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

Task allocation for UAV swarms under communication attacks: An approach based on game theory and negotiation mechanism

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-28 DOI: 10.1016/j.jfranklin.2024.107417

Danqing Shen , Xiaoming Chen , Wenhai Qi , Lisha Meng

{"title":"Task allocation for UAV swarms under communication attacks: An approach based on game theory and negotiation mechanism","authors":"Danqing Shen , Xiaoming Chen , Wenhai Qi , Lisha Meng","doi":"10.1016/j.jfranklin.2024.107417","DOIUrl":"10.1016/j.jfranklin.2024.107417","url":null,"abstract":"<div><div>This research delves into the method of task allocation for Unmanned Aerial Vehicle (UAV) swarms utilizing game theory and negotiation mechanisms in the face of communication network disruptions. Initially, a UAV swarm topology network characterized by a scale-free structure is established. Within this network, specific nodes undergo a single, deliberate batch attack. To address this, an edge-compensation strategy is formulated for network restoration, aiming to reinstate network connectivity to an optimal level. Subsequently, an algorithm is developed, integrating a bi-directional selection negotiation mechanism and coalition game theory, to determine the initial coalition for UAV task allocation. Following this, a traversal algorithm is employed to optimize the initial coalition, ultimately yielding the final task allocation coalition result. This methodology proves effective in repairing the topology network of UAV swarms during attack conditions, leading to the derivation of an optimal UAV allocation scheme that enhances the success rate of task allocations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107417"},"PeriodicalIF":3.7,"publicationDate":"2024-11-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757206","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

Stabilizing bit rate conditions of linear systems under DoS attacks without acknowledgments

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-26 DOI: 10.1016/j.jfranklin.2024.107416

Yuan Liu, Qiang Ling

{"title":"Stabilizing bit rate conditions of linear systems under DoS attacks without acknowledgments","authors":"Yuan Liu, Qiang Ling","doi":"10.1016/j.jfranklin.2024.107416","DOIUrl":"10.1016/j.jfranklin.2024.107416","url":null,"abstract":"<div><div>This paper is concerned with the quantized stabilization of linear systems under denial-of-service (DoS) attacks. In particular, we investigate the systems without acknowledgment (ACK) signals from the decoder to the encoder. Moreover, the concerned systems are also subject to transmission delay and bounded process noise. The major challenge of the quantized control strategy design lies in the absence of ACKs, which may break the synchronization between the encoder and decoder. This challenge is addressed by a novel control strategy under which redundant symbols are encoded and transmitted after sampling. Large transmission delay can be tackled by our strategy as long as more bit rates are used. To further save communication bandwidth, event-triggered sampling is applied. We derive sufficient bit rate conditions for the input-to-state stability (ISS) of the system, which depends on the unstable eigenvalues of the system, the transmission delay, and the DoS parameters. Moreover, we give the DoS conditions under which the derived stabilizing bit rate conditions can be lower than the minimum bit rate condition for systems under periodic sampling with ACKs. A numerical example is given to verify our results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107416"},"PeriodicalIF":3.7,"publicationDate":"2024-11-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142748165","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

Nussbaum function based unified event-triggered asymptotic tracking control for uncertain interconnected nonlinear systems with or without state constraints 基于努斯鲍姆函数的统一事件触发渐近跟踪控制，适用于有或无状态约束的不确定互联非线性系统

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-23 DOI: 10.1016/j.jfranklin.2024.107415

