Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第5页

Resilient state estimation for nonlinear systems: A binary encoding scheme under stochastic bit flips 非线性系统的弹性状态估计：随机位翻转下的二进制编码方案

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-01-03 DOI: 10.1016/j.jfranklin.2025.108398

Hongwei Chen , Shengmei Xiang , Hengyu Gu

引用次数: 0

Adaptive fuzzy finite-time observer-based control for nonlinear cyber-physical systems with actuator hysteresis and sensor deception attacks 具有执行器迟滞和传感器欺骗攻击的非线性网络物理系统的自适应模糊有限时间观测器控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-02 DOI: 10.1016/j.jfranklin.2026.108455

Mohamed Kharrat

{"title":"Adaptive fuzzy finite-time observer-based control for nonlinear cyber-physical systems with actuator hysteresis and sensor deception attacks","authors":"Mohamed Kharrat","doi":"10.1016/j.jfranklin.2026.108455","DOIUrl":"10.1016/j.jfranklin.2026.108455","url":null,"abstract":"<div><div>This work addresses the finite-time adaptive control of a class of strict-feedback nonlinear cyber-physical systems (CPSs) subject to external disturbances, sensor deception attacks, and actuator hysteresis. To handle unmeasured states caused by malicious sensor interference, a fuzzy logic-based state observer is designed, exploiting its approximation capability to reconstruct the unknown states. An output-feedback control scheme is developed by incorporating a Nussbaum-type function, ensuring stability despite unknown control gains. The proposed approach guarantees that all closed-loop signals remain bounded and system states converge to desired trajectories within a finite-time. Simulation results on a third-order electromechanical system demonstrate accurate state estimation and rapid tracking performance. Comparative analysis with an existing adaptive resilient control method shows the proposed scheme achieves faster convergence and higher estimation accuracy, highlighting its robustness and effectiveness in mitigating sensor attacks and actuator nonlinearities.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108455"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172572","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

Practical prescribed-time formation control of nonholonomic mobile robots with connectivity maintenance and collision avoidance 具有连通性维护和避碰的非完整移动机器人实用规定时间编队控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-10 DOI: 10.1016/j.jfranklin.2026.108494

Wanning Peng , Chen Chen , Zhengrong Xiang

{"title":"Practical prescribed-time formation control of nonholonomic mobile robots with connectivity maintenance and collision avoidance","authors":"Wanning Peng , Chen Chen , Zhengrong Xiang","doi":"10.1016/j.jfranklin.2026.108494","DOIUrl":"10.1016/j.jfranklin.2026.108494","url":null,"abstract":"<div><div>In this article, a practical prescribed-time (PPT) formation control strategy is proposed for multiple nonholonomic mobile robots (NMRs). Due to the limited communication range of devices and the physical size of robots, the connectivity maintenance and collision avoidance are considered. Firstly, a bounded and differentiable saturated prescribed-time adjustment (SPTA) function is introduced, allowing users to specify the settling time. Subsequently, a virtual multi-robot system is constructed by employing a potential function that incorporates both the communication range and the safe distance, which generates reference trajectories for the actual mobile robots. Additionally, fuzzy logic systems (FLSs) are employed to approximate the unknown dynamics of the NMR model. In particular, adaptive techniques are further introduced to compensate for the approximation errors, thus improving the accuracy of the approximation. The control scheme ensures that multiple NMRs achieve a desired formation pattern within a prescribed time while satisfying the connectivity and collision avoidance requirements. Finally, simulations are conducted to validate the effectiveness of the proposed control method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108494"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172562","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 modified Blaschke product decomposition method for deep graph signal feature extraction and its application on anomaly detection 基于改进Blaschke积分解的深度图信号特征提取及其在异常检测中的应用

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-07 DOI: 10.1016/j.jfranklin.2026.108471

