estimation errors. The efficacy of the designed approach is validated through comprehensive experiments and simulations under various operational conditions. The overall performance is analyzed in terms of cost, time, frequency domain metrics, and energy efficiency.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108115"},"PeriodicalIF":4.2,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222534","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Distributed optimization for economic dispatch with acceleration and privacy preservation over unbalanced directed networks 非平衡定向网络中具有加速和隐私保护的经济调度分布式优化

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-27 DOI: 10.1016/j.jfranklin.2025.108107

Shaojiang Deng , Zefei Han , Qingguo Lü , Yantao Li , Huaqing Li , Dawen Xia

{"title":"Distributed optimization for economic dispatch with acceleration and privacy preservation over unbalanced directed networks","authors":"Shaojiang Deng , Zefei Han , Qingguo Lü , Yantao Li , Huaqing Li , Dawen Xia","doi":"10.1016/j.jfranklin.2025.108107","DOIUrl":"10.1016/j.jfranklin.2025.108107","url":null,"abstract":"<div><div>As one of the basic problems of smart grids, economic dispatch problems (EDPs) have aroused extensive research interest with the expansion of network scale and the improvement of system complexity. The problems aim to ensure that the overall electricity demand and generating capacity are met while minimizing the overall cost of power generation by optimizing the output power of individual generators. In order to solve constraint-coupled EDPs over unbalanced directed networks, a new privacy-preserving distributed accelerated random sleep algorithm is proposed. This algorithm incorporates conditional noise in information transmission, effectively ensuring the privacy preservation. Meanwhile, the addition of the momentum acceleration mechanism can accelerate the convergence of the algorithm, and the random sleep strategy can improve computational efficiency of the proposed algorithm. In addition, theoretical analysis is conducted to ensure the convergence and privacy of the proposed algorithm. Finally, simulation experiments are carried out to prove the effectiveness of the algorithm.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108107"},"PeriodicalIF":4.2,"publicationDate":"2025-09-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221987","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Federated anomaly detection based on collaborative pre-trained generative models in smart manufacturing 智能制造中基于协同预训练生成模型的联邦异常检测

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-26 DOI: 10.1016/j.jfranklin.2025.108094

Jiayi Fan , Shaolin Tan , Haibo Gu , Zhenqian Wang , Jinhu Lü

{"title":"Federated anomaly detection based on collaborative pre-trained generative models in smart manufacturing","authors":"Jiayi Fan , Shaolin Tan , Haibo Gu , Zhenqian Wang , Jinhu Lü","doi":"10.1016/j.jfranklin.2025.108094","DOIUrl":"10.1016/j.jfranklin.2025.108094","url":null,"abstract":"<div><div>To address anomaly detection challenge in smart manufacturing, this paper proposes an edge computing anomaly detection framework, termed the <u>F</u>ederated <u>D</u>DPM-<u>G</u>AN framework for <u>A</u>nomaly <u>D</u>etection (FDGAD). This framework is designed to detect anomalies while preserving data privacy by leveraging the strengths of denoising diffusion probabilistic model (DDPM) and generative adversarial network (GAN) to enhance the capabilities of edge devices. The integration of GANs and DDPMs facilitates the generation of realistic synthetic data and also improves the model’s ability to detect subtle and complex anomalies in industrial environments. To further strengthen data privacy, differential privacy techniques are incorporated to ensure the confidentiality of sensitive data. Additionally, we developed a collaborative learning protocol to optimize overall anomaly detection performance. The goal of the protocol is to enable efficient interaction between federated learning processes and combined DDPM-GAN architecture. Extensive case studies conducted on three benchmark datasets demonstrate the effectiveness of the proposed FDGAD framework. while ensuring data privacy. Experimental results on five industrial datasets demonstrate FDGAD achieves 90.7 % F1-score and 94.5 % AUC, outperforming baseline methods by 3.5 % and 2.3 % respectively. The DDPM-based feature extractor reduces class overlap by 41 % compared to autoencoders, while the federated protocol maintains 92.1 % detection accuracy under 50:1 class imbalance. FDGAD proves its effectiveness in handling high-dimensional sensor data and privacy-preserving industrial applications.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108094"},"PeriodicalIF":4.2,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222523","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Prescribed-time bipartite consensus control for uncertain nonlinear multiagent systems with undirected and directed topologies 具有无向和有向拓扑的不确定非线性多智能体系统的规定时间二部一致性控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-26 DOI: 10.1016/j.jfranklin.2025.108108

