Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第10页

Particle filtering for nonlinear cyber–physical systems under Round-Robin protocol: Handling complex sensor issues and non-Gaussian noise

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107507

Beiyuan Li, Juan Li, Peng Lou, Lihong Rong, Ziyang Wang, Haitao Xiong

{"title":"Particle filtering for nonlinear cyber–physical systems under Round-Robin protocol: Handling complex sensor issues and non-Gaussian noise","authors":"Beiyuan Li, Juan Li, Peng Lou, Lihong Rong, Ziyang Wang, Haitao Xiong","doi":"10.1016/j.jfranklin.2025.107507","DOIUrl":"10.1016/j.jfranklin.2025.107507","url":null,"abstract":"<div><div>This paper proposes particle filtering for state estimation considering Round-Robin protocol for discrete-time nonlinear cyber–physical systems with non-Gaussian noise affecting the channels and multiple complex sensor phenomena, including missing measurements (MMs) and randomly occurring sensor saturations (ROSSs). A novel energy harvesting sensor is applied to ensure uninterrupted measurement transmission, and a simplified energy-transfer recursive algorithm is proposed to further calculate the measurement transmission probability of energy harvesting sensors. In addition, considering actual engineering scenarios, two sequences of Bernoulli-distributed random variables with known probability distributions are employed to describe the characteristics of MMs and ROSSs. During the design process of the filtering scheme, we construct a modified likelihood function to compensate for the impact of MMs, ROSSs, and energy harvesting sensors in cyber–physical systems. Subsequently, based on the mathematical characterisation of the likelihood function, we propose a particle filtering algorithm that can address the difficulty in obtaining the likelihood function when MMs and ROSSs occur simultaneously. Finally, the usefulness of the proposed particle filtering method is validated using two tracking examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107507"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136961","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

Iterative learning based fault estimation for stochastic systems with variable pass lengths and data dropouts

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107550

Jiantao Shi, Shaodong Gu, Jiawen Tang, Wenli Zhang, Chuang Chen, Dongdong Yue

引用次数: 0

Identification of linear parameter-varying system with missing measurement data and outliers

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107547

Xiang Chen, Xiaogang Wang, Fei Liu

引用次数: 0

Performance constrained trajectory tracking control for free-flying flexible-joint space robots based on adaptive sliding mode disturbance observer

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107524

Dingfeng Gao, Xiutao Gu, Liaoxue Liu, Yu Guo

{"title":"Performance constrained trajectory tracking control for free-flying flexible-joint space robots based on adaptive sliding mode disturbance observer","authors":"Dingfeng Gao, Xiutao Gu, Liaoxue Liu, Yu Guo","doi":"10.1016/j.jfranklin.2025.107524","DOIUrl":"10.1016/j.jfranklin.2025.107524","url":null,"abstract":"<div><div>Aiming at the trajectory tracking control with performance constraints and actuator saturation for free-flying flexible-joint space robots (FFSR) under uncertain external disturbance. In the framework of the command filter backstepping method, a composite controller combining tan-type barrier Lyapunov function (TBLF) and anticipatory activation anti-saturation (AAA) is proposed. A finite-time prescribed performance function (FPPF) is developed to improve the transient performances of trajectory tracking. In addition, an adaptive sliding mode disturbance observer (ASMDO) is designed to estimate the uncertain external disturbance, with a novel log-type barrier function based adaptive control law (LBFACL) to prevent successive monotonic increases in gain and mitigate the risk of gain tending to infinity at the regional boundary. The simulation results show that the trajectory tracking performance of FFSR system under the designed control scheme has fast convergence speed and high accuracy.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107524"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143348298","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

Distributed event-triggered adaptive fuzzy finite-time control for multiple QUAVs with time-varying state constraints

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2024.107505

Changhui Wang, Yihao Wang, Mei Liang, Yibao Chen

引用次数: 0

Color image watermarking scheme based on singular value decomposition of split quaternion matrices

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107508

Gang Wang , Tongsong Jiang , Dong Zhang , V.I. Vasil’ev

{"title":"Color image watermarking scheme based on singular value decomposition of split quaternion matrices","authors":"Gang Wang , Tongsong Jiang , Dong Zhang , V.I. Vasil’ev","doi":"10.1016/j.jfranklin.2025.107508","DOIUrl":"10.1016/j.jfranklin.2025.107508","url":null,"abstract":"<div><div>As digital media increasingly faces copyright threats, robust protection schemes are crucial. While gray-scale watermarking techniques are well-developed, color watermarking problems require more advanced solutions due to the complex spectral relationships among RGB channels. This paper introduces a novel color watermarking scheme based on the split quaternion matrix model, a 4D algebraic structure that preserves the linear spectral relationships among RGB channels, enhances computational efficiency, and improves color image processing. Watermark embedding employs a double split quaternion singular value decomposition (SVDSQ) process. The host image is divided into patches, and dominant singular values are extracted from each patch using SVDSQ. These values are assembled into a matrix, which undergoes a second SVDSQ to embed the watermark. This dual-layered method enhances the adaptability of the watermark embedding payload. Experimental results show that, under the same experimental conditions, our watermarking scheme demonstrates strong robustness against noise and geometric attacks, while maintaining a high peak signal-to-noise ratio (PSNR <span><math><mo>≥</mo></math></span> 35), compared to recent watermarking schemes. Despite introducing real part redundancy and requiring prior information for the watermark extraction, this approach advances color image processing using split quaternion matrices. Future work will focus on addressing these limitations and exploring new applications.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107508"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136966","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

