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

On the application of Nussbaum function to the control of constrained nonlinear systems

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-04-01 DOI: 10.1016/j.jfranklin.2025.107655

Seyyed Ali Emami , Paolo Castaldi , Mohammad Narimani

{"title":"On the application of Nussbaum function to the control of constrained nonlinear systems","authors":"Seyyed Ali Emami , Paolo Castaldi , Mohammad Narimani","doi":"10.1016/j.jfranklin.2025.107655","DOIUrl":"10.1016/j.jfranklin.2025.107655","url":null,"abstract":"<div><div>Nussbaum functions have been widely employed in control design for dynamic systems with unknown control direction, and this approach has been extended to handle input constraints for nonlinear systems. While several studies have adopted this formulation to address system constraints in <em>generic</em> dynamic models, we demonstrate that the existing theoretical framework requires a critical, previously unstated assumption: the boundedness of the commanded control signal. This revelation has significant implications for the method’s practical applicability. Thus, it is shown that a well-known alternative to this method, i.e., the Modified Tracking Error (MTE), which necessitates the same theoretical assumptions as that of the Nussbaum function method to tackle input constraints, can be a more effective and simpler option to deal with this issue, particularly in the case of uncertain dynamic systems. We extend this analysis to systems with dead-zone nonlinearities, where the MTE method demonstrates superior performance due to its inherent compensation mechanism through the auxiliary state variable. Through extensive comparisons between these control schemes, we illustrate the limitations and capabilities of each method in the case of constrained dynamic systems. The results highlight that despite being more complicated, the Nussbaum function method does not provide advantages over the MTE approach, while the latter enables effective identification of model uncertainties even in the presence of input constraints and dead-zone nonlinearities.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 7","pages":"Article 107655"},"PeriodicalIF":3.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760937","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

2026 Bower Call

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-27 DOI: 10.1016/S0016-0032(25)00167-X

引用次数: 0

Transient performance design for vibration systems with first-order admittance networks

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-25 DOI: 10.1016/j.jfranklin.2025.107656

Tianyang Hua, Michael Z.Q. Chen, Jinsheng Sun

引用次数: 0

Improving facial emotion recognition through dataset merging and balanced training strategies 通过数据集合并和平衡训练策略提高面部情绪识别能力

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-25 DOI: 10.1016/j.jfranklin.2025.107659

Serap Kırbız

引用次数: 0

Distributed adaptive learning consensus tracking control for a class of nonlinear 2-D multi agent systems with nonrepetitive conditions

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-23 DOI: 10.1016/j.jfranklin.2025.107673

Qing-Yuan Xu , Yuan Fang , Mian Guo , Yun-Shan Wei , Kai Wan

{"title":"Distributed adaptive learning consensus tracking control for a class of nonlinear 2-D multi agent systems with nonrepetitive conditions","authors":"Qing-Yuan Xu , Yuan Fang , Mian Guo , Yun-Shan Wei , Kai Wan","doi":"10.1016/j.jfranklin.2025.107673","DOIUrl":"10.1016/j.jfranklin.2025.107673","url":null,"abstract":"<div><div>This study tackles the output consensus problem for a class of nonlinear two-dimensional (2-D) multi agent systems that do complex tasks repetitively in a finite domain via adaptive iterative learning control (ILC). The aim is to design a distributed adaptive learning consensus tracking control strategy that enables all 2-D multi agents to achieve the task of consensus tracking control under nonrepetitive conditions. An adaptive parameter, which adjusted by the tracking errors of the agent itself and the neighbor agents in the last iteration, is designed to approximate the unknown varying parameter of the nonlinear 2-D agent. Then, based on the approximated parameter and the iteration-varying reference surfaces, the distributed adaptive ILC strategy is obtained and the convergence of the output consensus tracking control is proved. In the end, simulations are presented to verify the effectiveness of the proposed distributed adaptive learning consensus tracking control for nonlinear 2-D multi agent system with nonrepetitive conditions.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 7","pages":"Article 107673"},"PeriodicalIF":3.7,"publicationDate":"2025-03-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143760945","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

Different types of Plancherel’s theorems for square integrable functions associated with quaternion offset linear canonical transforms

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-21 DOI: 10.1016/j.jfranklin.2025.107649

Manab Kundu

引用次数: 0

Reversible Data Hiding for JPEG Images Based on Point Distortion Estimation Optimization

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-21 DOI: 10.1016/j.jfranklin.2025.107657

Li Liu , Kexin Fu , Yingchun Wu , Ching-Chun Chang , Anhong Wang , Chin-Chen Chang

