{"title":"Predefined-time adaptive fuzzy tracking control for a class of uncertain nonlinear systems","authors":"Yu Wang , Qian Guo , Zhen Wang , Lihong Gao","doi":"10.1016/j.jfranklin.2025.108045","DOIUrl":"10.1016/j.jfranklin.2025.108045","url":null,"abstract":"<div><div>This article investigates the predefined-time adaptive tracking control for a class of uncertain strict-feedback nonlinear systems. The system under consideration is subject to unknown external disturbances, unknown control gain, and completely unknown nonlinear dynamics. To approximate the unknown nonlinear functions, fuzzy logic systems are employed. Based on the proposed stability criterion, both the controller and the adaptive laws are designed such that the settling time can be specified in advance, and the control singularity problem is effectively avoided. Theoretical analysis confirms that all signals in the closed-loop system remain bounded, and the tracking error converges to a small neighborhood around the origin within the predefined time. Finally, both a numerical example and a practical simulation are presented to demonstrate the effectiveness and feasibility of the proposed approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108045"},"PeriodicalIF":4.2,"publicationDate":"2025-09-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145098912","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}
{"title":"Adaptive neural resilient control for networked switched systems with event-triggered communication and multiple cyber attacks","authors":"Pengyu Zeng , Feiqi Deng , Ze-Hao Wu , Xiaobin Gao","doi":"10.1016/j.jfranklin.2025.108048","DOIUrl":"10.1016/j.jfranklin.2025.108048","url":null,"abstract":"<div><div>This paper is concerned with adaptive neural resilient control problem for networked switched systems under event-triggered communication. The multiple cyber attacks including denial-of-service (DoS) attacks and deception attacks are introduced. The closed-loop system with double switching signals is constructed to describe the effect of DoS attacks. A positive lower bound is fixed in event-triggering scheme (ETS) to avoid Zeno behavior resulted by deception attacks. In order to mitigate the influence of deception attacks on system performance, neural networks are used to approximate injected false information and the corresponding adaptive control strategy is developed. Based on neural networks and the resulting closed-loop system, multiple Lyapunov functions method and average dwell time technique are adopted, and sufficient conditions are provided to ensure that all states are semi-globally uniformly ultimately bounded (SGUUB). Subsequently, some criterions are presented to deign the parameters of controller gain and ETS. Finally, an example is given to validate the effectiveness of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108048"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145099109","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}
Ranxin Dong , Changchun Hua , Hao Li , Pengju Ning , Ranbo Dong
{"title":"Asymptotic tracking control for uncertain interconnected time-delay nonlinear systems with enhanced prescribed performance","authors":"Ranxin Dong , Changchun Hua , Hao Li , Pengju Ning , Ranbo Dong","doi":"10.1016/j.jfranklin.2025.108053","DOIUrl":"10.1016/j.jfranklin.2025.108053","url":null,"abstract":"<div><div>For nonlinear systems with state interconnection and time-delay, a unified finite-time prescribed performance control (FTPPC) method is proposed. To unify the traditional funnel-shaped finite-time prescribed performance functions (FTPPFs) and enhanced tunnel-shaped FTPPFs into one expression, this paper designs the novel FTPPFs which are related to the initial values of the tracking errors. By integrating the designed FTPPFs with appropriate adaptation laws, a decentralized control algorithm which achieves asymptotic tracking is developed. The proposed controllers also remove the limitation that the design parameters depend on the initial values of virtual errors. The boundedness of all closed-loop signals is rigorously proved by Lyapunov functions. Finally, the effectiveness of the proposed controllers is verified through the practical simulation and comparative simulation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108053"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145269333","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}
{"title":"Consensus of time-delay finite-field networks via set stability of block logical dynamical systems","authors":"Mengyuan Qin, Haitao Li","doi":"10.1016/j.jfranklin.2025.108049","DOIUrl":"10.1016/j.jfranklin.2025.108049","url":null,"abstract":"<div><div>The aim of this paper is to solve the consensus problem of time-delay finite-field networks (TDFFNs), which is achieved by the set stability of block logical dynamical systems (BLDSs). Firstly, a necessary and sufficient condition is presented for the set stability of BLDSs through the construction of all attractors. Secondly, the dynamics of TDFFNs is converted to the form of BLDSs, and it is shown that the consensus of TDFFNs is equivalent to the set stability of the corresponding BLDSs. Thirdly, a verifiable criterion is proposed for the consensus of TDFFNs. Finally, the validity of the results is demonstrated by two concrete numerical examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108049"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145098423","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}