Fuzzy control for Markov singularly perturbed systems with dynamic-probabilistic event-triggered mechanism

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107514

Xiaoke Tang , Yunliang Wang , Jun Cheng , Dan Zhang , Wenhai Qi

引用次数: 0

Dynamic regret for decentralized online bandit gradient descent with local steps

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107530

Honglei Liu, Baoyong Zhang, Deming Yuan

{"title":"Dynamic regret for decentralized online bandit gradient descent with local steps","authors":"Honglei Liu, Baoyong Zhang, Deming Yuan","doi":"10.1016/j.jfranklin.2025.107530","DOIUrl":"10.1016/j.jfranklin.2025.107530","url":null,"abstract":"<div><div>In this paper, we focus on a decentralized online convex optimization problem over a multi-agent system, where each agent is equipped with a time-varying objective function. To handle the communication bottleneck and reduce the communication costs, we consider the method of local steps, where the agents communicate with their neighbors after performing local gradient descent steps. Under bandit feedback, we develop the Local-Decentralized Online Bandit Gradient Descent (Local-DOBGD) algorithm, which combines local steps and gradient descent. The performance of the developed algorithm is analyzed and the dynamic regret bound <span><math><mrow><mi>O</mi><mfenced><mrow><msqrt><mrow><mi>T</mi><mrow><mo>(</mo><mn>1</mn><mo>+</mo><msub><mrow><mi>P</mi></mrow><mrow><mi>T</mi></mrow></msub><mo>)</mo></mrow></mrow></msqrt></mrow></mfenced></mrow></math></span> is obtained, which is concerned with time horizon <span><math><mi>T</mi></math></span> and path-length <span><math><msub><mrow><mi>P</mi></mrow><mrow><mi>T</mi></mrow></msub></math></span>. Finally, we provide a numerical example to verify the effectiveness of the Local-DOBGD algorithm.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107530"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143145430","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-triggered optimal critic-only control strategy for nonlinear systems based on state observer

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107519

Yuhui Fu, Yuan Fan

{"title":"Dynamic event-triggered optimal critic-only control strategy for nonlinear systems based on state observer","authors":"Yuhui Fu, Yuan Fan","doi":"10.1016/j.jfranklin.2025.107519","DOIUrl":"10.1016/j.jfranklin.2025.107519","url":null,"abstract":"<div><div>This paper develops a dynamic event-triggered optimal control method based on a critic neural network (CNN) for nonlinear continuous-time (CT) systems with a state observer. Firstly, a discounted cost function is introduced to solve the optimal problem of the nonlinear systems, and the related optimal performance index function and a Hamilton–Jacobi–Bellman (HJB) equation are established to obtain the optimal control law. Then, to reduce communication burdens, a dynamic event-triggered control (DETC) method is defined by adding an additional dynamic variable on the basis of the traditional event-triggered control (ETC) method to keep the aperiodic update of the systems, and the stability of the systems based on these two methods are proved, respectively. Moreover, to approximate the optimal solution of the HJB equation, a CNN is utilized to approximate the optimal performance index function and tune its weight by the gradient descent approach. By the Lyapunov method, the uniform ultimate boundedness (UUB) of the closed-loop systems is proved, while also excluding Zeno behavior. Finally, the effectiveness of the proposed optimal control strategy is verified by two simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107519"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143146028","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

Distributed state-saturation secure filtering under Round-Robin protocol and deception attacks

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107529

Fang Zhao , Bo Wu , Xisheng Zhan , Lingli Cheng , Huaicheng Yan

{"title":"Distributed state-saturation secure filtering under Round-Robin protocol and deception attacks","authors":"Fang Zhao , Bo Wu , Xisheng Zhan , Lingli Cheng , Huaicheng Yan","doi":"10.1016/j.jfranklin.2025.107529","DOIUrl":"10.1016/j.jfranklin.2025.107529","url":null,"abstract":"<div><div>The distributed secure filtering issue is concerned for discrete time-varying systems with state-saturation constraints subjected to both deception attacks and Round-Robin (RR) protocol over sensor networks in this paper. Firstly, the phenomenon of state-saturation, a prevalent issue encountered in real-world projects, is considered in this paper. In order to reduce the burden on the network, the RR protocol is introduced to determine which sensor node is connected to the network at each transmission moment. Subsequently, the randomness of the occurrence of deception attacks is modeled in this paper, with each event being assigned a specific probability through the utilization of a series of Bernoulli-distributed white sequences. Next, a sufficient condition for the expectation filter to satisfy the prediction error variance requirement is obtained based on the recursive linear matrix inequality (RLMI) method. Based on this, an optimization problem is created to find the filtering parameters that guarantee locally optimal filtering performance at every moment. Ultimately, the efficacy of the proposed algorithm is substantiated through a series of illustrative simulation scenarios.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107529"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143145432","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