Haibin Sun , Chang Song , Dong Yang , Linlin Hou , Ticao Jiao

{"title":"Nussbaum function based unified event-triggered asymptotic tracking control for uncertain interconnected nonlinear systems with or without state constraints","authors":"Haibin Sun , Chang Song , Dong Yang , Linlin Hou , Ticao Jiao","doi":"10.1016/j.jfranklin.2024.107415","DOIUrl":"10.1016/j.jfranklin.2024.107415","url":null,"abstract":"<div><div>The study investigates Nussbaum function based adaptive decentralized asymptotic tracking control for a class of interconnected nonlinear systems with or without state constraints. First, to simultaneously deal with both constrained and unconstrained systems, a unified nonlinear transformation function is developed. Second, the Nussbaum gain technique is employed to address the challenge of unknown control direction. An adaptive decentralized controller is then designed using backstepping and neural network techniques. Third, to reduce communication resources an event-triggering mechanism based on system states and constraint boundaries is incorporated. Theoretical analysis shows that all signals in the closed-loop system remain bounded, while the tracking error asymptotically converges to zero. Additionally, the Zeno phenomenon is proven to be avoided. Finally, the effectiveness of the proposed approach is validated through a simulation example.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107415"},"PeriodicalIF":3.7,"publicationDate":"2024-11-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142720061","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

Prescribed-time event-triggered control of multi-agent systems based on continuous scaling function 基于连续缩放函数的多代理系统的规定时间事件触发控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-22 DOI: 10.1016/j.jfranklin.2024.107399

Zhicheng Hou , Jingcai Zhang , Zhikang Zhou , Zhiping Tan , Weijun Wang , Jian Wang , Yu Tang

引用次数: 0

Event-triggered consensus adaptive filters for target localization

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-22 DOI: 10.1016/j.jfranklin.2024.107413

Chen Peng, Bo Deng, Siyu Xie

{"title":"Event-triggered consensus adaptive filters for target localization","authors":"Chen Peng, Bo Deng, Siyu Xie","doi":"10.1016/j.jfranklin.2024.107413","DOIUrl":"10.1016/j.jfranklin.2024.107413","url":null,"abstract":"<div><div>Distributed filters show strong robustness by using certain resources of communications and calculations to collaboratively estimate or track an unknown dynamic process of interest over a sensor network. In this paper, an event-triggered mechanism (ETM) is introduced for least mean square (LMS)-based consensus adaptive filters to deal with applications with communication resource constraints. An upper bound of the estimation errors for the proposed event-triggered consensus adaptive filters is established under a cooperative information condition without independent or stationary signal assumptions. To verify the effectiveness and resource saving properties of the proposed event-triggered consensus LMS-based filters, numerical simulations for target localization using bearing-only measurements of multiple unmanned aerial vehicles are provided. It is proved that the ETM provides settable thresholds to artificially adjust the proportions between the estimation accuracy and the resource consumption. Finally, experimental results are given to further show the performance and applicability of the proposed algorithm in practical engineering.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107413"},"PeriodicalIF":3.7,"publicationDate":"2024-11-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142748166","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

Movement control based on model predictive control using Kalman filter for known and unknown noise covariance matrices 使用卡尔曼滤波器对已知和未知噪声协方差矩阵进行基于模型预测控制的运动控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-21 DOI: 10.1016/j.jfranklin.2024.107411

Jiahui Zhang, Xinmin Song, Lei Tan

引用次数: 0

On event-triggered ADRC for uncertain systems: Framework, design and analysis 不确定系统的事件触发 ADRC：框架、设计与分析

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-20 DOI: 10.1016/j.jfranklin.2024.107409

Guojie Tang , Wenchao Xue , Xiaodong Lu , Yanlong Zhao

{"title":"On event-triggered ADRC for uncertain systems: Framework, design and analysis","authors":"Guojie Tang , Wenchao Xue , Xiaodong Lu , Yanlong Zhao","doi":"10.1016/j.jfranklin.2024.107409","DOIUrl":"10.1016/j.jfranklin.2024.107409","url":null,"abstract":"<div><div>In this paper, we propose a composite framework that combines active disturbance rejection control (ADRC) and event-triggered mechanism (ETM) to address the signal-tracking problem in uncertain systems while reducing communication resource consumption. The framework, referred to as event-triggered ADRC (ET-ADRC), utilizes independent ETMs for the sensor and controller, allowing for effective handling of uncertainties while conserving communication resources. Two variants of ET-ADRC are explored: one based on a static event-triggered mechanism and another on a dynamic event-triggered mechanism. For the static ET-ADRC framework, we provide a rigorous proof of the closed-loop system’s stability and analyze the impact of ETMs on control performance. Additionally, we demonstrate that the proposed method effectively prevents Zeno behavior. Similarly, for the dynamic ET-ADRC framework, we establish results regarding closed-loop system stability, the influence of ETMs on control performance, and the avoidance of Zeno behavior. Notably, we show that by adjusting one of the dynamic event-triggered mechanism parameters, the decoupling of trigger frequency and closed-loop performance can be realized.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107409"},"PeriodicalIF":3.7,"publicationDate":"2024-11-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142720059","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 control of heterogeneous multi-agent systems based on multi-order neighbors’ information 基于多阶邻居信息的异构多代理系统的动态事件触发控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-19 DOI: 10.1016/j.jfranklin.2024.107407

