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

Adaptive event-triggered asynchronous control for T–S fuzzy systems with two-side looped-functional method

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-04-02 DOI: 10.1016/j.jfranklin.2025.107666

Xixi Wu , Qibao Zhao , Jun Cheng , Hailing Wang , Yezhi Lin , Xinrong Yang

{"title":"Adaptive event-triggered asynchronous control for T–S fuzzy systems with two-side looped-functional method","authors":"Xixi Wu , Qibao Zhao , Jun Cheng , Hailing Wang , Yezhi Lin , Xinrong Yang","doi":"10.1016/j.jfranklin.2025.107666","DOIUrl":"10.1016/j.jfranklin.2025.107666","url":null,"abstract":"<div><div>In this paper, we discuss the event-triggered <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> control for T–S fuzzy systems with asynchronous premise variables, employing a two-side looped-functional method (TSLFM) to tackle this challenge. Firstly, we propose a fuzzy-dependent adaptive event-triggered mechanism (FDAETM) via aperiodic sampling, with the primary objective of minimizing the waste of communication resources. It is particularly noted that the FDAETM leads to asynchronous behavior between the premise variables of the fuzzy system and the controller. Secondly, to establish sufficient conditions for system stability, we introduce a TSLFM that incorporates sampling period information. Within the TSLFM framework, we make full use of the system state information from <span><math><mrow><mi>x</mi><mrow><mo>(</mo><msub><mrow><mi>t</mi></mrow><mrow><mi>c</mi></mrow></msub><mo>)</mo></mrow></mrow></math></span> to <span><math><mrow><mi>x</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> and from <span><math><mrow><mi>x</mi><mrow><mo>(</mo><mi>t</mi><mo>)</mo></mrow></mrow></math></span> to <span><math><mrow><mi>x</mi><mrow><mo>(</mo><msub><mrow><mi>t</mi></mrow><mrow><mi>c</mi><mo>+</mo><mn>1</mn></mrow></msub><mo>)</mo></mrow></mrow></math></span>, thereby deriving conditions that ensure the asymptotic stability of the system at the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> attenuation level. Compared to traditional Lyapunov functions, our proposed looped-functional method eliminates the need for positive definiteness and considers all information about the sampling interval, significantly reducing conservatism in the analysis. Finally, through two specific examples and comparative analysis, we demonstrate the effectiveness and advantages of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 8","pages":"Article 107666"},"PeriodicalIF":3.7,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143838948","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

Quantitative performance guaranteed neural adaptive cooperative tracking control of dual-arm robots

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-04-02 DOI: 10.1016/j.jfranklin.2025.107670

Hongshuai Liu , Shucai Xu , Jiafeng Song , Shuai Ma , Hongyun Jia

{"title":"Quantitative performance guaranteed neural adaptive cooperative tracking control of dual-arm robots","authors":"Hongshuai Liu , Shucai Xu , Jiafeng Song , Shuai Ma , Hongyun Jia","doi":"10.1016/j.jfranklin.2025.107670","DOIUrl":"10.1016/j.jfranklin.2025.107670","url":null,"abstract":"<div><div>To achieve high-performance control of dual-arm robots, it is essential to fully consider the overshoot, peak value, settling time, and accuracy of the tracking error. Up to now, the control performance of dual-arm robots has only realized two aspects: settling time and motion accuracy, without considering the overshoot and peak of the transient response. This paper investigates the problem of neural adaptive prescribed performance coordinated tracking control for dual-arm robots, subject to completely unknown robot and object dynamics. By using a fixed-time prescribed performance function and a shifting function, it ensures the quantifiable adjustment of overshoot, peak value, settling time, and accuracy, and guarantees the natural satisfaction of initial conditions. The unknown dynamics of the robot and object are approximated and compensated using a neural network. The stability of the dual-arm robots system and the boundedness of all internal signals are ensured by the Lyapunov method. Additionally, the internal force is ensured to be bounded and capable of minimizing the error to an arbitrary small value. Simulation comparisons have verified the effectiveness and superiority of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 7","pages":"Article 107670"},"PeriodicalIF":3.7,"publicationDate":"2025-04-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143767782","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

Dynamic event-triggering asynchronous dissipative control for discrete-time Markov jump singularly perturbed systems with hybrid cyber attacks

