{"title":"Fuzzy adaptive event-triggered platoon control of multi-vehicle with input saturation","authors":"Shijie Dong, Junyong Zhai","doi":"10.1016/j.jfranklin.2025.108054","DOIUrl":"10.1016/j.jfranklin.2025.108054","url":null,"abstract":"<div><div>This paper studies the observer-based fuzzy adaptive event-triggered (ET) platoon control problem of connected multi-vehicle (CMV) with input saturation. Considering the network resource and communication bandwidth are limited, a novel ET mechanism is designed to reduce signals transmission frequency from sensor to controller (S-C) and vehicle-to-vehicle (V2V) in vehicular ad-hoc network (VANET). And, the virtual control non-differentiability issue caused by triggered discontinuous states is overcome by designing the homogeneous filters and event-based extended state observers (ESOs), to generate smooth estimates of states and disturbances. Then, fuzzy logic systems (FLSs) are introduced to approximate unknown functions of vehicle systems. To eliminate the adverse effects of input saturation, an auxiliary homogeneous system is devised. Based on Lyapunov stability theory, all signals of the closed-loop system are proven to be semi-globally uniformly ultimately bounded (SGUUB), vehicle individual stability and string stability are achieved. Finally, the simulation studies are displayed to explain the effectiveness of the ET platoon control protocol.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108054"},"PeriodicalIF":4.2,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145098428","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}
Chenxin Wu , Mingang Hua , Ni Sun , Feiqi Deng , Hua Chen , Fengqi Yao , Jianyong Zhang
{"title":"HMM-based asynchronous H∞ filtering for interval type-2 fuzzy Markov jump systems with dynamic quantization and uncertain transition probabilities","authors":"Chenxin Wu , Mingang Hua , Ni Sun , Feiqi Deng , Hua Chen , Fengqi Yao , Jianyong Zhang","doi":"10.1016/j.jfranklin.2025.108051","DOIUrl":"10.1016/j.jfranklin.2025.108051","url":null,"abstract":"<div><div>Based on the interval type-2 (IT2) fuzzy approach, this paper addresses the asynchronous <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> filtering for nonlinear Markov jump systems with dynamic quantization and uncertain transition probabilities. The hidden Markov model (HMM) solves the asynchronous issue between the filter and system modes. Meanwhile, the system has uncertain transition probabilities, which means the transition probability matrix and conditional probability matrix investigated in this paper are partially unknown. Furthermore, the IT2 fuzzy approach, with upper and lower membership functions, has been devoted to processing parameter uncertainty in nonlinear systems. The measurement output is subjected to a quantization process facilitated by a dynamic quantizer before its transmission. Ultimately, the stochastic stability criterion of the desired asynchronous <span><math><msub><mi>H</mi><mi>∞</mi></msub></math></span> filtering for IT2 fuzzy systems is effectively guaranteed, and an example illustrates the efficacy of the desired filter design methodology.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108051"},"PeriodicalIF":4.2,"publicationDate":"2025-09-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145156829","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":"Design of prescribed time control method for pressure of solid ducted rockets","authors":"Yudan Jing, Jingbo Wei, Danyu Li","doi":"10.1016/j.jfranklin.2025.108036","DOIUrl":"10.1016/j.jfranklin.2025.108036","url":null,"abstract":"<div><div>This paper addresses the pressure control problem in Solid Ducted Rockets (SDRs), characterized by significant time-varying dynamics, non-minimum phase behavior, and model uncertainties. A prescribed time (PT) theorem is developed, leading to the design of a single-parameter controller that guarantees pressure tracking error convergence within a user-defined time, independent of initial conditions. Numerical simulations employ a 4 s period, 50 % duty cycle square-wave pressure command across four operating conditions, spanning low and high pressure regimes. Results demonstrate zero pressure overshoot under the proposed PT controller across all conditions. The proposed PT controller achieves pressure error convergence within 0.05–0.09 s, approximately 55.6–73.7 % faster than a tuned PID controller and 25–44.4 % faster than the prior PT controller. Compared to the prior PT controller, the maximum negative mass flow overshoot is reduced by up to 51.5 %; relative to the PID controller, the reduction reaches up to 86.6 %, and up to 86.6 % compared to the MPC controller. A rigorous Lyapunov-based analysis proves global convergence within the prescribed time and robustness under bounded disturbances. The controller’s robustness is further substantiated through Monte Carlo simulations, demonstrating resilience against external disturbances, and parameter mismatch simulations, verifying reliable performance despite model uncertainties. Featuring a single, physically interpretable design parameter, the controller facilitates intuitive tuning and continuous regulation, delivering rapid, robust, and precise pressure control for complex, time-sensitive systems.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108036"},"PeriodicalIF":4.2,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145098426","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":"Convergence analysis of distributed optimization for multi-agent systems with nonlinear intertwining uncertainties","authors":"Sen Chen, Depeng Song, Junlong He","doi":"10.1016/j.jfranklin.2025.108050","DOIUrl":"10.1016/j.jfranklin.2025.108050","url":null,"abstract":"<div><div>The paper investigates the distributed optimization for continuous-time multi-agent systems in the presence of nonlinear intertwining uncertainties. The agents only communicate with their neighbors and are expected to reach the optimal point such that the global cost function comprising a sum of local cost functions is minimized. The uncertainties are dependent on the states of all agents and have nonlinear growth rate. To handle the nonlinear intertwining uncertainties, a new distributed optimization algorithm is proposed, which consists of four parts: the estimation of uncertainties by reduced order extended state observer, uncertainty compensation, distributed coordination strategy, and local gradient descent. Then the bound of optimal error is provided as a function with respect to the tunable parameters in the developed method. Moreover, by analyzing the coupling dynamics of agents and estimating errors, the convergence of the proposed method is proved under a mild condition for nonlinear uncertainties.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 16","pages":"Article 108050"},"PeriodicalIF":4.2,"publicationDate":"2025-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145098427","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":"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}
{"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}