Hao Guocheng , Wang Pei , Guo Juan , Li Xiangbo , Liu Cong , Wang Lei

{"title":"A modified Blaschke product decomposition method for deep graph signal feature extraction and its application on anomaly detection","authors":"Hao Guocheng , Wang Pei , Guo Juan , Li Xiangbo , Liu Cong , Wang Lei","doi":"10.1016/j.jfranklin.2026.108471","DOIUrl":"10.1016/j.jfranklin.2026.108471","url":null,"abstract":"<div><div>To address anomaly detection challenge in industrial manufacturing, this paper proposes a modified Blaschke product decomposition method based on the maximal selection principle of the greedy algorithm for extracting deep graph signal features, with application to vibration signal anomaly detection. The method employs the greedy algorithm to determine the eigenroots of the Blaschke product and constructs graph signals during the feature root unwinding decomposition process. The topological and spectral characteristics of these graph signals are characterized using Total Variation (TV) and Graph Fourier Total Trends (GFTT) to evaluate signal anomalies. Simulation experiments demonstrate that the extracted graph signal features effectively capture changes in feature distribution induced by artificial anomalies. The derived TV and GFTT values successfully characterize the topology, intensity distribution, and fluctuation patterns of graph signals, enabling reliable fault discrimination. In practical validation, the method was applied to vibration signals collected from micro-motors of electro-hydraulic bridge plug sealing tools, where it effectively distinguished faulty motors from normal ones and achieved more accurate abnormality diagnosis. Comparative studies with traditional anomaly detection algorithms, including Principal Component Analysis, Wavelet Transform, Support Vector Machines, and Back Propagation Neural Networks, demonstrate that the proposed method achieves substantial improvements in anomaly detection accuracy while exhibiting lower computational complexity and shorter execution times. These advantages establish the method as an effective approach for vibration fault detection in industrial applications.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108471"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172506","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 adaptive neural output-feedback control of uncertain switched nonlinear systems 不确定切换非线性系统的有限时间自适应神经输出反馈控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-01-18 DOI: 10.1016/j.jfranklin.2026.108438

Tianping Zhang , Jiasong Zhu

{"title":"Finite-time adaptive neural output-feedback control of uncertain switched nonlinear systems","authors":"Tianping Zhang , Jiasong Zhu","doi":"10.1016/j.jfranklin.2026.108438","DOIUrl":"10.1016/j.jfranklin.2026.108438","url":null,"abstract":"<div><div>In this article, the finite-time adaptive neural output-feedback control problem is investigated for a class of switched nonlinear systems with unmodeled dynamics. A high-gain observer is constructed to estimate the system states. Meanwhile, the incorporation of radial basis function neural networks (RBFNNs) facilitates the approximation of unknown continuous nonlinear functions. By constructing independent dynamic signals for different subsystems, the impact of unmodeled dynamics on system performance is effectively suppressed. By integrating the command-filtered backstepping technology and the common Lyapunov function (CLF) method, a finite-time adaptive control algorithm is proposed. Furthermore, using the dynamic surface control (DSC) method, it is proven that all signals of the switched system are semi-globally practically finite-time stable (SGPFS) under arbitrary switching, and the tracking error can converge to a small vicinity surrounding the origin within finite time. Finally, the reliability of the proposed control strategy is verified by means of two simulation examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108438"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172505","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

Anti-disturbance synchronization of complex networks with mismatched quantization input via aperiodically intermittent control 基于非周期间歇控制的非匹配量化输入复杂网络的抗干扰同步

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-08 DOI: 10.1016/j.jfranklin.2026.108484

Yong Wei, Wen Qin, Mouquan Shen

引用次数: 0

Full-state constrained fixed-time trajectory tracking control for stratospheric airships with actuator saturation and external disturbances 考虑致动器饱和和外部扰动的平流层飞艇全状态约束定时轨迹跟踪控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-03 DOI: 10.1016/j.jfranklin.2026.108454

Haoran You, Sulan Li, Xuechao Duan, Wei Zhang

{"title":"Full-state constrained fixed-time trajectory tracking control for stratospheric airships with actuator saturation and external disturbances","authors":"Haoran You, Sulan Li, Xuechao Duan, Wei Zhang","doi":"10.1016/j.jfranklin.2026.108454","DOIUrl":"10.1016/j.jfranklin.2026.108454","url":null,"abstract":"<div><div>This paper addresses the full-state constrained fixed-time trajectory tracking problem of a stratospheric airship subject to input saturation and external disturbances. By combining dynamic surface control (DSC) technique with fixed-time stability theory, a novel full-state constrained fixed-time dynamic surface controller (FCFT-DSC) is designed, which inherently avoids the computation of the virtual control law derivatives. A constraint transformation function is introduced to convert the original system into an unconstrained one. Moreover, a filtering-error estimator is proposed for the DSC, ensuring that filtering error converges to zero. Theoretical analysis proves that the proposed control algorithm can achieve fixed-timely uniformly ultimately bounded stabilization, and all the tracking errors remain within the specified constrained bounds. Additionally, a Predefined-Time Sliding Mode Observer (PTSMO) is employed to address external disturbances and input saturation within a user-defined settling time <em>T<sub>c</sub></em>. Finally, simulation results are given to illustrate the effectiveness of the proposed control scheme.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108454"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172567","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

Low-complexity prescribed performance tracking control for attitude system in unmanned autonomous helicopter under external disturbance 外部干扰下无人自主直升机姿态系统的低复杂度规定性能跟踪控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-15 Epub Date: 2026-02-02 DOI: 10.1016/j.jfranklin.2026.108460

