Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第2页

Blind source separation using novel independence interpretations for bounded support random vector 基于有界支持随机向量独立解释的盲源分离

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-25 DOI: 10.1016/j.jfranklin.2025.107819

Bhaveshkumar C. Dharmani , Suman Kumar Mitra , Ayanendranath Basu

{"title":"Blind source separation using novel independence interpretations for bounded support random vector","authors":"Bhaveshkumar C. Dharmani , Suman Kumar Mitra , Ayanendranath Basu","doi":"10.1016/j.jfranklin.2025.107819","DOIUrl":"10.1016/j.jfranklin.2025.107819","url":null,"abstract":"<div><div>Amidst the various existing<em>contrast</em>s for <em>Independent Component Analysis</em> (ICA) and <em>Blind Source Separation</em> (BSS), there remains a demand for a contrast that provides higher accuracy with low computational cost – even when large scale – while remaining unbiased to a particular distribution and robust against outliers and varying sample sizes. Towards this demand, the current article first derives some novel interpretations of statistical independence for bounded support random vectors and then uses those interpretations to develop new class of BSS <em>contrast</em>s. Among them, the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm based <em>contrast</em>s are proved to be robust and estimated directly, in a single stage, using closed-form expressions provided by kernel based linear least squares method. The estimations also serve to extend the existing analogy between <em>Information Theory</em> and <em>Potential Field Theory</em> by introducing a concept of reference information potential. The article uses Genetic Algorithm (GA) and its’ newly derived variant, which is computationally more efficient at higher dimensions, as a global optimization technique within Search for Rotation based ICA (SRICA) algorithm framework. Overall, the simulations prove that the proposed BSS solutions combining the newly derived <em>contrast</em>s with the GA variant for optimization, achieve better separation quality even at large scale and with fewer samples. Furthermore, they remain blind against the distribution of source signals, are robust against outliers, able to avoid misconvergence at local optima, and offer greater accuracy with lower computational cost compared to even exhaustive search methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107819"},"PeriodicalIF":3.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144501381","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

Robust transceiver beamforming scheme for multi-UAV-enabled integrated sensing and communication systems 多无人机集成传感与通信系统的鲁棒收发器波束形成方案

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-24 DOI: 10.1016/j.jfranklin.2025.107818

Zitong Wang, Zining Wang, Changfeng Ding, Jian Ouyang, Min Lin

{"title":"Robust transceiver beamforming scheme for multi-UAV-enabled integrated sensing and communication systems","authors":"Zitong Wang, Zining Wang, Changfeng Ding, Jian Ouyang, Min Lin","doi":"10.1016/j.jfranklin.2025.107818","DOIUrl":"10.1016/j.jfranklin.2025.107818","url":null,"abstract":"<div><div>Driven by the various sensing demands, integrated sensing and communication (ISAC) is considered as a promising technique in further wireless network. In this paper, we propose a robust transceiver beamforming scheme for multiple unmanned-aerial vehicles (UAVs)-enabled ISAC system to enhance both communication and radar sensing performance. Here, each UAV communicates with the base station (BS) and performs radar sensing for one target in the presence of multiple clutters. In particular, to guarantee robustness against channel uncertainty, we employ the imperfect channel state information (CSI) and formulate a joint optimization problem to maximize the minimal achievable rate of UAVs, subject to the constraints of the signal-to-clutter plus interference and noise ratio requirement and the UAV transmit power budget. To handle the impact of channel uncertainty, we leverage the triangle inequality and Kronecker product properties to transform the worst-case constraints into tractable forms, ensuring robustness against CSI errors. Then, we propose an alternating optimization framework based on semidefinite programming to iteratively optimize transceiver beamformers. Numerical results are provided to demonstrate the robustness and effectiveness of the proposed joint optimization scheme in terms of achievable rate performance.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107818"},"PeriodicalIF":3.7,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518165","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

Quantification stochastic configuration networks with incremental encoding 用增量编码量化随机构型网络

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-24 DOI: 10.1016/j.jfranklin.2025.107817

Wei Wang , Shujiang Li , Wei Fu

引用次数: 0

Distributed set-membership filtering with error-based dynamic transmission and power allocation-dependent packet loss 基于错误的动态传输和功率分配相关丢包的分布式集成员过滤

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-24 DOI: 10.1016/j.jfranklin.2025.107801

