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

Fast control of a laminated Timoshenko beam system with only boundary inputs 仅边界输入的层合Timoshenko梁系统的快速控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-30 DOI: 10.1016/j.jfranklin.2025.107742

Guangwei Chen, Junfei Qiao

{"title":"Fast control of a laminated Timoshenko beam system with only boundary inputs","authors":"Guangwei Chen, Junfei Qiao","doi":"10.1016/j.jfranklin.2025.107742","DOIUrl":"10.1016/j.jfranklin.2025.107742","url":null,"abstract":"<div><div>In this paper, we investigates the fast control problem of double-layer Timoshenko composite beam under unique boundary conditions characterized by anti-damping and anti-stiffness terms. Building upon our previous findings concerning single-layer Timoshenko beam, we explore novel aspects including the achievement of an arbitrarily swift decay rate for the double-layer Timoshenko composite beam and the impact of boundary characteristics that potentially lead to rapid divergence. Our methodology revolves around a transformative approach: proposing a Riemann-like transformation to convert the state variables of double-layer Timoshenko beams into a 1-D hyperbolic system integrating partial integro-differential equations (PIDEs) and ordinary differential equations (ODEs). Then we harness PDE backstepping techniques to design a control law ensuring closed-loop stability at the origin in the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> norm. The adjustable control parameters facilitates the attainment of arbitrarily rapid convergence rates. Moreover, we extend our control approach to accommodate longitudinal dynamics, yielding comparable outcomes of significant merit. Finally, the numerical simulation verifies our theoretical result.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107742"},"PeriodicalIF":3.7,"publicationDate":"2025-06-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144523227","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

Algorithm for crack detection of terracotta warriors based on fusion of multi-network hyperspectral images 基于多网络高光谱图像融合的兵马俑裂纹检测算法

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-28 DOI: 10.1016/j.jfranklin.2025.107860

Shi Qiu , Pengchang Zhang , Xingjia Tang , Zimu Zeng , Siyuan Li , Bingliang Hu

{"title":"Algorithm for crack detection of terracotta warriors based on fusion of multi-network hyperspectral images","authors":"Shi Qiu , Pengchang Zhang , Xingjia Tang , Zimu Zeng , Siyuan Li , Bingliang Hu","doi":"10.1016/j.jfranklin.2025.107860","DOIUrl":"10.1016/j.jfranklin.2025.107860","url":null,"abstract":"<div><div>Terracotta warriors possess significant historical research value. Affected by environmental and human factors, they often exhibit varying degrees of defects, with cracks being the most common and having a high rate of missed detection, which leads to oversight in restoration processes. Hyperspectral images can simultaneously reflect material composition information and penetrate the shallow surface layer, enabling crack detection in this layer. This used hyperspectral methods to obtain information on terracotta warriors as follows: 1) Constructed a RGB and spectral database of terracotta warriors; 2) Simulated visual perception, focused on RGB spectral information, proposed a Visual Geometry Group (VGG) algorithm based on attention mechanisms to locate regions of cracks; 3) Focused on hyperspectral information, proposed an algorithm based on improved DeepLabv3+ to acquire shallow surface information. And VGG algorithm based on attention mechanisms and the improved DeepLabv3+ algorithm were fused to achieve crack detection. To validate the effectiveness of the algorithm, the research constructed a dataset of 300 groups containing cracks using hyperspectral data, and archaeologists annotated the cracks using visual and reverse confirmation methods as the ground truth. Experiments show that Mean Pixel Accuracy (MPA) of the proposed algorithm reaches 90.1 %, which is 19.5 % higher than that of the traditional Canny algorithm. This approach can assist conservation personnel in providing a basis for the protection and restoration of terracotta warriors.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107860"},"PeriodicalIF":3.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144523229","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

Adaptive observer design and control for nonlinear systems with Hölderian dynamics 具有Hölderian动力学的非线性系统的自适应观测器设计与控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-28 DOI: 10.1016/j.jfranklin.2025.107835

