Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第3页

Reflections on the human situation on the 200th anniversary of the Journal of the Franklin Institute 《富兰克林研究所学报》创刊200周年之际对人类处境的思考

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-10-01 Epub Date: 2026-08-18 DOI: 10.1016/j.jfranklin.2026.108992

S.M. Faber Ph.D.

引用次数: 0

Sliding mode control for spacecraft attitude tracking based on fully actuated system approach 基于全驱动系统方法的航天器姿态跟踪滑模控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-08-15 Epub Date: 2025-10-09 DOI: 10.1016/j.jfranklin.2025.108124

Qian Wang, Fengxi He

引用次数: 0

Nash equilibrium seeking in noncooperative games with time-varying delays and bias 时变时滞和偏差非合作对策的纳什均衡寻求

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-08-15 Epub Date: 2026-03-06 DOI: 10.1016/j.jfranklin.2026.108571

Zixi Zhang, Xuefei Yang, Xin Gong, Zhiguang Feng

引用次数: 0

Withdrawal Notice to “Perfect reconstruction filter banks and periodically nonuniform sampling associated with the special affine fourier transform” [Journal of the Franklin Institute Volume 363, Issue 7, 1 May 2026, 108612] “与特殊仿射傅立叶变换相关的完美重构滤波器组和周期性非均匀采样”的撤回通知[Journal of the Franklin Institute， vol . 363, Issue 7, 2026, 1 May 8612]

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-05-01 Epub Date: 2026-05-03 DOI: 10.1016/j.jfranklin.2026.108706

Jing Yang , Yingchun Jiang

引用次数: 0

Anti-outlier unscented kalman filter for power system state estimation 电力系统状态估计的抗离群无嗅卡尔曼滤波

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: 2026-02-09 DOI: 10.1016/j.jfranklin.2026.108495

Haoli Gu , Bo Chen , Rusheng Wang

{"title":"Anti-outlier unscented kalman filter for power system state estimation","authors":"Haoli Gu , Bo Chen , Rusheng Wang","doi":"10.1016/j.jfranklin.2026.108495","DOIUrl":"10.1016/j.jfranklin.2026.108495","url":null,"abstract":"<div><div>While state estimation plays a critical role in power system operation and control, it suffers from multi-rate problem caused by the different sampling frequency of multiple sensors. A multi-rate mechanism is proposed based on the non-common multiples assumption to deal with this problem. On this basis, an enhanced batch covariance intersection (CI) algorithm is used to solve the multi-sensor fusion problem. In addition, an anti-outlier unscented Kalman filter (AO-UKF) is developed in order to solve the problem of outliers, which caused by phenomena such as communication loss and transformer saturation. The proposed AO-UKF is able to estimate system instantaneous states in a more robust way than other traditional Kalman filtering methods thanks to a novel mixed outlier detection mechanism. This mechanism is designed by utilizing projection statistic and least square methods, which is inspired by the distribution characteristics of the innovation-based and the prediction-based sample points. Since two types of sample points are bivariate Gaussian distribution and linear distribution respectively, the designed mechanism has a wider applicability compared to a single detection mechanism. Finally, comparisons have been extensively conducted with other traditional Kalman filtering methods including UKF, and the results show that the proposed AO-UKF method can provide a better estimation accuracy when outliers are taken into account.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108495"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172568","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

Enhancing quadrotor trajectory prediction via hybrid-corrected TCN-MLP network 基于混合校正TCN-MLP网络增强四旋翼飞行器轨迹预测

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.2026.108493

Liu Liu, Di Jin

{"title":"Enhancing quadrotor trajectory prediction via hybrid-corrected TCN-MLP network","authors":"Liu Liu, Di Jin","doi":"10.1016/j.jfranklin.2026.108493","DOIUrl":"10.1016/j.jfranklin.2026.108493","url":null,"abstract":"<div><div>State estimation provides the foundation for the safe and autonomous operation of quadrotors by delivering reliable pose and velocity information under noisy and incomplete sensor measurements, but it is insufficient for complex missions. As its temporal extension, trajectory prediction underpins key functions such as path planning, obstacle avoidance, and decision-making control directly. Classical estimation methods are inadequate for long-horizon prediction, while deep learning models, despite their strong nonlinear representational capacity, lack real-time correction mechanisms compatible with state estimation principles. To overcome these limitations, this paper proposes a TCN-MLP trajectory prediction model enhanced with a hybrid-correction (HC) mechanism. By dynamically incorporating partial ground-truth observations during training, the HC mechanism effectively mitigates error accumulation. Experimental results on real-world quadrotor flight datasets demonstrate that the proposed method achieves superior long-term prediction accuracy and robustness compared with mainstream baselines.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108493"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172561","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

Parameter estimation of wiener nonlinear systems based on gradient iteration theory and zebra optimization algorithm 基于梯度迭代理论和斑马优化算法的维纳非线性系统参数估计

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: 2026-02-09 DOI: 10.1016/j.jfranklin.2026.108499

