Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第6页

Controllability and near-controllability of a class of discrete-time bilinear systems with uncertainties 一类不确定离散双线性系统的可控性和近可控性

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-24 DOI: 10.1016/j.jfranklin.2026.108451

Yuhan Liu , Lingxiang Cheng , Lin Tie

{"title":"Controllability and near-controllability of a class of discrete-time bilinear systems with uncertainties","authors":"Yuhan Liu , Lingxiang Cheng , Lin Tie","doi":"10.1016/j.jfranklin.2026.108451","DOIUrl":"10.1016/j.jfranklin.2026.108451","url":null,"abstract":"<div><div>In this paper, we study a class of discrete-time bilinear systems, which can be considered as linear time-invariant systems with state-coupled multiplicative perturbations. We present necessary and sufficient algebraically verifiable criteria on controllability and near-controllability of the bilinear systems, respectively. The presented criteria reveal that the controllability property of discrete-time linear time-invariant systems can be preserved or enhanced under state-coupled multiplicative perturbations, even if the multiplicative factors are unknown. Furthermore, we also investigate robust controllability and robust near-controllability of the bilinear systems subject to parametric uncertainties and provide algebraically verifiable criteria. These results enrich the controllability theory of uncertain nonlinear systems and offer a new perspective: nonlinear uncertainty, traditionally viewed as detrimental, may serve as a structural advantage in system controllability. Examples are given to illustrate the controllability criteria of this paper.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108451"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079781","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

Two-stage gradient-based iterative algorithms for the Hammerstein nonlinear systems with non-uniform sampling using the key term separation 基于关键项分离的非均匀采样Hammerstein非线性系统的两阶段梯度迭代算法

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-16 DOI: 10.1016/j.jfranklin.2026.108416

Hongchen Qin , Yan Ji

引用次数: 0

L1 adaptive prescribed-time control L1自适应规定时间控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-22 DOI: 10.1016/j.jfranklin.2026.108436

Yongwei Zhu , Shulong Zhao , Jiayi Zheng , Xiangke Wang , Yirui Cong , Zongyu Zuo

{"title":"L1 adaptive prescribed-time control","authors":"Yongwei Zhu , Shulong Zhao , Jiayi Zheng , Xiangke Wang , Yirui Cong , Zongyu Zuo","doi":"10.1016/j.jfranklin.2026.108436","DOIUrl":"10.1016/j.jfranklin.2026.108436","url":null,"abstract":"<div><div>This paper develops an <span><math><mrow><msub><mi>L</mi><mn>1</mn></msub></mrow></math></span> adaptive prescribed-time control (PTC) to address external perturbations and uncertainties, where a low-pass filter with time-varying cutoff frequency is proposed. A generalized time-varying scaling function is introduced to achieve prescribed-time control (PTC) and practical prescribed-time control (PPTC). The proposed control strategy innovatively incorporates the design philosophy of <span><math><msub><mi>L</mi><mn>1</mn></msub></math></span> adaptation into PTC to achieve smooth convergence and effective management of external perturbations and uncertainties. The <span><math><mrow><msub><mi>L</mi><mn>1</mn></msub></mrow></math></span> adaptive control framework ensures the capability to achieve PTC by elaborately setting the time-varying cutoff frequency. The proposed method also achieves the uniform distribution of the control energy over the time interval. It reduces the sensitivity of the control energy subject to abnormal initial states or time-varying functions that tend to infinity. Finally, we present numerical simulations and comparisons with existing methods to demonstrate effectiveness and superiority of the proposed <span><math><mrow><msub><mi>L</mi><mn>1</mn></msub></mrow></math></span> adaptive PTC.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108436"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079784","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

Decentralized data-driven control of large-scale discrete-time delayed systems with application to vehicle formations 大规模离散时滞系统的分散数据驱动控制及其在车辆编队中的应用

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-16 DOI: 10.1016/j.jfranklin.2026.108417

Jin Zhang , Ziqi Cao , Chen Peng , Songlin Hu

{"title":"Decentralized data-driven control of large-scale discrete-time delayed systems with application to vehicle formations","authors":"Jin Zhang , Ziqi Cao , Chen Peng , Songlin Hu","doi":"10.1016/j.jfranklin.2026.108417","DOIUrl":"10.1016/j.jfranklin.2026.108417","url":null,"abstract":"<div><div>This paper studies the stabilization problem of large-scale discrete-time systems with state delays. Recently, a data-driven approach to design a state feedback controller via data-based formulas is proposed in a centralized manner. In this paper, we extend this design to large-scale discrete-time delay systems. First, we present data-based formulas to represent the original subsystem by using its own input-state data and the state data of its neighbors. Then, by applying the Lyapunov-Krasovskii (L-K) approach, data-based sufficient conditions are obtained in terms of linear matrix inequalities (LMIs) that ensure the exponential stability of large-scale systems. Then, a criterion for designing state feedback controllers that stabilize the system is presented through a set of solvable LMIs. In addition, we incorporate cost control and <em>H</em><sub>∞</sub> control into the controller design. Finally, the efficiency of the proposed method is validated through two examples including a platoon of heavy-duty vehicles (HDVs).</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108417"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025400","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