{"title":"Event-triggered consensus for delayed multi-agent systems based on non-uniform delay partition","authors":"Xue Yu, Gang Wang, Ce Liang, Jinhai Liu","doi":"10.1016/j.jfranklin.2025.108047","DOIUrl":"10.1016/j.jfranklin.2025.108047","url":null,"abstract":"<div><div>This paper develops an event-triggered consensus for multi-agent systems (MASs) with time-varying delay. First, a dynamic event-triggered scheme with an internal dynamic variable is developed to effectively reduce communication. Then, a novel switched controller is designed based on the event-triggered state updates to address the asynchronous behavior induced by time-varying delay. Furthermore, by combining the non-uniform delay partition method with the proposed improved reciprocally convex inequality, the conservatism of MASs is reduced. Finally, the validity of the developed method is illustrated by simulations on robots under both fixed and switched network topologies.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108047"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145098425","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}
Jiangyan He , Xing Guo , Yifeng Niu , Lianghao Ji , Zili Chen
{"title":"Secure intermittent impulsive synchronization control for LF-MASs with sensor delays and cyber attacks","authors":"Jiangyan He , Xing Guo , Yifeng Niu , Lianghao Ji , Zili Chen","doi":"10.1016/j.jfranklin.2025.108052","DOIUrl":"10.1016/j.jfranklin.2025.108052","url":null,"abstract":"<div><div>This paper studies the mean-square bounded synchronization problem of leader-following multi-agent systems (LF-MASs) in the presence of sensor delays and cyber attacks. In relation to prior research, this paper considers a new dual-channel cyber attack mode: (1) edge-based deception attacks on the sensor-controller channel, and (2) denial-of-service (DoS) attacks on the controller-actuator channel. To tackle this challenging problem, a novel intermittent secure impulsive control protocol is proposed. In this protocol, the agents receive the delayed and false data from their neighbors, and the impulses are not triggered during the duration of DoS attacks, which not only saves energy, but also reduces the risk of edge-based deception attacks from the sensor-controller channel. Further, by applying Lyapunov stability theory and stochastic analysis theory, some criteria for the mean-bounded synchronization of LF-MASs under the intermittent impulsive control protocol are obtained. Finally, the obtained results are verified by two examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108052"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145098424","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}
{"title":"Stabilization of stochastic highly nonlinear coupled systems with non-random switching via delay feedback control","authors":"Yiyang Li, Ying Zhao, Xiaotai Wu","doi":"10.1016/j.jfranklin.2025.108044","DOIUrl":"10.1016/j.jfranklin.2025.108044","url":null,"abstract":"<div><div>In this paper, we address the problem of stabilization for stochastic highly nonlinear coupled systems with non-random switching via delay feedback control. Specifically, in the absence of linear growth condition, non-random switching signals are introduced for the first time into stochastic highly nonlinear coupled systems, which renders existing Markovian switching based methods inapplicable to this paper. To fill this gap, a new stochastic analysis method is introduced, and the existence and uniqueness of the solution for stochastic highly nonlinear coupled systems are obtained. Furthermore, the stochastic highly nonlinear coupled switching systems can achieve delay-dependent exponential stability, and a clear upper bound of the delay can be acquired by the proposed approach, which is different from Halanay-type differential inequalities. Finally, a numerical example is presented, and the theoretical results are applied to nonlinear RLC circuit model to illustrate the effectiveness of the obtained results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108044"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145221986","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}