Yuru Guo, Yi Zhong, Zitian Li, Hui Peng, Yong Xu

{"title":"Distributed set-membership filtering with error-based dynamic transmission and power allocation-dependent packet loss","authors":"Yuru Guo, Yi Zhong, Zitian Li, Hui Peng, Yong Xu","doi":"10.1016/j.jfranklin.2025.107801","DOIUrl":"10.1016/j.jfranklin.2025.107801","url":null,"abstract":"<div><div>Network resource constraint is significant challenge in wireless sensor networks, making it difficult to obtain accurate state information. Currently, two main transmission protocols, Round-Robin and Try-Once-Discard, are used to address this issue. However, these protocols only allow one sensor to transmit at a time, which limits their ability to fully capture relevant system information and often results in conservative performance. To overcome these limitations, an error-based dynamic transmission strategy is proposed for distributed sensor networks. This strategy uses a double selection principle to more accurately identify signals worth transmitting by comparing error differences. The selected sensor data is then packaged and transmitted over the wireless network to other sensor nodes. A power allocation-dependent packet loss model is developed, which takes into account the varying packet lengths resulting from the scheduling protocol. Based on this, a sufficient condition is established to ensure that the filtering error remains within ellipsoidal constraints. Simulation results demonstrate that the proposed transmission strategy offers superior filtering performance compared to traditional method. Additionally, this strategy reduces power consumption by an average of 47% over 20 transmission steps compared to the full transmission approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107801"},"PeriodicalIF":3.7,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470492","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

Self-triggered distributed economic MPC for asynchronous vehicle platoon with communication delays and external disturbances 具有通信延迟和外部干扰的异步车辆排自触发分布式经济MPC

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-23 DOI: 10.1016/j.jfranklin.2025.107803

Maode Yan , Changyang Deng , Lei Zuo , Lingbo Li

{"title":"Self-triggered distributed economic MPC for asynchronous vehicle platoon with communication delays and external disturbances","authors":"Maode Yan , Changyang Deng , Lei Zuo , Lingbo Li","doi":"10.1016/j.jfranklin.2025.107803","DOIUrl":"10.1016/j.jfranklin.2025.107803","url":null,"abstract":"<div><div>This paper investigates the asynchronous vehicle platoon control problems with communication delays and external disturbances, in which fuel economy and communication resources are taken into consideration. To address these challenges, a self-triggered distributed economic model predictive control (SDEMPC) algorithm with a distributed disturbance observer is proposed for the platoon system. First, a distributed disturbance observer is introduced to actively alleviate the negative effects of disturbances. To ensure adherence to physical constraints, a tightened control input constraint is derived from disturbance estimation information. Next, a dual-layer optimization problem with robustness and tracking stability constraints is formulated for the disturbance-compensated platoon system. On this basis, the fuel economy can be improved while achieving the desired platoon formation. Then, an asynchronous self-triggered scheduler with a lengthened sequence strategy is designed to effectively reduce communication frequency and coordinate asynchronous communication with delays between vehicles. Subsequently, the recursive feasibility of the proposed algorithm and the closed-loop stability of the platoon system are strictly analyzed. Finally, numerical simulations are presented to verify the effectiveness of the proposed algorithm.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107803"},"PeriodicalIF":3.7,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144481549","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

Learning economic model predictive control via clustering and kernel-based Lipschitz regression 通过聚类和基于核的Lipschitz回归学习经济模型预测控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-21 DOI: 10.1016/j.jfranklin.2025.107787

Weiliang Xiong , Defeng He , Haiping Du

{"title":"Learning economic model predictive control via clustering and kernel-based Lipschitz regression","authors":"Weiliang Xiong , Defeng He , Haiping Du","doi":"10.1016/j.jfranklin.2025.107787","DOIUrl":"10.1016/j.jfranklin.2025.107787","url":null,"abstract":"<div><div>This paper presents a novel learning economic model predictive control scheme for uncertain nonlinear systems subject to input and state constraints and unknown dynamics. We design a fast and accurate Lipschitz regression method using input and output data that combines clustering and kernel regression to learn the unknown dynamics. In each cluster, the parallel convex optimization problems are solved to estimate the kernel weights and reduce the Lipschitz constant of the predictor, hence limiting the error propagation in the prediction horizon. We derive two different bounds of learning errors in deterministic and probabilistic forms and customize a new robust constraint-tightening strategy for the discontinuous predictor. Then, the learning economic model predictive control algorithm is formulated by introducing a stabilized optimization problem to construct a Lyapunov function. Sufficient conditions are derived to ensure the recursive feasibility and input-to-state stability of the closed-loop system. The effectiveness of the proposed algorithm is verified by simulations of a numerical example and a continuously stirred tank reactor.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107787"},"PeriodicalIF":3.7,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144366635","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 novel robust filter for non-stationary systems with stochastic measurement loss probabilities 具有随机测量损失概率的非平稳系统鲁棒滤波器

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-21 DOI: 10.1016/j.jfranklin.2025.107795

