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

Adaptive fixed-time output synchronization of MWRDNNs with delayed output couplings 具有延迟输出耦合的mwrdnn自适应定时输出同步

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-28 DOI: 10.1016/j.jfranklin.2025.107747

Qian Qiu , Jingjing Li , Jiayuan Yan , Hongtai Yao , Housheng Su

{"title":"Adaptive fixed-time output synchronization of MWRDNNs with delayed output couplings","authors":"Qian Qiu , Jingjing Li , Jiayuan Yan , Hongtai Yao , Housheng Su","doi":"10.1016/j.jfranklin.2025.107747","DOIUrl":"10.1016/j.jfranklin.2025.107747","url":null,"abstract":"<div><div>This work develops an adaptive output feedback control technique to make multi-weight reaction–diffusion neural networks (MWRDNNs) with delayed output couplings be fixed-time output synchronized. Unlike earlier related works, the proposed control algorithm introduces an adaptive law to timely update the control gain of the node, avoiding dependence on global information of the network. Additionally, the algorithm incorporates integral terms with multiple coupling delays, mitigating the impact of multiple coupling delays in the network. By adopting the Lyapunov functional method, fixed-time stability theory, and key inequality techniques, the fixed-time output synchronization (OS) criterion is derived, and the settling time is obtained, which avoids the defect of relying on the initial value of the system. Concurrently, a corollary states that the fixed-time OS can be reached for MWRDNNs without output coupling delays through a node-based adaptive adjustment scheme. Lastly, the effectiveness of the developed control methods is validated by the correlation results obtained from two numerical simulation examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 10","pages":"Article 107747"},"PeriodicalIF":3.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144166993","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

Encoding–decoding-based fusion estimation with censored measurements: When data transmission meets random bit errors 基于截尾测量的编译码融合估计：当数据传输遇到随机误码时

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-28 DOI: 10.1016/j.jfranklin.2025.107748

Jiahui Li, Wenwei Yan, Xianye Bu, Jinnan Zhang

{"title":"Encoding–decoding-based fusion estimation with censored measurements: When data transmission meets random bit errors","authors":"Jiahui Li, Wenwei Yan, Xianye Bu, Jinnan Zhang","doi":"10.1016/j.jfranklin.2025.107748","DOIUrl":"10.1016/j.jfranklin.2025.107748","url":null,"abstract":"<div><div>This paper focuses on the state fusion estimation (FE) problem for a class of multi-sensor systems, where a specific measurement nonlinearity, namely censored measurements, is taken into account. The censoring phenomenon is described by the Tobit I model for practical engineering. Furthermore, in order to effectively alleviate the network communication burden and improve the reliability of data transmission, the binary encoding strategies (BESs) are employed in the communication channel from the sensors to the estimators. A sequence of Bernoulli random variables is used to model the random bit errors induced by channel noise during transmission. More specifically, an optimal fused state estimator is designed to integrate the benefits from multiple sensor outputs efficiently. In this paper, a FE scheme under BES is proposed to ensure that the FE error dynamics is exponentially bounded. Sufficient conditions for the existence of the desired local estimators and fusion estimator are firstly obtained, and then the optimal local estimator gains and the weighting matrices are acquired by solving certain optimization problems. Finally, the effectiveness of the estimation method is validated through a simulation example.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 10","pages":"Article 107748"},"PeriodicalIF":3.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144178698","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

Reset control on a sliding set: Well-posedness, stability and robustness 在滑动集上复位控制：稳健性、稳定性和鲁棒性

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-28 DOI: 10.1016/j.jfranklin.2025.107743

Alfonso Baños , Antonio Barreiro , Emma Delgado

{"title":"Reset control on a sliding set: Well-posedness, stability and robustness","authors":"Alfonso Baños , Antonio Barreiro , Emma Delgado","doi":"10.1016/j.jfranklin.2025.107743","DOIUrl":"10.1016/j.jfranklin.2025.107743","url":null,"abstract":"<div><div>A reset controller is a continuous-time controller equipped with reset actions, which are instantaneous jumps of the controller state, applied when specific conditions are met. Reset control has been demonstrated to be an effective means of overcoming linear controller limitations in both the time and frequency domains, and it can generate a finite-time response in a unique manner compared to other finite-time controllers. This research proposes a novel reset controller utilizing a resetting law based on a high-order sliding set and a hybrid dynamical system formalism that efficiently addresses the reaching phase. The controller parameters are designed to be feasible, ensuring that the nominal closed-loop hybrid system is well-posed and globally asymptotically stable. Furthermore, well-posedness implies robustness against perturbations such as measurement noise, parametric uncertainty, and actuator disturbances. A case study is examined, providing guidelines for the design of the reset controller and a comprehensive analysis of its robustness characteristics in relation to a high-order sliding mode controller.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 10","pages":"Article 107743"},"PeriodicalIF":3.7,"publicationDate":"2025-05-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144168373","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