{"title":"Reversible Data Hiding for JPEG Images Based on Point Distortion Estimation Optimization","authors":"Li Liu , Kexin Fu , Yingchun Wu , Ching-Chun Chang , Anhong Wang , Chin-Chen Chang","doi":"10.1016/j.jfranklin.2025.107657","DOIUrl":"10.1016/j.jfranklin.2025.107657","url":null,"abstract":"<div><div>Reversible data hiding (RDH) for joint photographic experts group (JPEG) images has been extensively studied to achieve a perfect balance between image visual quality and file size increment. In this paper, we propose RDH algorithm for JPEG images, optimized through point distortion estimation (PDEO). First, we construct a PDEO model that takes into account block smoothness, quantization step, and zigzag sorting position, and then arrange each AC coefficient in ascending order according to the point distortion estimate, because preferentially embedding in the AC coefficient with less distortion can obtain better image quality. Second, we design the principle of \"pair when ±1 appears\" to makes full use of ±1 coefficients to increase the embedding capacity. Finally, the secret data is embedded into the AC coefficient pairs by using our designed 1D and 2D histogram mapping generation strategy. Experimental results demonstrate that the proposed algorithm offers superior visual image quality compared to other advanced JPEG RDH algorithms, with a smaller increase in file size and a more optimal balance in runtime complexity.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 7","pages":"Article 107657"},"PeriodicalIF":3.7,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143746351","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 control for two-time-scale networked systems under unreliable Markov networks subject to hybrid attacks

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-20 DOI: 10.1016/j.jfranklin.2025.107641

Jingjing Hou, Xiulin Wang, Youzhi Cai, Feng Li, Hao Shen

{"title":"Security control for two-time-scale networked systems under unreliable Markov networks subject to hybrid attacks","authors":"Jingjing Hou, Xiulin Wang, Youzhi Cai, Feng Li, Hao Shen","doi":"10.1016/j.jfranklin.2025.107641","DOIUrl":"10.1016/j.jfranklin.2025.107641","url":null,"abstract":"<div><div>This work addresses the security control problem of two-time-scale networked systems operating on unreliable Markov networks under hybrid attacks. Markov jump processes are employed to model the different types of network attacks that the system may encounter, thereby defining three operational modes: normal operation, deception attacks, and scaling attacks. A non-fragile control strategy is proposed to mitigate gain fluctuations resulting from unexpected errors and disturbances, which can enhance the robustness of the designed controller. A Lyapunov function with singular perturbation parameter is constructed to analyze both the system stability and <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance index, where the singular perturbation parameter characterize the dynamics associated with fast and slow time-scale variations, leading to a set of sufficient stability conditions. Finally, the validity of the proposed control method is verified via numerical simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 7","pages":"Article 107641"},"PeriodicalIF":3.7,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143683632","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

Modified Triplet-Average Deep Deterministic Policy Gradient for interpretable neuro-fuzzy deep reinforcement learning

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-20 DOI: 10.1016/j.jfranklin.2025.107653

Tuan-Linh Nguyen , Nguyen Van Thin , Sangmoon Lee

引用次数: 0

Fixed-time precision formation control of multi-AUVs with assured transient performance

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-18 DOI: 10.1016/j.jfranklin.2025.107638

Jianhui Wang , Haoyuan Wang , Yue Zhang , C.L. Philip Chen , Zhi Liu , Chunliang Zhang

{"title":"Fixed-time precision formation control of multi-AUVs with assured transient performance","authors":"Jianhui Wang , Haoyuan Wang , Yue Zhang , C.L. Philip Chen , Zhi Liu , Chunliang Zhang","doi":"10.1016/j.jfranklin.2025.107638","DOIUrl":"10.1016/j.jfranklin.2025.107638","url":null,"abstract":"<div><div>A rapid and stable dimensional augmented state observer (RSDASO), employing an event-driven control strategy, is proposed to tackle the challenges of trajectory-tracking formation control for multiple autonomous underwater vehicles (AUVs). This approach addresses state constraints, unmeasurable states, model uncertainties, limited communication resources, and unknown external time-varying disturbances. The initial phase involves developing a RSDASO to estimate superimposed disturbances and unmeasurable states within the system, ensuring that the estimation error converges within a fixed time. Subsequently, a smoothly decreasing performance function is integrated into the controller design using the observer and an adaptive fixed-time filter. This approach ensures that the system error converges in fixed time, preventing a ”computational explosion” while maintaining the transient performance of the system. Additionally, an event-triggered mechanism (ETM) is incorporated to mitigate the communication resource burden on the system. Finally, simulation experiments validate the efficacy of the proposed control strategy.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 7","pages":"Article 107638"},"PeriodicalIF":3.7,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143683635","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