Mei Yu, Yunzhu Guo

引用次数: 0

New results on improper (weakly) strictly positive real systems

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-19 DOI: 10.1016/j.jfranklin.2024.107408

Mojtaba Hakimi-Moghaddam , Augusto Ferrante

{"title":"New results on improper (weakly) strictly positive real systems","authors":"Mojtaba Hakimi-Moghaddam , Augusto Ferrante","doi":"10.1016/j.jfranklin.2024.107408","DOIUrl":"10.1016/j.jfranklin.2024.107408","url":null,"abstract":"<div><div>In this article we consider the class of rational positive real transfer matrices without any properness assumption. In this setting we establish a high frequency condition that is necessary and sufficient for weakly strictly positive real transfer matrices to be strictly positive real. This is an important problem that has been addressed in several previous works in the literature. So far, however, the large majority of results are limited to the case of proper transfer matrices and very little attention has been devoted to the general case of possibly improper transfer matrices. The latter is of great interest both because the impedance matrix of a passive multi-port electrical network may be improper and because PID controllers are frequently improper and positive real. This paper gives a contribution in this specific area by providing a high frequency condition holding for improper transfer matrices.</div><div>We complete our analysis of possibly improper positive real transfer matrices by establishing that weakly strictly positive realness is invariant under inversion as much as (strictly) positive realness. Finally, we present a key relationship that enable us to generate a sequence of weakly strictly positive real transfer matrices such that the smaller eigenvalue of the corresponding spectral densities exhibits high-frequency behavior that converges to zero faster and faster.</div><div>Some illustrative examples are provided to support the results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107408"},"PeriodicalIF":3.7,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142757287","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

Exponential stability of fractional-order asynchronous switched impulsive systems with time delay and mode-dependent parameter uncertainty

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-11-19 DOI: 10.1016/j.jfranklin.2024.107406

Jinsen Zhang, Xiaobing Nie

{"title":"Exponential stability of fractional-order asynchronous switched impulsive systems with time delay and mode-dependent parameter uncertainty","authors":"Jinsen Zhang, Xiaobing Nie","doi":"10.1016/j.jfranklin.2024.107406","DOIUrl":"10.1016/j.jfranklin.2024.107406","url":null,"abstract":"<div><div>Distinguished from asymptotic stability or Mittag–Leffler stability of fractional-order synchronous switched impulsive systems, the exponential stability, implying explicit and faster convergence rate, is investigated in this paper for the fractional-order asynchronous switched impulsive systems with time delay and mode-dependent parameter uncertainty, where the addressed impulsive functions depend on not only switching modes but also impulsive sequences. Some novel criteria are developed via fractional differential delayed inequalities and LMIs technique, as well as the methods of induction and Lyapunov function, which establish a connection between fractional order, impulsive interval, impulsive function, time delay and average dwell time. In addition, our results extend the ones of fractional-order synchronous switched impulsive systems, and fractional-order asynchronous switched impulsive systems without time delay, which include the exponential stability of integer-order asynchronous switched impulsive systems with time delay as a special case. Finally, four numerical examples are presented to testify the theoretical achievements.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107406"},"PeriodicalIF":3.7,"publicationDate":"2024-11-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142748164","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