Chunyu Zhang , Ting Wang , Tao Li , Zehui Mao

{"title":"Low-complexity prescribed performance tracking control for attitude system in unmanned autonomous helicopter under external disturbance","authors":"Chunyu Zhang , Ting Wang , Tao Li , Zehui Mao","doi":"10.1016/j.jfranklin.2026.108460","DOIUrl":"10.1016/j.jfranklin.2026.108460","url":null,"abstract":"<div><div>This paper proposes a low-complexity prescribed performance tracking control strategy for unmanned autonomous helicopter (UAH) attitude system under external disturbance and attitude angle constraint. Firstly, an improved boundary protection algorithm (IBPA) is proposed to generate safe attitude angles that satisfy time-varying boundary constraints, and the generated angles are subsequently employed as the reference signals for achieving safe tracking. Secondly, to decrease heavy dependence on high observer gains in existing second-order disturbance observers (SODOs) for accurate estimations, this paper integrates state prediction error into the structure of traditional SODO, enabling more efficient estimation even under low gains. Thirdly, by using disturbance estimation, an anti-disturbance low-complexity prescribed performance controller is proposed to realize the desired control target, which features a simplified structure and effectively reduces computational burden. Fourthly, the bounded stability for the closed-loop error system is rigorously analyzed using Lyapunov theory, and a co-design method of the controller and observer is presented. Finally, the effectiveness and superiority of the proposed control scheme are validated by using a simulated example.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108460"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146122636","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

Best performance study of nonlinear dynamics systems with network analysis over multiple communication constraints 多通信约束下网络分析非线性动力学系统的最佳性能研究

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-05 DOI: 10.1016/j.jfranklin.2025.108389

Fang Han , Xiaosheng Zhou , Ming Chi

{"title":"Best performance study of nonlinear dynamics systems with network analysis over multiple communication constraints","authors":"Fang Han , Xiaosheng Zhou , Ming Chi","doi":"10.1016/j.jfranklin.2025.108389","DOIUrl":"10.1016/j.jfranklin.2025.108389","url":null,"abstract":"<div><div>This study investigates the impact of various networking elements and queue management systems on the performance of <em>Network Control Systems</em> (NCSs) within the framework of nonlinear dynamics and complex systems. By focusing on the performance limitations imposed by <em>White Gaussian Noise</em> (WGN) in both forward and feedback pathways, as well as the influence of codec and queuing systems in feedback channels, we explore the intricate interplay between network-induced constraints and the nonlinear dynamics of NCSs. Utilizing queuing models, we analyze how queuing architectures affect the efficiency of NCSs under limited data availability, emphasizing the emergent behaviors characteristic of complex systems. Through internal and external factorization, along with selective disintegration methods and spectral partitioning techniques, we derive the performance expression of NCSs. Our findings reveal that the system’s effectiveness is governed by its intrinsic nonlinear dynamics, such as the presence of unstable points, <em>Non-Minimum Phase</em> (NMP) points, and their spatial orientation, as well as by network-specific factors, including codec types and WGN. These results underscore the complex, interdependent nature of NCSs as nonlinear dynamical systems operating within networked environments. Finally, the theoretical insights are validated through three distinct simulation experiments, demonstrating the robustness and applicability of our approach in real-world scenarios.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108389"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025302","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

Arbitrary-time adaptive second-order sliding mode control design for nonlinear systems featuring parametric uncertainties and time-varying output constraints 具有参数不确定性和时变输出约束的非线性系统任意时间自适应二阶滑模控制设计

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-18 DOI: 10.1016/j.jfranklin.2026.108440

Luxia Han, Runzi Luo

{"title":"Arbitrary-time adaptive second-order sliding mode control design for nonlinear systems featuring parametric uncertainties and time-varying output constraints","authors":"Luxia Han, Runzi Luo","doi":"10.1016/j.jfranklin.2026.108440","DOIUrl":"10.1016/j.jfranklin.2026.108440","url":null,"abstract":"<div><div>Within the framework of output constraints and arbitrary-time stability, this research focuses on the free will arbitrary-time (FWAT) second-order sliding mode control (SOSMC) for nonlinear systems with parameter uncertainties and mismatches. Firstly, a novel stability theorem for FWAT is proposed, which is based on the integration algorithm. Distinct from the existing FWAT stability theorems, this one can flexibly adjust the convergence rate in accordance with actual requirements while keeping the convergence time unchanged, and the convergence time can be arbitrarily assigned without being affected by the initial value and system parameters. Secondly, by combining the FWAT stability theorem with SOSMC, the arbitrary-time stability of the nonlinear system under output constraints is achieved, with a detailed proof provided. There is currently no control algorithm in the existing literature that combines both properties. Subsequently, in order to cope with multiple uncertainties in the system, adaptive strategies are formulated and integrated into the FWAT based second order sliding mode control framework, enabling the system to be immune to the interference of uncertainties and to return to the equilibrium state. Finally, simulations of the proposed method are carried out to verify the effectiveness and feasibility of the FWAT adaptive second-order sliding mode control.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108440"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025306","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