Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第4页

A low-complexity solution for LMIs of hardly constrained nonlinear MIMO tracking control systems 几乎不受约束的非线性多输入多输出（MIMO）跟踪控制系统 LMI 的低复杂度解决方案

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-25 DOI: 10.1016/j.jfranklin.2024.107350

Mohammad Abbasi Gavari , Mohammad Reza Homaeinezhad

{"title":"A low-complexity solution for LMIs of hardly constrained nonlinear MIMO tracking control systems","authors":"Mohammad Abbasi Gavari , Mohammad Reza Homaeinezhad","doi":"10.1016/j.jfranklin.2024.107350","DOIUrl":"10.1016/j.jfranklin.2024.107350","url":null,"abstract":"<div><div>This research is dedicated to the discrete-time tracking control of nonlinear multi-input multi-output (MIMO) Newtonian mechanics systems with an equal number of inputs and outputs, in the presence of input saturation and high-order dynamics of the actuation system. Firstly, the continuous-time model of the plant and actuation system has been transformed into the discrete-time domain using Adams–Bashforth and Adams–Moulton discretization techniques. In the next step, considering saturation boundaries, the modified position and velocity references are derived using the discrete-time reaching law-based control approach. These modified references are obtained through an optimization algorithm that calculates the closest achievable position and velocity trajectories with respect to the desired reference trajectory. Modifying desired trajectories in MIMO systems results in the formation of a system of linear matrix inequalities (LMIs). Solving such systems of inequalities requires the use of complex methods, and this difficulty increases with the increase in the system’s degrees of freedom (DOFs). The proposed strategy offers a more straightforward approach to solving these inequalities. Once the modified references are calculated, the corresponding position and velocity control signals can be obtained using the mentioned reaching law strategies. The final step of the proposed algorithm is to combine the resulting position and velocity control signals using a Gaussian-weighted averaging method to form the main control signal. A desirable performance for the control system can be achieved by appropriately adjusting the standard deviations of the Gaussian weighing functions. To evaluate the performance characteristics of the proposed method, it has been applied in the tracking control procedure of a nonlinear 3-DOF mechanical system. The numerical simulation results demonstrate the effectiveness of the method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107350"},"PeriodicalIF":3.7,"publicationDate":"2024-10-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142573491","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

Low-complexity tracking control of hydraulic excavator systems with asymmetric full-state constraints 具有非对称全状态约束条件的液压挖掘机系统的低复杂度跟踪控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-24 DOI: 10.1016/j.jfranklin.2024.107345

Changchun Hua, Jiafeng Zhou, Bo Zhang, Yu Zhang, Jian Zhang

引用次数: 0

Robust H∞ output feedback control for polynomial discrete-time systems 多项式离散时间系统的鲁棒 H∞ 输出反馈控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-24 DOI: 10.1016/j.jfranklin.2024.107328

S. Saat , R. Sakhtivel , F.A. Hussin , M. Sedek

{"title":"Robust H∞ output feedback control for polynomial discrete-time systems","authors":"S. Saat , R. Sakhtivel , F.A. Hussin , M. Sedek","doi":"10.1016/j.jfranklin.2024.107328","DOIUrl":"10.1016/j.jfranklin.2024.107328","url":null,"abstract":"<div><div>This paper aims to design a robust output feedback controller with <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance for polynomial discrete-time systems (PDTS). This is due to the lack of research available on PDTS’ output feedback control especially when uncertainty is considered in the system. To be specific, the norm-bounded uncertainties are considered instead of polytopic uncertainties and then a so-called ‘<span><math><mrow><mi>s</mi><mi>c</mi><mi>a</mi><mi>l</mi><mi>e</mi><mi>d</mi></mrow></math></span>’ system is established to relate the robust <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> and the nonlinear <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> output feedback control problem. The integrator approach is introduced to overcome the nonconvexity issue when the polynomial Lyapunov function is selected. The controller is obtained by solving the sufficient conditions which are formulated in Polynomial Matrix Inequalities (PMIs) which is then converted into Sum of Squares (SOS) form. Semidefinite Programming (SDP) is used to obtain the results. Finally, the efficacy of the method is shown through numerical examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107328"},"PeriodicalIF":3.7,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142662787","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 variable threshold weight approach to dynamic event-triggered consensus control for leader-following multi-agent systems under asynchronous DoS attacks 异步 DoS 攻击下领导者-跟随者多代理系统的动态事件触发共识控制可变阈值权重法