Integral sliding mode secure control for linear systems subject to malicious attacks: A hybrid learning scheme 线性系统受恶意攻击的积分滑模安全控制：一种混合学习方案

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-26 DOI: 10.1016/j.jfranklin.2025.107739

Zheng Huang , Qing Yang , Hao Shen , Ju H. Park

{"title":"Integral sliding mode secure control for linear systems subject to malicious attacks: A hybrid learning scheme","authors":"Zheng Huang , Qing Yang , Hao Shen , Ju H. Park","doi":"10.1016/j.jfranklin.2025.107739","DOIUrl":"10.1016/j.jfranklin.2025.107739","url":null,"abstract":"<div><div>In this paper, the secure control problem of linear time-invariant (LTI) systems under malicious false data injection attacks (FDIAs) is investigated. Initially, the optimal control problem of LTI systems is resorted to solving the algebraic Riccati equations (AREs). Subsequently, a hybrid iteration scheme is proposed that combines the advantages of both value iteration and policy iteration to solve the optimal control problem of LTI systems in the case where the system dynamics information is unknown. This scheme not only eliminates the requirement for an initial stabilizing control policy but also has a faster convergence rate compared to value iteration. At the same time, a super-twisting integral sliding mode controller, designed based on the hybrid iteration scheme, is applied to resist malicious FDIAs without the requirement for system dynamics information and reduce the chattering phenomenon. Finally, the effectiveness of the proposed control scheme is validated through an operational amplifier circuit.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 10","pages":"Article 107739"},"PeriodicalIF":3.7,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147869","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

Traction control for multi-actuator driven vehicles: A case study of wheel–track hybrid vehicles 多驱动器驱动车辆的牵引力控制：以轮轨混合动力汽车为例

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-26 DOI: 10.1016/j.jfranklin.2025.107738

Boyuan Li , Junhua Liu , Shaoxun Liu , Shouyuan Chen , Rongrong Wang , Yansong Zhang , Hui Jing

{"title":"Traction control for multi-actuator driven vehicles: A case study of wheel–track hybrid vehicles","authors":"Boyuan Li , Junhua Liu , Shaoxun Liu , Shouyuan Chen , Rongrong Wang , Yansong Zhang , Hui Jing","doi":"10.1016/j.jfranklin.2025.107738","DOIUrl":"10.1016/j.jfranklin.2025.107738","url":null,"abstract":"<div><div>This paper explores the traction control of multi-actuator vehicles, focusing on wheel–track hybrid vehicles. Wheel–track hybrid vehicles combine the efficiency of wheeled vehicles with the off-road capabilities of tracked vehicles, offering distinct advantages. A dual-layer traction control system is proposed to enhance the vehicle’s stability across various terrains. The study introduces a universal approach to simplify the allocation of driving forces in multi-actuator systems, which is applied to the traction control of wheel–track hybrid vehicles. This method divides traction allocation into two layers: the first layer distributes driving forces between different types of actuators, while the second layer manages the allocation within the same type of actuator. The approach reduces computational load and is mathematically proven to achieve the same effect as direct traction allocation to all actuators. Experiments validate the effectiveness of the proposed system, demonstrating its ability to optimize performance and energy efficiency, as well as extend the longevity of driving components.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 10","pages":"Article 107738"},"PeriodicalIF":3.7,"publicationDate":"2025-05-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144138865","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

Asynchronous self-triggered sliding mode control for wind turbine based on Markov jump model 基于马尔可夫跳变模型的风力发电机异步自触发滑模控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-25 DOI: 10.1016/j.jfranklin.2025.107740

Xintong Xie , Bei Chen , Ying Wei , Yuanyuan Zou

{"title":"Asynchronous self-triggered sliding mode control for wind turbine based on Markov jump model","authors":"Xintong Xie , Bei Chen , Ying Wei , Yuanyuan Zou","doi":"10.1016/j.jfranklin.2025.107740","DOIUrl":"10.1016/j.jfranklin.2025.107740","url":null,"abstract":"<div><div>This work is concerned with the sliding mode control of a wind turbine driven by randomly-switching wind speeds, with the aim of adjusting the generator speed to acquire rated power while reducing the fatigue load of the wind turbine. Due to the stochastic nature of wind speed, the operating point of the wind turbine changes frequently. The stochastic characteristics of wind speed are described by a Markov process, so that the traditional operating point of the wind turbine is divided into separate modes accordingly, in which model parameters and control gains for each mode can be determined. Considering that the wind turbine status data is transmitted to the controller via a wireless communication network with limited bandwidth, a self-triggered mechanism is introduced to enhance channel resource utilization and reduce bandwidth occupancy, in which the triggering instants can be calculated by utilizing the current and past triggered state information. Meanwhile, a mode estimator is employed to estimate the unobtainable system mode. Then, an asynchronous self-triggered sliding mode controller is constructed, and the sufficient conditions are derived to achieve the stochastic stability of the system with a specified <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance level. Finally, the simulation results of a 2MW wind turbine verify the feasibility and effectiveness of the present control strategy.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 10","pages":"Article 107740"},"PeriodicalIF":3.7,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144138862","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