Jian-Qiao Wang , Yan Wang

引用次数: 0

Fixed-time surrounding control of multi-agent systems under denial-of-service attacks 拒绝服务攻击下多代理系统的固定时间周边控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-26 DOI: 10.1016/j.jfranklin.2025.108095

Mahdi Baradarannia , Farzad Hashemzadeh , Tufan Kumbasar

{"title":"Fixed-time surrounding control of multi-agent systems under denial-of-service attacks","authors":"Mahdi Baradarannia , Farzad Hashemzadeh , Tufan Kumbasar","doi":"10.1016/j.jfranklin.2025.108095","DOIUrl":"10.1016/j.jfranklin.2025.108095","url":null,"abstract":"<div><div>In the field of multi-agent systems, accomplishing reliable coordination amid cyberattacks poses a significant challenge. This paper tackles the surrounding control problem, where follower agents must create a circular formation around the dynamic leaders when Denial-of-Service (DoS) attacks disrupt the communication links between followers and leaders. We propose a novel fixed-time strategy that ensures followers not only estimate the leaders’ geometric center with resilience to DoS attacks but also achieve the desired surrounding formation within a predictable time frame. By introducing a distributed estimator, each follower can track the leaders’ center despite partial communication losses, while a carefully designed controller guarantees rapid convergence to the surrounding formation. The presented approach distinguishes itself by simultaneously tackling DoS attacks and time-sensitive performance, ensuring practical fixed-time stability even during DoS attacks. The stability of proposed materials is supported by rigorous Lyapunov-based analyses, and numerical simulations evaluate the performance of the presented framework.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108095"},"PeriodicalIF":4.2,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221988","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Improved results on finite-time synchronization of shunting inhibitory cellular neural networks with time-varying delays via impulsive pinning hybrid control 脉冲钉住混合控制对时变时滞分流抑制细胞神经网络有限时间同步效果的改进

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-26 DOI: 10.1016/j.jfranklin.2025.108085

Otankhan Maikenov , G. Soundararajan , Rakkiyappan Rajan , Ardak Kashkynbayev

{"title":"Improved results on finite-time synchronization of shunting inhibitory cellular neural networks with time-varying delays via impulsive pinning hybrid control","authors":"Otankhan Maikenov , G. Soundararajan , Rakkiyappan Rajan , Ardak Kashkynbayev","doi":"10.1016/j.jfranklin.2025.108085","DOIUrl":"10.1016/j.jfranklin.2025.108085","url":null,"abstract":"<div><div>This paper explores finite-time synchronization in shunting inhibitory cellular neural networks (SICNNs) with time-varying delays. A novel hybrid controller is introduced, which operates as an adaptive-feedback controller during impulsive intervals and switches to a pinning controller with impulsive-feedback action at impulsive instants, similar to the doublet pinning mode. Considering the basic Lyapunov function, we have proposed the settling-times for finite-time synchronization characteristics of the SICNNs-based master-slave model structured along with the hybrid controller and subdomains. The effectiveness of the proposed approach is validated through case studies, and the settling-times are comparatively analyzed using the Lambert <span><math><mi>W</mi></math></span> function. This theoretical analysis demonstrates the advantages of the proposed hybrid controller over impulsive adaptive hybrid and traditional adaptive-feedback controllers. A numerical example highlights the effectiveness of the proposed hybrid controller, with MATLAB simulations aligning closely with manual computations. Finally, the comparison includes assessing the proposed hybrid controller over impulsive adaptive hybrid and conventional adaptive-feedback controllers.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108085"},"PeriodicalIF":4.2,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222530","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Prescribed performance secure synchronization for nonlinear heterogeneous multi-agent systems under multiple attacks 多攻击下非线性异构多智能体系统的规定性能安全同步

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-26 DOI: 10.1016/j.jfranklin.2025.108114