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.2025.107668

Deteng Wang , Yanqian Wang , Guangming Zhuang , Jian Chen

{"title":"Dynamic event-triggering asynchronous dissipative control for discrete-time Markov jump singularly perturbed systems with hybrid cyber attacks","authors":"Deteng Wang , Yanqian Wang , Guangming Zhuang , Jian Chen","doi":"10.1016/j.jfranklin.2025.107668","DOIUrl":"10.1016/j.jfranklin.2025.107668","url":null,"abstract":"<div><div>This paper addresses the issue regarding asynchronous dissipative controller for a type of discrete-time Markov jump singularly perturbed systems (MJSPSs) with hybrid cyber attacks. To further alleviate the transmission burden on the communication network, dynamic event-triggering rules are proposed. Considering the impact of both deception attacks and denial-of-service (DoS) attacks on the discussed discrete-time MJSPSs, a novel hybrid cyber attacks model is initially constructed to consolidate these two types of attacks. An asynchronous controller is well constructed considering the mode information of Markov chain is exceedingly hard to obtain. Consequently, a hidden Markov model (HMM) is proposed to formulate the asynchronous situation between modes of the original Markov chain and the constructed asynchronous controller. By constructing the Lyapunov-Krasovskii functional concerning the singular perturbation parameter (SPP), sufficient criteria of achieving stochastic stability with a specific dissipative performance for the closed-loop MJSPSs are secured. Subsequently, the design methodology of non-synchronous controller and the dynamic event-triggering rules are furnished in a systematical way. Eventually, the superiority of the proffered mechanism is demonstrated by an ameliorative DC motor mathematical model.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 8","pages":"Article 107668"},"PeriodicalIF":3.7,"publicationDate":"2025-04-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143815322","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

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

On the Hamilton–Jacobi-Bellman approach to the relaxed optimal feedback control problems

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-29 DOI: 10.1016/j.jfranklin.2025.107667

Vadim Azhmyakov , Warodom Werapun , Jakapan Suaboot

引用次数: 0

Adaptive finite-time fuzzy control for switched nonlinear systems with dead-zone inputs 具有死区输入的开关非线性系统的自适应有限时间模糊控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-29 DOI: 10.1016/j.jfranklin.2025.107669

Jinsong Gao , Haijiao Yang , Zhengxiang Xu , Kaibo Shi , Shuping He

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

Channel-wise mask learning based mixing transformer for spectral compressive imaging

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-24 DOI: 10.1016/j.jfranklin.2025.107635

Wenyu Xie , Ping Xu , Haifeng Zheng , Yian Liu

{"title":"Channel-wise mask learning based mixing transformer for spectral compressive imaging","authors":"Wenyu Xie , Ping Xu , Haifeng Zheng , Yian Liu","doi":"10.1016/j.jfranklin.2025.107635","DOIUrl":"10.1016/j.jfranklin.2025.107635","url":null,"abstract":"<div><div>Single disperser coded aperture spectral imaging (SD-CASSI) is well-known for its simple optical path that efficiently acquires spectral images. However, reconstructing hyperspectral images from their measurement scenes is an ill-posed and challenging problem. By applying deep learning methods to solve this ill-posed issue, it becomes possible to reconstruct high-quality hyperspectral images from measurement images in real time. However, mainstream models typically use an encoder–decoder structure, connecting the output of the encoder and the input of decoder only along the channels. This limits the ability of network to learn detailed image information. In addition, since the planar image sensor array causes varying wavelengths to experience different optical path differences after dispersion, the actual mask cannot be derived solely from a single known mask through different dispersion steps. To address these issues, this paper proposes a deep unfolding method called the channel-wise mask learning based mixing Transformer network (CML-MT). We design a denoising model based on window attention and a dual block, using the dual block as the decoder to fully utilize information from the encoder layers. Additionally, we introduce a channel-wise degradation mask learning module that implicitly learns to approximate the latent real mask under the constraint of multi-stage reprojection loss. Experimental results demonstrate that with these solutions, our model, extended to only three stages, is competitive with state-of-the-art models and excels in reconstructing details and textures in real-world scenarios.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 8","pages":"Article 107635"},"PeriodicalIF":3.7,"publicationDate":"2025-03-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143863836","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