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

Distributed fault-tolerant consensus for two-time-scale multiagent systems against multiple faults and random attacks via a generalized two-step transmission mechanism

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-13 DOI: 10.1016/j.jfranklin.2025.107640

Qing Hao , Mengzhuo Luo , Jun Cheng , Kaibo Shi

{"title":"Distributed fault-tolerant consensus for two-time-scale multiagent systems against multiple faults and random attacks via a generalized two-step transmission mechanism","authors":"Qing Hao , Mengzhuo Luo , Jun Cheng , Kaibo Shi","doi":"10.1016/j.jfranklin.2025.107640","DOIUrl":"10.1016/j.jfranklin.2025.107640","url":null,"abstract":"<div><div>This paper delves into an event-based two-step transmission mechanism (TSTM) within multi-agent systems (MASs), particularly addressing the consensus control challenges posed by cyber–physical threats (CPTs). Firstly, to bolster the security and reliability of MASs in the face of CPTs, we introduce a sophisticated distributed normalized observer-controller framework which is adept at more precisely estimating unknown states and faults. Subsequently, we devised a distributed fault-tolerant consensus control (DFTCC) mechanism, which sustains the resilience of MASs against malicious attacks, compensates for system failures, and exhibits remarkable robustness to noise under challenging CPTs. Secondly, in order to mitigate network congestion, expedite data transmission rates, and optimize overall performance metrics, we propose a generalized event-based TSTM, tailored for MASs. In the initial phase, we employ a traditional event-triggered mechanism (ETM) designed to filter and temporarily store critical data trigger groups; subsequently probabilistic methods are employed to ascertain the real release packets (RRP), thereby enhancing accuracy significantly. This methodology adeptly addresses consensus challenges within MAS by substantially alleviating system burdens while ensuring instantaneous communication among components. Finally, by concurrently examining the dynamics of both fast and slow MASs through singular perturbation theory frameworks, we decompose an interrelated class of two-time-scale MASs (TTSMAS) into distinct yet discernible dynamics characterized by slower temporal scales. Moreover, through simulation experiments this methodology has proven remarkably effective in significantly enhancing the performance efficiency of MASs.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107640"},"PeriodicalIF":3.7,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629188","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 semi-Lagrangian approach for time and energy path planning optimization in static flow fields

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-13 DOI: 10.1016/j.jfranklin.2025.107612

Víctor C. da S. Campos , Armando A. Neto , Douglas G. Macharet

{"title":"A semi-Lagrangian approach for time and energy path planning optimization in static flow fields","authors":"Víctor C. da S. Campos , Armando A. Neto , Douglas G. Macharet","doi":"10.1016/j.jfranklin.2025.107612","DOIUrl":"10.1016/j.jfranklin.2025.107612","url":null,"abstract":"<div><div>Efficient path planning for autonomous mobile robots is a critical problem across numerous domains, where optimizing both <em>time</em> and <em>energy</em> consumption is paramount. This paper introduces a novel methodology that considers the dynamic influence of an environmental flow field and geometric constraints, including obstacles and forbidden zones, enriching the complexity of the planning problem. Here, we formulate it as a multi-objective optimal control problem, and propose a novel transformation called <em>Harmonic Transformation</em>, applying a semi-Lagrangian scheme to solve it. The set of Pareto efficient solutions is obtained considering two distinct approaches: (<span><math><mi>i</mi></math></span>) a deterministic method referred to as Concurrent Policy Iteration (CPI); and (<span><math><mrow><mi>i</mi><mi>i</mi></mrow></math></span>) an evolutionary-based one, called Multi-objective Evolutionary Policy Iteration (MEPI). Both methods were designed to make use of the proposed Harmonic Transformation. Through an extensive analysis of these approaches, comparing them with the state-of-the-art literature, we demonstrate their efficacy in finding optimized paths. Generally speaking, the Pareto Set of solutions found in our experiments indicates that the CPI demonstrated better performance in finding solutions close to the time-optimal one, whereas the MEPI was most successful in finding solutions close to the energy-optimal solution.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 7","pages":"Article 107612"},"PeriodicalIF":3.7,"publicationDate":"2025-03-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644009","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

Date-driven deadbeat sliding mode control using input/output differences

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-12 DOI: 10.1016/j.jfranklin.2025.107622

Mingxuan Sun, Zhengyang Zhu, Xiongxiong He

引用次数: 0

Efficient image reconstruction via regularized variable s-step conjugate gradient method for Sylvester matrix equations

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-12 DOI: 10.1016/j.jfranklin.2025.107634

Hojjatollah Shokri Kaveh , Masoud Hajarian , Anthony T. Chronopoulos

{"title":"Efficient image reconstruction via regularized variable s-step conjugate gradient method for Sylvester matrix equations","authors":"Hojjatollah Shokri Kaveh , Masoud Hajarian , Anthony T. Chronopoulos","doi":"10.1016/j.jfranklin.2025.107634","DOIUrl":"10.1016/j.jfranklin.2025.107634","url":null,"abstract":"<div><div>In image and signal processing, one or more transformations are applied to the desired image (signal), and the original image (signal) should be reconstructed by reversing these transformations. One important equation for modeling image (signal) processing problems is the Sylvester matrix equation, which modifies the image by applying two transformations on both sides. In this paper, we introduce an algorithm for solving the Sylvester matrix equation based on the conjugate gradient algorithm. This algorithm employs the <span><math><mi>s</mi></math></span>-step technique to reduce communication overhead and aims to enhance its performance by adjusting the <span><math><mi>s</mi></math></span> parameter during the iterations. Since the algorithm can become unstable with a sudden increase in <span><math><mi>s</mi></math></span>, this instability is addressed through the use of mapped regularization filters. Finally, the effectiveness and efficiency of the algorithm are evaluated using several numerical examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107634"},"PeriodicalIF":3.7,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143636792","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 adaptive Nash equilibrium seeking in high-order multiagent systems under time-varying unknown disturbances

