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

Real-time reachable set control for singular Markov jump systems with mixed delay and uncertain parameters

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.2025.107525

Guowei Zhao , Zhiguang Feng , Qingxiang Wang , Zhengyi Jiang , Hong Lin

引用次数: 0

Indefinite LQ optimal control for mean-field stochastic systems with information asymmetry

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.2025.107569

Cheng Tan , Binlian Zhu , Ziran Chen , Wing Shing Wong

引用次数: 0

Modified matrix-weighted fusion estimation for cyber–physical systems under FDI 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.2025.107526

Li Li, Xingyu Tian

引用次数: 0

Resilient event-triggered control of networked switched systems under DoS 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.2025.107570

Ruihua Wang , Xinru Fan , Ticao Jiao , Dong Yang , Shuai Wang , Gan Liu

{"title":"Resilient event-triggered control of networked switched systems under DoS attacks","authors":"Ruihua Wang , Xinru Fan , Ticao Jiao , Dong Yang , Shuai Wang , Gan Liu","doi":"10.1016/j.jfranklin.2025.107570","DOIUrl":"10.1016/j.jfranklin.2025.107570","url":null,"abstract":"<div><div>A resilient event-triggered scheme is proposed to investigate the input-to-state stability (ISS) of networked switched systems subject to denial-of-service (DoS) attacks under fast/slow mode-dependent average dwell time (MDADT). The use of the resilient event-triggered scheme conserves network resources, ensuring that the maximum asynchronous time is smaller than one sampling period, and swiftly detecting the cessation of DoS attacks. For the purpose of analyzing the ISS of the networked switched system, a novel piecewise Lyapunov function is proposed that accounts for the combined impacts of DoS attacks and the resilient event-triggered scheme. The fast MDADT switching is employed to deal with the unstable modes of the closed-loop system. Then sufficient conditions are established to guarantee the ISS of networked switched system facing DoS attacks, which reveal the combined effect of DoS attacks, sampling period and event-triggered constraint on the system stability. Eventually, the efficacy of the aforementioned approach is validated in the simulation through a comparative study.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107570"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143369729","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

Consensus for PDE-based multiagent systems under dual event-triggered mechanisms

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.2024.107493

Linge Miao , Xiangliang Sun , Xiaona Song , Shuai Song

{"title":"Consensus for PDE-based multiagent systems under dual event-triggered mechanisms","authors":"Linge Miao , Xiangliang Sun , Xiaona Song , Shuai Song","doi":"10.1016/j.jfranklin.2024.107493","DOIUrl":"10.1016/j.jfranklin.2024.107493","url":null,"abstract":"<div><div>This study develops a consensus control technique for a class of multiagent systems (MASs) modeled using partial differential equations (PDEs) of the parabolic type, which implies that the state of each agent is space–time dependent. Furthermore, when the spatial factor is considered in the modeling of the system, the modeled system generates huge amounts of data, which can pose a problem in view of the limited network bandwidth. This problem is overcome by employing a spatial point measurement approach, which is used in this study for the first time, to reduce the amount of data transmission. Furthermore, the update frequency of controllers and actuators is reduced by using dual event-triggered mechanisms (ETMs). In view of the mismatch between measurement and control points, non-collocated pointwise control is used to achieve consensus. Finally, a numerical simulation is performed to verify the theory proposed in this paper, moreover, the comparative experiments illustrate the superiority of the spatial point measurement approach and dual event-triggered mechanisms.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107493"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143145406","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

Offset quaternion linear canonical transform: Properties, uncertainty inequalities and application

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.2025.107553

Mawardi Bahri, Nur Ismi Tahir, Nasrullah Bachtiar, Muhammad Zakir

{"title":"Offset quaternion linear canonical transform: Properties, uncertainty inequalities and application","authors":"Mawardi Bahri, Nur Ismi Tahir, Nasrullah Bachtiar, Muhammad Zakir","doi":"10.1016/j.jfranklin.2025.107553","DOIUrl":"10.1016/j.jfranklin.2025.107553","url":null,"abstract":"<div><div>In this present work, we first establish some basic properties of the offset quaternion linear canonical transform such as shifting and modulation, which are missed in the existing literature. We then present the relation of the quaternion Fourier transform to the quaternion linear canonical transform and the offset quaternion linear canonical transform. We also make a direct connection between the quaternion linear canonical transform and the offset quaternion linear canonical transform. By means of the properties and relations, we derive an analogue of sharp Hausdorff–Young inequality, Matolcsi-Szücs uncertainty principle, logarithmic Sobolev-type uncertainty inequality and Benedicks–Amrein–Berthier uncertainty inequality in the framework of the offset quaternion linear canonical transform. Additionally, we implement the quaternionic Gabor filter to verify sharp Hausdorff–Young inequality concerning the considered transformation. Finally, the utility of the proposed offset quaternion linear canonical transform in the quaternion linear frequency modulated (QLFM) signal is studied.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107553"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143145434","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 stabilization of time-delayed electric vehicle aggregator via exponential Lyapunov Krasovskii functional