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-24 DOI: 10.1016/j.jfranklin.2024.107343

Tu Zhang , Guobao Zhang , Amr Alanwar , Yongming Huang

{"title":"A variable threshold weight approach to dynamic event-triggered consensus control for leader-following multi-agent systems under asynchronous DoS attacks","authors":"Tu Zhang , Guobao Zhang , Amr Alanwar , Yongming Huang","doi":"10.1016/j.jfranklin.2024.107343","DOIUrl":"10.1016/j.jfranklin.2024.107343","url":null,"abstract":"<div><div>This paper is concerned with the event-triggered consensus problem for leader-following multi-agent systems under asynchronous denial-of-service (DoS) attacks. Since the asynchronous attacks on different edges may enlarge the defense burden, the topology connectivity is employed to reveal the effectiveness of attacks and determine the unhealthy time periods. Relying on the internal system state, a dynamic event-triggered mechanism is built to regulate the information transmission between agents. In this mechanism, a variable threshold weight composed of the deviations of the relative neighboring errors and historical state errors is proposed to adaptively schedule the triggering thresholds with systems running stages. To guarantee secure consensus performance even during the triggering intervals, the local estimation of the neighboring information is integrated into the controller such that sufficient conditions to obtain the control parameters and the tolerable attack parameters are established without any Zeno behavior. The proposed method is validated by a simulation study.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107343"},"PeriodicalIF":3.7,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142552449","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

Fractional exponential stability of nonlinear conformable fractional-order delayed systems with delayed impulses and its application 具有延迟脉冲的非线性保形分数阶延迟系统的分数指数稳定性及其应用

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-24 DOI: 10.1016/j.jfranklin.2024.107353

Lingao Luo , Lulu Li , Jinde Cao , Mahmoud Abdel-Aty

{"title":"Fractional exponential stability of nonlinear conformable fractional-order delayed systems with delayed impulses and its application","authors":"Lingao Luo , Lulu Li , Jinde Cao , Mahmoud Abdel-Aty","doi":"10.1016/j.jfranklin.2024.107353","DOIUrl":"10.1016/j.jfranklin.2024.107353","url":null,"abstract":"<div><div>This article studies the fractional exponential stability (FES) of nonlinear conformable fractional-order delayed systems (CFODSs) and the fractional exponential synchronization of conformable fractional-order delayed inertial neural networks (CFODINNs), both with delayed impulses (DIs). Under the conformable fractional-order derivative framework, a novel Halanay inequality is established by generalizing the average impulsive interval (AII), which is a key basis for further investigations. Additionally, based on the proposed inequality, the requirement of the magnitude relationship among the system delay, the impulsive intervals, and the impulsive delays is removed. Moreover, using the improved average impulsive delay (AID), a relaxed FES criterion for nonlinear CFODSs with DIs is derived. Furthermore, as an application of the obtained theoretical results, the fractional exponential synchronization of CFODINNs with DIs is studied. Finally, simulations are given to illustrate the validity of our results, where the positive effect of impulsive delays is verified.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107353"},"PeriodicalIF":3.7,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142593909","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

Editorial: Special Issue on Recent Developments in Sliding Mode Control/Variable Structure Systems dedicated to the memory of Prof. Vadim I. Utkin 编辑关于滑模控制/可变结构系统最新发展的特刊，献给 Vadim I. Utkin 教授

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-22 DOI: 10.1016/j.jfranklin.2024.107327

Michael Basin (Editors), Michael Defoort, Yuri Shtessel, Elio Usai

引用次数: 0

Observer-based iterative learning control with varying iteration lengths and alignment condition 基于观测器的迭代学习控制，迭代长度和排列条件各不相同