{"title":"Frequency regulation of an interconnected cyber-physical power system","authors":"Srikanth Bondalapati , Rajeeb Dey , Rupak Datta , Mathieu Bajodek","doi":"10.1016/j.jfranklin.2025.108043","DOIUrl":"10.1016/j.jfranklin.2025.108043","url":null,"abstract":"<div><div>In this article, first a new hybrid Cyber-Physical Power System (CPPS) model to cater to the ancillary service of Load Frequency Control (LFC) for an interconnected power system is proposed. The proposed hybrid model considers network-induced delay and aperiodic sampling as time-triggered phenomena, while Bernoulli distributed stochastic data packet loss is considered as discrete network events that are independent of each other unlike in other literature of Cyber-Physical System (CPS). Secondly, a two-term Memory-based sampled-data control (MSDC) with state feedback and <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> disturbance rejection criteria under variable sampling is designed. The design is accomplished for the proposed model with an improved Lyapunov-Krasovskii (LK) functional & adopting compatible integral inequality to handle the cyber domain (or network) constraints with a view to guarantee stability and disturbance attenuation of the system for a maximum delay upper bound and sampling interval. The effectiveness of the proposed control design is validated through transient and steady state response results and specifications compared to existing results under different digital communication constraints & scenarios. Further, a robustness study is carried out for the proposed CPPS under cyber attacks on the actuator side of the network as a disturbance to present the efficacy of the control design and model.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108043"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145105558","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}
{"title":"Practically fast finite-time stability in the mean square of stochastic nonlinear systems with broad learning system","authors":"Shixiong Fang , Yixuan Yuan , Mengqing Cheng , Kanjian Zhang , Junsheng Zhao","doi":"10.1016/j.jfranklin.2025.108041","DOIUrl":"10.1016/j.jfranklin.2025.108041","url":null,"abstract":"<div><div>This article examines the fast finite-time stability in the mean square of a class of stochastic nonlinear systems with unmeasurable states. The state of the system under consideration in this article is unmeasurable, in contrast to the conventional finite-time control of stochastic nonlinear systems. First, during the control design process, the corresponding state observer is constructed using the broad learning system technique to solve the state unmeasurable problem. Secondly, in practical applications stochastic disturbance is an unavoidable phenomenon frequently leading to system instability. By combining Itô’s formula and the theory of practically fast finite-time stability in the mean square, adaptive controllers and actual controller are skillfully designed. Meanwhile, the barrier Lyapunov function is adopted to solve the issue that the state of the system is constrained by an asymmetric time-varying function. Finally, the effectiveness of the proposed methodology is illustrated and validated using a cascade chemical reactor system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108041"},"PeriodicalIF":4.2,"publicationDate":"2025-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145098422","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}
{"title":"Entropy optimization based linear compensation for performance enhancement of NMPC and its applications","authors":"Xiaoyang Sun , Ping Zhou , Tianyou Chai","doi":"10.1016/j.jfranklin.2025.108046","DOIUrl":"10.1016/j.jfranklin.2025.108046","url":null,"abstract":"<div><div>For non-Gaussian nonlinear dynamic systems, an enhanced nonlinear model predictive control (NMPC) method driven by error entropy optimization based linear compensation is proposed to improve the control effect of NMPC algorithm under non-Gaussian noise. The proposed enhanced NMPC method mainly includes two parts, namely the basic NMPC part and the proposed entropy optimization based linear compensation control part. In general, the cost function to measure the control effect in predictive control is only the mean and variance, but it lacks sufficient optimization effect for non-Gaussian noise. Therefore, based on the relationship between the error entropy, estimated state and control input constructed in this paper, the optimal compensation input is obtained by optimizing the weights in the form of a gradient descent algorithm under the designed cost function. Thus, the error entropy optimization is introduced into NMPC which effectively improves the control effect. The upper bound of the control error and the state estimation error caused by non-gaussian noise are analyzed by induction reasoning to ensure the bounded-input bounded-output stability of the proposed method. The data experiments of the wastewater treatment process and blast furnace Ironmaking process verify the advancement and practicability of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 15","pages":"Article 108046"},"PeriodicalIF":4.2,"publicationDate":"2025-09-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145060405","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}