Event-triggered and self-triggered control strategy design for discrete-time switched affine systems 离散时间切换仿射系统的事件触发和自触发控制策略设计

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-18 DOI: 10.1016/j.jfranklin.2026.108439

Zhuoyu Li , Jin Qi , Yanfei Sun , Hong Sang

{"title":"Event-triggered and self-triggered control strategy design for discrete-time switched affine systems","authors":"Zhuoyu Li , Jin Qi , Yanfei Sun , Hong Sang","doi":"10.1016/j.jfranklin.2026.108439","DOIUrl":"10.1016/j.jfranklin.2026.108439","url":null,"abstract":"<div><div>This paper deals with the event-triggered and self-triggered mechanisms design problem of discrete-time switched affine systems. Different from the classical switched linear systems, the subsystems of switched affine systems do not possess a common equilibrium point. In full consideration of the characteristics of switched affine systems, the mode-dependent event-triggered and self-triggered control schemes are formulated to guarantee that the system trajectory converges to a region containing the desired equilibrium point. Especially, the triggering interval of self-triggered mechanism is related to affine terms. An average dwell time switching law, a set of controller feedback gains together with the proposed event-triggered and self-triggered mechanisms are collaboratively designed by using multiple Lyapunov stability theory. Notably, the proposed discrete-time framework inherently precludes the switching and triggering Zeno behavior. To the best of the authors’ knowledge, this study represents the first attempt of addressing the event-triggered and self-triggered control problem specifically in discrete-time switched affine systems domain. Alongside, a DC-DC buck-boost converter example ultimately illustrates the validity of the raised theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108439"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025403","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

Practical inverse optimal adaptive tracking control for uncertain stochastic nonlinear systems with state constraints 具有状态约束的不确定随机非线性系统的实用逆最优自适应跟踪控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-02-02 DOI: 10.1016/j.jfranklin.2026.108458

Bowen Sun, Xiaowu Mu, Zenghui Hu

引用次数: 0

Fuzzy adaptive prescribed performance control for stochastic nonlinear non-strict feedback systems with multiple delays and unmodeled dynamics 多时滞未建模随机非线性非严格反馈系统模糊自适应规定性能控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-14 DOI: 10.1016/j.jfranklin.2026.108407

Xin Jin , Jiuxiang Dong

{"title":"Fuzzy adaptive prescribed performance control for stochastic nonlinear non-strict feedback systems with multiple delays and unmodeled dynamics","authors":"Xin Jin , Jiuxiang Dong","doi":"10.1016/j.jfranklin.2026.108407","DOIUrl":"10.1016/j.jfranklin.2026.108407","url":null,"abstract":"<div><div>This article investigates the fuzzy adaptive prescribed performance control problem for stochastic nonlinear systems in non-strict feedback form with state delays, input delays and unmodeled dynamics. Firstly, by constructing intermediate variables and adopting the Padé approximation method, the original system is transformed into a system only perturbed by state delays. Secondly, aiming at the characteristic of the system’s non-strict feedback structure, a Lyapunov-Krasovskii functional associated with all the state variables is constructed to compensate for the state delay terms. Auxiliary dynamic signals are introduced to deal with the uncertainties arising from unmodeled dynamics. Then, an improved adaptive prescribed performance control strategy is proposed based on the properties of the hyperbolic tangent functions combined with the backstepping method. This strategy achieves higher convergence accuracy and superior tracking performance compared to traditional methods. Analysis demonstrates that all variables in the controlled system are semi-globally bounded in probability, and the tracking error can converge to the preset performance range. A simulation example is conducted to validate the efficacy of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108407"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146079783","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

Saturation control for fractional-order power systems with electric vehicles integration using sampling mechanism and actuator faults 基于采样机构和执行器故障的电动汽车集成分数阶电力系统饱和控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-13 DOI: 10.1016/j.jfranklin.2026.108421