Lingling Lv , Yulin Zhang , Yu Wu , Chongbin Xu , Zhongyang Li , Huaicheng Yan

{"title":"Parameter estimation of wiener nonlinear systems based on gradient iteration theory and zebra optimization algorithm","authors":"Lingling Lv , Yulin Zhang , Yu Wu , Chongbin Xu , Zhongyang Li , Huaicheng Yan","doi":"10.1016/j.jfranklin.2026.108499","DOIUrl":"10.1016/j.jfranklin.2026.108499","url":null,"abstract":"<div><div>In this paper, we address the problem of parameter identification for a Wiener nonlinear system with an autoregressive (AR) noise model. We propose two novel algorithms, namely the Wiener system generalized gradient iterative (WS-GGI) algorithm and the Wiener system zebra optimization (WS-ZO) algorithm. The WS-GGI algorithm is rooted in the gradient search principle, while the WS-ZO algorithm is a metaheuristic approach characterized by its robust parallel search capability. The core concept of the WS-ZO method is to identify the optimal solution by simulating the random movements of zebras within the search space and evaluating the objective function. The effectiveness of the proposed algorithms is demonstrated through experimental data and further compared with the recursive generalized least squares (RGLS) algorithm and the particle swarm optimization (PSO) algorithm. In conclusion, our findings indicate that these two new algorithms offer significant advantages in terms of accuracy and computational efficiency.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108499"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172570","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

Event-triggered fixed-time control for marine generator excitation system with super-twisting observer 带超扭观测器的船舶发电机励磁系统事件触发定时控制

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.2026.108462

Xiaoyuan Luo , Jiahui Dong , Shaoping Chang , Xinping Guan

{"title":"Event-triggered fixed-time control for marine generator excitation system with super-twisting observer","authors":"Xiaoyuan Luo , Jiahui Dong , Shaoping Chang , Xinping Guan","doi":"10.1016/j.jfranklin.2026.108462","DOIUrl":"10.1016/j.jfranklin.2026.108462","url":null,"abstract":"<div><div>This research proposes a swift and accurate control strategy for a generator’s excitation system being easily perturbed during normal operation. The strategy is developed based on the event-triggered mechanism and fixed-time stabilization theory. To begin with, the mathematical models of the generator and its excitation control system are established, and the impact of external disturbances is analyzed. Then, an event-triggered fixed-time super-twisting observer is introduced to reduce the system’s susceptibility to perturbations by estimating and compensating for them. Simultaneously, a controller is designed using this observer to ensure the system state converges within a fixed time, with the upper bound of convergence time independent of the initial state. Ultimately, Lyapunov theory is employed to validate the fixed-time convergence of the controller and observer while avoiding the Zeno phenomenon. Simulation results confirm the effectiveness of the proposed strategy in detecting and resisting perturbations, improving system performance, and reducing energy consumption and update frequency.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108462"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146122637","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

Filtered output feedback control for uncertain nonlinear systems: A barrier function-based approach 不确定非线性系统的滤波输出反馈控制：一种基于势垒函数的方法

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.2026.108437

Jie Zhang , Jie Tao , Ming Lin , Yong-Hua Liu , Chun-Yi Su , Renquan Lu

{"title":"Filtered output feedback control for uncertain nonlinear systems: A barrier function-based approach","authors":"Jie Zhang , Jie Tao , Ming Lin , Yong-Hua Liu , Chun-Yi Su , Renquan Lu","doi":"10.1016/j.jfranklin.2026.108437","DOIUrl":"10.1016/j.jfranklin.2026.108437","url":null,"abstract":"<div><div>This paper presents a barrier function-based filtered output feedback control strategy for a class of uncertain nonlinear systems with unmeasurable states. A neural network-driven observer is first devised to reconstruct the unavailable states, thereby laying the necessary foundation for controller synthesis. On this basis, a novel barrier function-based filter is developed to eliminate the need for high-order derivatives of virtual control inputs, while strictly confining the filtered error within a predefined range to prevent its accumulation from compromising system stability. A core innovation of the proposed approach lies in its suppression of filtered errors through the embedded barrier function mechanism, which significantly enhances control performance and guarantees that all closed-loop signals remain bounded. In contrast to existing filtered backstepping methods that rely on small filtering time constants for stability preservation, the proposed approach effectively mitigates such dependency by leveraging a barrier function-based regulation mechanism. Comparative simulations and inverted pendulum experiments are conducted to validate the effectiveness and practicality of the proposed control strategy, highlighting its superiority in improving overall control performance.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108437"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172576","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

Security-based asynchronous event-triggered control for passivity analysis of semi-Markov jump cyber-physical systems under aperiodic DoS attacks 基于异步事件触发安全控制的非周期DoS攻击下半马尔可夫跳变网络物理系统被动分析

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: 2026-02-05 DOI: 10.1016/j.jfranklin.2026.108461

A. Chandrasekar , T. Radhika , M. Kamali , Michael Shi

{"title":"Security-based asynchronous event-triggered control for passivity analysis of semi-Markov jump cyber-physical systems under aperiodic DoS attacks","authors":"A. Chandrasekar , T. Radhika , M. Kamali , Michael Shi","doi":"10.1016/j.jfranklin.2026.108461","DOIUrl":"10.1016/j.jfranklin.2026.108461","url":null,"abstract":"<div><div>This study explores the problem of asynchronous event-triggered secure control for semi-Markov jump cyber-physical systems (S-MJCPSs) subjected to time-varying delays (TVDs) and aperiodic denial-of-service (DoS) attacks. To counteract Zeno behavior and eliminate the need for continuous monitoring, a memory-based mode-dependent resilient event-triggering scheme (MMRETS) is devised. This scheme not only enhances transmission efficiency but also improves resilience against DoS attacks. Furthermore, an advanced auxiliary function-dependent integral inequality is introduced to effectively handle the differentiation of the triple integral terms in the lyapunov-krasovskii functional (LKF). Leveraging this refined inequality, passivity conditions with reduced conservatism for S-MJCPSs are established, and the corresponding sufficient conditions are formulated as linear matrix inequalities (LMIs). Lastly, the efficacy and superiority of the proposed approach are validated through two numerical case studies: an aircraft engine system and a robot arm model.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 5","pages":"Article 108461"},"PeriodicalIF":4.2,"publicationDate":"2026-03-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146172502","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