Shen Liang , Jian Sun , GuoLiang Xu

{"title":"A novel robust filter for non-stationary systems with stochastic measurement loss probabilities","authors":"Shen Liang , Jian Sun , GuoLiang Xu","doi":"10.1016/j.jfranklin.2025.107795","DOIUrl":"10.1016/j.jfranklin.2025.107795","url":null,"abstract":"<div><div>This paper introduces an innovative variational Bayesian Kalman filtering method to tackle the filtering challenges posed by stochastic measurement losses and heavy-tailed noise in non-stationary linear systems. The non-stationary heavy-tailed noise is represented by a Bernoulli random variable that combines a Gaussian distribution with a heavy-tailed distribution. The Gaussian distribution has a high probability and nominal covariance, while the heavy-tailed distribution has a low probability and a covariance that can adapt to different situations. The Undisclosed nominal covariance is assumed to adhere to the distribution characteristics of the inverse Wishart. To construct a hierarchical Gaussian state space model, the measurement probability function is reshaped into an exponential product form through the utilization of extra Bernoulli random variable. Ultimately, the variational Bayesian technique is utilized to estimate the unknown random variables jointly. Simulation results show that the proposed algorithm has significant improvement in both filtering accuracy and measurement loss probability estimation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107795"},"PeriodicalIF":3.7,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144501380","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 variable step size bias-compensated affine projection algorithm with noisy inputs 带噪声输入的变步长偏置补偿仿射投影算法

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-21 DOI: 10.1016/j.jfranklin.2025.107792

Chan Park, Seung Hyun Ryu, PooGyeon Park

引用次数: 0

An application of Generalized Fuzzy Hyperbolic Model for solving fuzzy optimal control problems under granular differentiability 广义模糊双曲模型在求解颗粒可微模糊最优控制问题中的应用

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-21 DOI: 10.1016/j.jfranklin.2025.107783

Aneseh Kazemi, Alireza Nazemi

{"title":"An application of Generalized Fuzzy Hyperbolic Model for solving fuzzy optimal control problems under granular differentiability","authors":"Aneseh Kazemi, Alireza Nazemi","doi":"10.1016/j.jfranklin.2025.107783","DOIUrl":"10.1016/j.jfranklin.2025.107783","url":null,"abstract":"<div><div>The nature of real-world phenomena are often imprecision and vagueness, i.e., there is always a need to take into consideration the uncertainty factors when modeling real-world phenomena. In this paper, a generalized fuzzy hyperbolic model is employed for solving fuzzy optimal control problems, under the granular differentiability concept. Due to the characteristics of fewer identification parameters, GFHM can simplify the complexity of traditional ship fuzzy models. At the first step, we consider the granular Euler–Lagrange conditions for fuzzy variational problems and Pontryagin’s maximum principle for fixed and free final states of fuzzy optimal control problems, based on the ideas of horizontal membership function and granular differentiability via the calculus of variations. The necessary optimality conditions for these problems are derived in the form of two-point boundary value problems. Here, for the first time, generalized fuzzy hyperbolic models are used to approximate the solutions of the related two-point boundary value problems. This fuzzy hyperbolic models uses of the number of sample points as the training dataset, and the Levenberg–Marquardt algorithm is selected as the optimizer. By relying on the ability of the generalized fuzzy hyperbolic models as function approximator, the fuzzy solutions of variables are substituted in the related two-point boundary value problem. The obtained algebraic nonlinear equations system is then reduced into an error function minimization problem. A learning scheme based on the Levenberg–Marquardt algorithm is employed as the optimizer to derive the adjustable parameters of fuzzy solutions. In order to clarify the effectiveness of the studied approach, some numerical results are supplied.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107783"},"PeriodicalIF":3.7,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470495","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

Digital implementation of the supertwisting controller based on the deadbeat method 基于无差拍法的超捻控制器的数字化实现

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-21 DOI: 10.1016/j.jfranklin.2025.107785

Mohammad Rasool Mojallizadeh

{"title":"Digital implementation of the supertwisting controller based on the deadbeat method","authors":"Mohammad Rasool Mojallizadeh","doi":"10.1016/j.jfranklin.2025.107785","DOIUrl":"10.1016/j.jfranklin.2025.107785","url":null,"abstract":"<div><div>The deadbeat method is developed in this paper to realize a chattering-free implementation of the supertwisting controller while keeping its important properties such as convergence rate, and robustness to uncertainties, disturbances, and measurement noise. The deadbeat implementation leads to a finite-time convergence of the discrete-time supertwisting algorithm without exceeding the control effort compared to the original supertwisting controller in the continuous-time domain. Several properties of the implemented supertwisting controller based on the proposed method are investigated analytically and validated based on numerical experiments including the chattering treatment, convergence rate, disturbance attenuation, and convergence in the presence of parametric uncertainty and measurement noise. The comparison of the developed method to the recently trending implicit discretization indicates a more straightforward realization without requiring to take into account the setvalued terms or solving generalized equations, which may not be possible for all sliding-mode algorithms.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107785"},"PeriodicalIF":3.7,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144366735","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