R. Samidurai , M. Yazhini , M. Baskar

{"title":"Saturation control for fractional-order power systems with electric vehicles integration using sampling mechanism and actuator faults","authors":"R. Samidurai , M. Yazhini , M. Baskar","doi":"10.1016/j.jfranklin.2026.108421","DOIUrl":"10.1016/j.jfranklin.2026.108421","url":null,"abstract":"<div><div>The increasing penetration of electric vehicles (EVs) and renewable sources introduces significant challenges to power system stability, including load fluctuations, renewable intermittency, actuator saturation, and possible actuator faults. Existing control approaches often treat these issues separately and fail to capture the memory and hereditary effects inherent in such systems. This paper proposes a resilient fault-tolerant saturation control framework for fractional-order power systems with EV and photovoltaic integration, explicitly considering actuator faults, input saturation, and sampling mechanisms in a unified manner. A fractional-order state-space model combined with a Takagi-Sugeno fuzzy approach is developed to represent nonlinearities and uncertainties. Based on an indirect fractional-order Lyapunov method, less conservative LMI-based stability conditions are derived to guarantee robust asymptotic stability. Numerical simulations demonstrate that the proposed strategy achieves enhanced robustness and reliability against sampling irregularities, actuator failures, and saturation effects, significantly improving the stability and resilience of modern EV-integrated fractional-order power systems.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108421"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025303","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

Trajectory tracking control for quadrotor under wind disturbance based on four-quadrant switch and NMPC 基于四象限开关和NMPC的风扰动四旋翼飞行器轨迹跟踪控制

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-13 DOI: 10.1016/j.jfranklin.2026.108420

Jialiang Liu, Lipeng Wang, Donghui Yuan, Zhenyao Fan

{"title":"Trajectory tracking control for quadrotor under wind disturbance based on four-quadrant switch and NMPC","authors":"Jialiang Liu, Lipeng Wang, Donghui Yuan, Zhenyao Fan","doi":"10.1016/j.jfranklin.2026.108420","DOIUrl":"10.1016/j.jfranklin.2026.108420","url":null,"abstract":"<div><div>This paper proposes a composite nonlinear control method for trajectory tracking of a quadrotor unmanned aerial vehicle (UAV) subject to strong wind disturbances. Initially, the dynamic model of the quadrotor UAV, along with turbulent and shear wind models, are established. Subsequently, for the position subsystem of the quadrotor UAV, a four-quadrant switching-based sliding mode controller (FQS-SMC) is designed. For the control allocation segment, a nonlinear programming (NP)-based control allocator is developed. Finally, for the attitude subsystem, a barrier Lyapunov global sliding mode control based nonlinear model predictive controller (BLGSMC-NMPC) is proposed. The performance of the proposed method is evaluated through three simulation scenarios: planar trajectory, spatial trajectory, as well as a complex trajectory under different wind conditions. The experimental results demonstrate that the composite control method proposed in this paper significantly outperforms the comparative methods in terms of dynamic performance, disturbance rejection, and control smoothness.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108420"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025402","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

Stochastic false data injection attacks against distributed state estimation in interconnected large-scale systems 大规模互联系统分布式状态估计下的随机假数据注入攻击

IF 4.2 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2026-03-01 Epub Date: 2026-01-15 DOI: 10.1016/j.jfranklin.2026.108434

Chuanyi Ning, Fei Hao

{"title":"Stochastic false data injection attacks against distributed state estimation in interconnected large-scale systems","authors":"Chuanyi Ning, Fei Hao","doi":"10.1016/j.jfranklin.2026.108434","DOIUrl":"10.1016/j.jfranklin.2026.108434","url":null,"abstract":"<div><div>In this paper, a novel distributed estimator has been designed for the interconnected large-scale systems (LSSs). In LSSs, the interconnection property of the subsystems makes it difficult to design a distributed estimator. Therefore, an unknown-input observer (UIO)-like observer is introduced to handle the unknown system information. Combined with the Kalman filter, the optimal estimation under Gaussian noises has also been guaranteed. Moreover, the vulnerability of the proposed estimation algorithm under malicious attacks has been investigated, including the conditions of the existence of stealthy false data injection (FDI) attacks. Note that the existing researches mainly focus on the attacks targeted at the wireless channels between the cyber layer and the physical layer in general cyber-physical system (CPS) model. However, as one kind of CPSs, a special feature of the LSS is that the distributed estimators need exchange data through wireless channels in the cyber layer. Motivated by the consideration above, the problem of designing optimal FDI attacks in cyber layer has also been addressed. Finally, simulation results are provided based on the three-area interconnected power system to illustrate the feasibility and advantages of the theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"363 4","pages":"Article 108434"},"PeriodicalIF":4.2,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"146025399","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