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.2024.107476

Khashayar Torabi-Farsani , Maryam Dehghani , Roozbeh Abolpour

{"title":"Robust stabilization of time-delayed electric vehicle aggregator via exponential Lyapunov Krasovskii functional","authors":"Khashayar Torabi-Farsani , Maryam Dehghani , Roozbeh Abolpour","doi":"10.1016/j.jfranklin.2024.107476","DOIUrl":"10.1016/j.jfranklin.2024.107476","url":null,"abstract":"<div><div>The exponential stability of time-varying delayed linear systems under uncertainty is the subject of this paper. A low-conservative approach for stabilizing an electric vehicle (EV) aggregator is described with the use of a novel Lyapunov–Krasovskii Functional (LKF) with an exponential term. The present paper considers the state space model of the system as a polytopic model, and integrates this approach with free-weighting auxiliary matrices to yield an exact allowable delay upper bound (ADUB). The Lyapunov theory is used to prove system stability without any limitation on the maximum upper bound of delay derivative in the presence of a time-varying delay and uncertain participation factors. A load frequency control (LFC) system with EV aggregators is introduced to illustrate the performance of the proposed method. Various scenarios are conducted to illustrate the superiority of the proposed approach over previous methods. The results indicate that the proposed approach calculates a larger ADUB than the state-of-the-art techniques for both the nominal and uncertain power systems cases.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107476"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136970","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 switching method for the event-triggered practical tracking control of a class of uncertain output-constrained high-order nonlinear systems

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.2025.107512

Jian Li , Yuqi Liang , Zhaojing Wu , Yungang Liu

{"title":"A switching method for the event-triggered practical tracking control of a class of uncertain output-constrained high-order nonlinear systems","authors":"Jian Li , Yuqi Liang , Zhaojing Wu , Yungang Liu","doi":"10.1016/j.jfranklin.2025.107512","DOIUrl":"10.1016/j.jfranklin.2025.107512","url":null,"abstract":"<div><div>This paper is concerned on the event-triggered practical tracking control for a class of uncertain high-order nonlinear systems with output-constraint. Remarkably, the system under investigation not only considers output constraint, but also involves more serious uncertainties which are reflected from unknown control directions and input powers. Such two distinguished features make the traditional method technically more difficult to apply, and consequently a novel switching event-triggered control scheme is proposed in this paper. Specifically, a switching time-triggered controller is first designed based on certain critical event, in which an event-triggered mechanism is chosen to tune the controller parameters via switching in two families of predefined sequences, and in turn to compensate the serious uncertainties. Combining the event that used for switching mentioned above with another new one that is carefully chosen by incorporating the compensation of unknown input power into the sampling error of control input, an event-triggered mechanism is designed and then brings a switching event-triggered controller. Finally, it is shown that the designed controller guarantees that, along with the stopping of the switching of controller parameters, all the signals of the resulting closed-loop system are bounded while system output practically tracks the reference signal without any violation of the output constraint, and moreover, Zeno phenomenon is excluded by showing all the sampling intervals are lower bounded by certain positive constant. Two simulation examples are provided to validate the effectiveness of the proposed theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107512"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137137","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 tracking control for a QUAV with a cable-suspended payload and asymmetric partial time-interval output 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.2025.107515

Fangzheng Li , Zhen Liu , Xingqiang Zhao , Quanmin Zhu

{"title":"Prescribed-time tracking control for a QUAV with a cable-suspended payload and asymmetric partial time-interval output constraints","authors":"Fangzheng Li , Zhen Liu , Xingqiang Zhao , Quanmin Zhu","doi":"10.1016/j.jfranklin.2025.107515","DOIUrl":"10.1016/j.jfranklin.2025.107515","url":null,"abstract":"<div><div>In this article, a prescribed-time observer-based sliding mode tracking control strategy is put forward for a quadrotor unmanned aerial vehicle (QUAV) carrying a cable-suspended payload, which also ensures that the payload is driven to desired trajectories under asymmetric partial time-interval output constraints (APTIOCs). Firstly, to deal with the influence of unknown perturbations rapidly, a prescribed-time disturbance observer is designed. Also, the reachability of the constructed novel nonsingular sliding surface is actualized in an assigned time by employing a prescribed-time sliding mode controller synthesis, from which tracking errors can converge to zero in a predefined time then. It is noteworthy that the proposed APTIOCs are more general than conventional continuous output constraints, which are discontinuous and have limited duration, meaning that they occur only in a specific time period. The salient advantage of APTIOCs lies in its applicability to both continuous constrained case and constraint-free one, without revising the control structure. At last, the effectiveness of the raised control algorithm is demonstrated through simulation experiment.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107515"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137138","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 new nonsmooth optimal control framework for wind turbine power systems

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.2024.107498

Hesham Abdelfattah , Sameh A. Eisa , Peter Stechlinski

{"title":"A new nonsmooth optimal control framework for wind turbine power systems","authors":"Hesham Abdelfattah , Sameh A. Eisa , Peter Stechlinski","doi":"10.1016/j.jfranklin.2024.107498","DOIUrl":"10.1016/j.jfranklin.2024.107498","url":null,"abstract":"<div><div>Optimal control theory extending from the calculus of variations has not been used to study the wind turbine power system (WTPS) control problem, which aims at achieving two targets: (i) maximizing power generation in lower wind speed conditions; and (ii) maintaining the output power at the rated level in high wind speed conditions. A lack of an <em>optimal control</em> framework for the WTPS (i.e., no access to actual optimal control trajectories) reduces optimal control design potential and prevents competing control methods of WTPSs to have a reference control solution for comparison. In fact, the WTPS control literature often relies on reduced and linearized models of WTPSs, and avoids the nonsmoothness present in the system during transitions between different conditions of operation. In this paper, we introduce a novel optimal control framework for the WTPS control problem. We use in our formulation a recent accurate, nonlinear differential–algebraic equation (DAE) model of WTPSs, which we then generalize over all wind speed ranges using nonsmooth functions. We also use developments in nonsmooth optimal control theory to take into account nonsmoothness present in the system. We implement this new WTPS optimal control approach to solve the problem numerically, including (i) different wind speed profiles for testing the system response; (ii) real-world wind data; and (iii) a comparison with smoothing and naive approaches. Results show the effectiveness of the proposed approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107498"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137142","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