Active disturbance rejection geometric control of quadrotor UAV on SO(3) 基于SO(3)的四旋翼无人机自抗扰几何控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-25 DOI: 10.1016/j.jfranklin.2025.107744

Yike Zeng , Guolai Yang , Zongfan Wang

{"title":"Active disturbance rejection geometric control of quadrotor UAV on SO(3)","authors":"Yike Zeng , Guolai Yang , Zongfan Wang","doi":"10.1016/j.jfranklin.2025.107744","DOIUrl":"10.1016/j.jfranklin.2025.107744","url":null,"abstract":"<div><div>This paper addresses the global attitude tracking control problem of gun-launched quadrotor unmanned aerial vehicle (UAV) under arbitrary initial attitudes and external wind disturbances. A novel geometric control method with disturbance rejection is proposed on the special orthogonal group SO(3). Firstly, the attitude and error dynamics models of the quadrotor UAV are established on SO(3). Secondly, a new geometric tracking differentiator is designed on SO(3) to generate smooth desired inputs, with added angular velocity feedback that simultaneously regulates the system’s tracking speed and peak angular velocity tracking. Lastly, a geometric high-gain extended state observer on SO(3) is proposed to estimate the system’s states and disturbances, and a disturbance rejection geometric control law is designed based on state error feedback to achieve global asymptotic stability. This approach effectively tackles the attitude stabilization and tracking of time-varying desired attitudes of the quadrotor UAV under arbitrary initial attitudes perturbed by gusts. The attitude dynamics and the proposed control systems are developed on SO(3), thereby circumventing the limitations associated with other attitude representations, such as Euler angles, Rodrigues parameters, and unit quaternions. The efficacy and advancement of disturbance suppression of the proposed control system are validated through numerical simulation results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 10","pages":"Article 107744"},"PeriodicalIF":3.7,"publicationDate":"2025-05-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144147867","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 (Q,S,R)-γ-dissipative dynamic output feedback sliding mode control for descriptor T–S fuzzy Markovian jump systems with actuator faults 具有执行器故障的广义T-S模糊马尔可夫跳变系统的鲁棒（Q，S，R）-γ-耗散动态输出反馈滑模控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-24 DOI: 10.1016/j.jfranklin.2025.107745

Juan Zhou, Yi Chen, Yuan Yuan

引用次数: 0

Attitude control of flexible spacecraft subject to disturbances with unknown frequencies 受未知频率干扰的柔性航天器姿态控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-24 DOI: 10.1016/j.jfranklin.2025.107746

Zhaowu Ping , Shengrui He , Delai Xu , Yunzhi Huang , Canghua Jiang , Jun-Guo Lu

引用次数: 0

Encoding–decoding-based distributed event-triggered sliding mode consensus control for multiagent systems under constrained bit rate 码率受限下基于编解码的分布式事件触发滑模一致性控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-05-23 DOI: 10.1016/j.jfranklin.2025.107722

Xing Qi , Liangkuan Zhu , Xin Li

{"title":"Encoding–decoding-based distributed event-triggered sliding mode consensus control for multiagent systems under constrained bit rate","authors":"Xing Qi , Liangkuan Zhu , Xin Li","doi":"10.1016/j.jfranklin.2025.107722","DOIUrl":"10.1016/j.jfranklin.2025.107722","url":null,"abstract":"<div><div>This paper investigates the distributed sliding mode consensus control problem for the continuous-time multi-agent systems (MASs) under the constrained bit rate, in which a quantization-based event-triggered encoding–decoding mechanism (ETEDM) is developed to compress the transmitted data between agents and lessen the burden on the limited bandwidth resources of digital communication networks. The lower bound of bit rate is modeled as the ratio of the encoding length to the minimum inter-execution time of the event-triggered protocol (ETP). In addition, a distributed estimator is adopted to estimate the state of each agent and generate event-triggered instants. Further, a dynamic parameter-based distributed sliding mode control (SMC) algorithm is formulated to reinforce the system’s robustness and suppress the chattering phenomenon. Subsequently, the Zeno phenomenon of ETP is eliminated and the required bit rate condition for the decoding error to be bounded is deduced. By the theory of linear matrix inequalities, a sufficient criterion under the bit rate allocation scheme is given to guarantee that the consensus tracking error is exponentially ultimately bounded (EUB) and the solution of the controller’s gain matrix is parameterized. Finally, the validity of the developed control approach is verified by a set of two-mass–spring systems.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 10","pages":"Article 107722"},"PeriodicalIF":3.7,"publicationDate":"2025-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144138864","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