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-22 DOI: 10.1016/j.jfranklin.2024.107325

Zihao Wang , Mouquan Shen , Liwei Li

引用次数: 0

On-line data-driven control for uncertain systems based on greedy algorithm 基于贪婪算法的不确定系统在线数据驱动控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-21 DOI: 10.1016/j.jfranklin.2024.107335

Jiahui Shen, Xinggao Liu

引用次数: 0

Event-triggered sliding mode control for networked T–S fuzzy delayed systems against random injection attacks 针对随机注入攻击的网络 T-S 模糊延迟系统的事件触发滑动模式控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-19 DOI: 10.1016/j.jfranklin.2024.107333

Hao Liu , Jun Hu , Hongxu Zhang , Zhiyuan Zuo

{"title":"Event-triggered sliding mode control for networked T–S fuzzy delayed systems against random injection attacks","authors":"Hao Liu , Jun Hu , Hongxu Zhang , Zhiyuan Zuo","doi":"10.1016/j.jfranklin.2024.107333","DOIUrl":"10.1016/j.jfranklin.2024.107333","url":null,"abstract":"<div><div>This paper investigates the event-triggered sliding mode control (SMC) problem for networked T–S fuzzy delayed systems subject to random injection attacks, where the event-triggered mechanism (ETM) is introduced to alleviate data congestion and improve network efficiency. Under an open network environment, malicious attackers may randomly inject false information into the controller–actuator channel to compromise the integrity of the data. A new fuzzy sliding mode controller is constructed based on a non-parallel distributed compensation strategy, which introduces the distribution information of the attack probability. Then, the membership function dependent (MFD) analysis technique is adopted to reconstruct the membership functions in order to reduce the conservatism caused by the mismatch between the membership functions of fuzzy model and controller. Furthermore, the co-design conditions for the ETM and the fuzzy sliding mode controller are provided, which can ensure that the resulting closed-loop fuzzy system is mean-square exponentially ultimately bounded (EUB) and the sliding surface is reachable. Finally, a simulation experiment with tunnel diode circuit application is utilized to demonstrate the validity of the proposed SMC scheme.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107333"},"PeriodicalIF":3.7,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535747","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

Search region updating with hierarchical feature fusion for accurate thermal infrared tracking 利用分层特征融合更新搜索区域，实现精确的热红外跟踪

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-19 DOI: 10.1016/j.jfranklin.2024.107332

Xiu Shu , Feng Huang , Zhaobing Qiu , Chunwei Tian , Qiao Liu , Di Yuan

{"title":"Search region updating with hierarchical feature fusion for accurate thermal infrared tracking","authors":"Xiu Shu , Feng Huang , Zhaobing Qiu , Chunwei Tian , Qiao Liu , Di Yuan","doi":"10.1016/j.jfranklin.2024.107332","DOIUrl":"10.1016/j.jfranklin.2024.107332","url":null,"abstract":"<div><div>Due to their resilience against lighting variations, thermal infrared (TIR) images demonstrate robust adaptability in diverse environments, enabling effective object tracking even in intricate scenarios. Nevertheless, TIR target tracking encounters challenges such as fast target motion and interference from visually similar objects, substantially compromising the tracking precision of TIR trackers. To surmount these challenges, we propose a method grounded in the strategy of search region updating and hierarchical feature fusion, tailored for the precise TIR target-tracking task. Specifically, to address the issue of fast motion causing the target to depart from the search region, we propose to update the current search region by leveraging historical frame information. Additionally, we employ a hierarchical feature fusion strategy to contend with interference from visually similar objects in the tracking scenario. This strategy enhances the ability to model and represent the target more accurately, thereby elevating the tracker’s capacity to discriminate between the target and similar objects. Furthermore, to tackle the challenge of inaccurate estimation of target bounding boxes, we introduce an enhanced Intersection over Union (IoU) loss function, which improvement facilitates a more precise prediction of target bounding boxes, resulting in superior target localization. Extensive experiments substantiate that our tracker exhibits a commendable level of competitiveness when compared to other trackers.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107332"},"PeriodicalIF":3.7,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535744","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