Zhiyu Duan , Airong Wei , Xianfu Zhang , Bo Sun , Junsheng Zhao

{"title":"Prescribed performance secure synchronization for nonlinear heterogeneous multi-agent systems under multiple attacks","authors":"Zhiyu Duan , Airong Wei , Xianfu Zhang , Bo Sun , Junsheng Zhao","doi":"10.1016/j.jfranklin.2025.108114","DOIUrl":"10.1016/j.jfranklin.2025.108114","url":null,"abstract":"<div><div>In this paper, the prescribed performance secure synchronization problem is investigated for nonlinear heterogeneous multi-agent systems under multiple attacks. First, an error transformation is ingeniously constructed by combining the local neighborhood error affected by attacks with a novel performance function that can flexibly adjust boundaries. Second, a triggering mechanism with the dynamically tunable threshold is designed, and based on radial basis function neural networks, a state feedback secure control protocol without continuous information transmission is proposed under the condition that all system states are measurable. Further, in the context of only system outputs are measurable, an observer-based event-triggered output feedback secure control protocol is devised, which ensures that the output synchronization error and all closed-loop system signals still converge to an adjustable bounded neighborhood. Particularly, the internal dynamic variable embedded within the triggering mechanism plays a pivotal role in prolonging triggering intervals, thereby enabling the proposed control protocols to resist both sensor and actuator attacks in an energy-conserving manner while ensuring that the local neighborhood error satisfies prescribed performance demands. Ultimately, the examples are employed to validate the effectiveness of control schemes.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108114"},"PeriodicalIF":4.2,"publicationDate":"2025-09-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222576","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A flocking robots round-up multi-target and obstacle avoidance control algorithm 一种蜂群机器人围捕多目标避障控制算法

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-25 DOI: 10.1016/j.jfranklin.2025.108111

Chenyang Li , Yonghui Yang , Tian-Yun Huang , Xue-Bo Chen

{"title":"A flocking robots round-up multi-target and obstacle avoidance control algorithm","authors":"Chenyang Li , Yonghui Yang , Tian-Yun Huang , Xue-Bo Chen","doi":"10.1016/j.jfranklin.2025.108111","DOIUrl":"10.1016/j.jfranklin.2025.108111","url":null,"abstract":"<div><div>Cooperative rounding up multiple targets through self-organizing flocking behavior represents a fundamental challenge in multi-robot systems. Existing studies have often failed to achieve a uniform distribution of robots across multiple targets and, in most cases, only succeeded in tracking rather than capturing the targets. To address these limitations, this paper proposes a round-up control algorithm that consists of two stages: (1) Tracking and enclosing: Each target is assigned a dynamic influence area that adjusts according to the number of surrounding robots, enabling robots to redistribute themselves and tracking all targets with a balanced number. (2) Intercepting and capturing: Once the number of robots within a target’s influence area reaches a predefined threshold, the robots gradually converge their velocities. Together with a repulsive potential function designed between robots and targets, this mechanism effectively restricts target movement and enables capture. Furthermore, a new potential function with increased well depth is introduced to accelerate inter-robot interactions and reduce the time required to complete the rounding-up process, while maintaining effective obstacle avoidance. The stability of the proposed control strategy is rigorously analyzed using Lyapunov’s theorem and LaSalle’s invariance principle. Simulation results validate the effectiveness of the algorithm, demonstrating uniform target allocation, successful capture, and significant improvements in efficiency compared with existing methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108111"},"PeriodicalIF":4.2,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145222531","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Finite-time fault-tolerant cooperative control for multi-agent systems with input saturation and unknown control coefficients 输入饱和、控制系数未知的多智能体系统有限时间容错协同控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-09-25 DOI: 10.1016/j.jfranklin.2025.108096

Qing Wang , Junzhe Cheng , Bin Xin

{"title":"Finite-time fault-tolerant cooperative control for multi-agent systems with input saturation and unknown control coefficients","authors":"Qing Wang , Junzhe Cheng , Bin Xin","doi":"10.1016/j.jfranklin.2025.108096","DOIUrl":"10.1016/j.jfranklin.2025.108096","url":null,"abstract":"<div><div>This paper addresses the cooperative tracking problem for high-order uncertain nonlinear multi-agent systems under complex conditions including non-affine faults, input saturation, unknown control coefficients, and external disturbances. A novel finite-time adaptive fault-tolerant control strategy is proposed based on the command-filtered backstepping control framework. Specifically, RBF neural networks are employed to effectively approximate and suppress the effects of unknown nonlinear dynamics caused by non-affine faults and external disturbances, while an improved adaptive mechanism is developed to significantly reduce computational complexity. To resolve control input saturation and unknown control coefficients, a Nussbaum-type function and a novel gradient regulator design are incorporated into the controller architecture, ensuring control efficacy under saturation constraints while avoiding numerical instability. Furthermore, based on the finite-time control technique, the closed-loop system signals are guaranteed to rapidly converge and remain bounded within finite time. Finally, two comparative simulation experiments validate the controller’s performance, demonstrating that the proposed algorithm achieves satisfactory tracking even in fault scenarios.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108096"},"PeriodicalIF":4.2,"publicationDate":"2025-09-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221989","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0