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-12 DOI: 10.1016/j.jfranklin.2025.107639

Shengli Du , Tianli Xu , Xue-Fang Wang , Honggui Han , Junfei Qiao

{"title":"Distributed adaptive Nash equilibrium seeking in high-order multiagent systems under time-varying unknown disturbances","authors":"Shengli Du , Tianli Xu , Xue-Fang Wang , Honggui Han , Junfei Qiao","doi":"10.1016/j.jfranklin.2025.107639","DOIUrl":"10.1016/j.jfranklin.2025.107639","url":null,"abstract":"<div><div>This paper aims to tackle two complex challenges in achieving the Nash equilibrium for high-order multiagent systems with unknown disturbances: addressing the interconnection issues arising from the high-order systems, and mitigating the oscillations caused by time-varying unknown disturbances. To address such challenges, we develop a distributed adaptive Nash equilibrium seeking algorithm utilizing a novel state observer comprising the gradient play theory, the leader-following consensus protocol, and the error sign function. This new approach not only achieves the seeking of the Nash equilibrium but also effectively accomplishes the goal of disturbance suppression. The superiority of the proposed strategy over the existing seeking schemes lies in adopting adaptive feedback in the strategy design process. The asymptotic seeking of the Nash equilibrium is then proved by using the input-to-state stability theorem and Barbalat lemma, and sufficient conditions ensuring the convergence are developed. Three simulations consisting of robots with mobile sensor networks, the three-order multiagent system, and the energy competition within power generation systems are conducted to illustrate the effectiveness of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107639"},"PeriodicalIF":3.7,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143628329","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

Stability analysis of generalized second-order nonlinear control systems

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-12 DOI: 10.1016/j.jfranklin.2025.107606

Cong Wang , Li Li , Minghui Yao , Qiliang Wu , Yan Niu

{"title":"Stability analysis of generalized second-order nonlinear control systems","authors":"Cong Wang , Li Li , Minghui Yao , Qiliang Wu , Yan Niu","doi":"10.1016/j.jfranklin.2025.107606","DOIUrl":"10.1016/j.jfranklin.2025.107606","url":null,"abstract":"<div><div>To overcome the constant boundedness and slow time-varying constraints of disturbances, this paper presents a generalized second-order nonlinear control algorithm (GSONCA) and resulting a generalized second-order nonlinear control system (GSONCS), and further studies the stability and disturbance rejection of GSONCS. Unlike existing similar works, the GSONCS is a universal second-order system framework including nonlinear, time-varying, and switching terms, which is able to deal with time-dependent and state-dependent disturbances. All possible equilibrium points are discussed for the GSONCS, and the existence condition of a unique equilibrium point is constructed. Several practical stability inequalities of coefficients are established for the GSONCS where the coefficients can be almost arbitrary functions of state variable and time, which unify the stability criterion of second-order linear and nonlinear systems. Based on the proposed stability results, the disturbance rejection conditions of GSONCS are derived, and the good robustness of state-dependent-type second-order nonlinear systems is confirmed. As the applications of GSONCS, the parameter tuning methods of popular second-order algorithms are provided, and simulations on DC-DC converters are presented to validate the proposed GSONCA.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107606"},"PeriodicalIF":3.7,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620590","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 adaptive event-triggered predefined time control for stochastic nonlinear systems

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-11 DOI: 10.1016/j.jfranklin.2025.107631

Yuelei Yu , Shuai Sui , Shaocheng Tong , C.L. Philip Chen

{"title":"Fuzzy adaptive event-triggered predefined time control for stochastic nonlinear systems","authors":"Yuelei Yu , Shuai Sui , Shaocheng Tong , C.L. Philip Chen","doi":"10.1016/j.jfranklin.2025.107631","DOIUrl":"10.1016/j.jfranklin.2025.107631","url":null,"abstract":"<div><div>This article investigates the predefined time fuzzy adaptive event-triggered control (ETC) issue for stochastic nonlinear systems. Fuzzy logic systems (FLSs) are used to recognize unknown nonlinear dynamics, and fuzzy state estimators are designed to solve the problems caused by unmeasurable states. To save network resources and directly activate control behaviors by applying triggered state signals, a dynamically adjustable event-triggered mechanism (ETM) is established. The proposed method can directly preset the control problem of the stabilization time of the system, and the control strategy is easier to implement due to fewer design parameters in this method. An adaptive fuzzy event-triggered predefined time control scheme is proposed by backstepping control technique. The tanh function is introduced in the control design process to prevent the singularity problem. The semiglobally practically predefined time stochastic stabilizable (SPPSS) of the control system is demonstrated through the Lyapunov theory. Finally, simulations are shown to verify the effectiveness of the investigated theory.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107631"},"PeriodicalIF":3.7,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143636791","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

Efficient robust model predictive control for uncertain norm-bounded Markov jump systems with persistent disturbances via matrix partition

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-11 DOI: 10.1016/j.jfranklin.2025.107633

Yuchang Feng , Xue Li , Donglin Shi , Jun Ai

引用次数: 0

Robust sliding mode boundary control for uncertain reaction–diffusion systems

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-11 DOI: 10.1016/j.jfranklin.2025.107623

Wei-Jie Zhou , Kai-Ning Wu , Xiao-Zhen Liu

引用次数: 0

Robust adaptive safe effective dynamic coverage control of nonlinear systems and its application to differential robots