Amadou Cissé

{"title":"Adaptive observer design and control for nonlinear systems with Hölderian dynamics","authors":"Amadou Cissé","doi":"10.1016/j.jfranklin.2025.107835","DOIUrl":"10.1016/j.jfranklin.2025.107835","url":null,"abstract":"<div><div>This paper introduces a Generalized Adaptive Nonlinear Observer (GANO) for state estimation in nonlinear systems exhibiting Hölder-like and non-differentiable dynamics. Traditional observer designs often fail under such conditions due to their reliance on strict Lipschitz continuity. By employing adaptive gains and generalized nonlinear corrections, the proposed method achieves robust performance in the presence of both stochastic disturbances and structural uncertainties. Theoretical guarantees are provided for both deterministic and stochastic scenarios, ensuring convergence of the estimation error. The observer is further integrated into adaptive control schemes, demonstrating effective stabilization of uncertain nonlinear systems. Numerical experiments involving nonlinear oscillators, electromechanical systems, and chaotic models with random perturbations confirm the method’s accuracy, robustness, and broad applicability. This contribution advances the state of the art in observer design by addressing the estimation problem for systems with weak regularity and unpredictable behaviors.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107835"},"PeriodicalIF":3.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144511149","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

Finite-time port-controlled Hamiltonian design for second-order dynamical systems 二阶动力系统的有限时间端口控制哈密顿设计

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-28 DOI: 10.1016/j.jfranklin.2025.107834

Saeed Rafee Nekoo , Begoña C. Arrue , Anibal Ollero

{"title":"Finite-time port-controlled Hamiltonian design for second-order dynamical systems","authors":"Saeed Rafee Nekoo , Begoña C. Arrue , Anibal Ollero","doi":"10.1016/j.jfranklin.2025.107834","DOIUrl":"10.1016/j.jfranklin.2025.107834","url":null,"abstract":"<div><div>Finite-time design is not common in classical controllers, and the ones in the literature are not usually robust. The state-dependent differential Riccati equation (SDDRE) is an optimal nonlinear design in the company of a finite-horizon cost function that manipulates the terminal time using a weighting matrix of states. This method is sensitive to parametric model uncertainty, though its finite time characteristics can be augmented with other controllers. Port-controlled Hamiltonian (PCH) design can present a robust control law by defining the desired inertia matrix in the reference Hamiltonian function. The PCH is not finite-time; however, it can be modified using the suboptimal gain of the SDDRE controller. This paper combines the SDDRE and the PCH design to present a novel nonlinear controller with both finite-time and robust behavior toward parameter uncertainty in modeling. The finite-time behavior refers to the capability of controlling a system with different final times, as the input parameter to the system (or finishing a control task in a predefined time). The analytical stability proof of the proposed input law has been addressed using Lyapunov’s second method. The modified PCH is applied to second-order dynamical systems; as an illustrative example, a two-degree-of-freedom (DoF) inverted pendulum has been simulated and compared with a proportional–derivative (PD) control and a PCH with constant PD gains. A four-DoF robot arm was also simulated to highlight the application of the proposed method on complex systems. The introduced method outperformed the classical ones and showed finite-time regulation with different terminal times.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107834"},"PeriodicalIF":3.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144523225","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

Fast finite-time stabilization of switched stochastic low-order nonlinear systems with asymmetric time-varying output constraints 具有非对称时变输出约束的开关随机低阶非线性系统的快速有限时间镇定

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-28 DOI: 10.1016/j.jfranklin.2025.107823

Ying Liu , Hui Wang , Quanxin Zhu

{"title":"Fast finite-time stabilization of switched stochastic low-order nonlinear systems with asymmetric time-varying output constraints","authors":"Ying Liu , Hui Wang , Quanxin Zhu","doi":"10.1016/j.jfranklin.2025.107823","DOIUrl":"10.1016/j.jfranklin.2025.107823","url":null,"abstract":"<div><div>This paper investigates the problem of fast finite-time stabilization for switched stochastic low-order nonlinear systems (SSLNSs) with time-varying powers and output constraints. Firstly, we establish a Lyapunov criterion on fast finite-time stability for switched stochastic nonlinear systems (SSNSs). By dividing the operating time into several intervals and analyzing the system’s performance within each interval, the challenges introduced by deterministic switching signals are effectively addressed. Secondly, an asymmetric nonlinear mapping (ANM) is proposed to deal with asymmetric time-varying output constraints. The ANM method overcomes the limitation of barrier Lyapunov function (BLF) method by circumventing the challenge of radial unboundedness associated with BLFs, providing an innovative solution for stabilizing non-Lipschitzian stochastic systems subject to output constraints. Finally, a fast finite-time controller (fast FTCr) incorporating two distinct power terms is designed for a class of SSLNSs. The uncertainties associated with time-varying powers are addressed, and the objective of fast finite-time stabilization is also successfully realized. The efficacy of the proposed control strategy is validated through numerical and simulation examples.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107823"},"PeriodicalIF":3.7,"publicationDate":"2025-06-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518163","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

Distributed fault-tolerant containment control for heterogeneous piecewise affine multi-agent systems with two-layer structure 异构分段仿射两层多智能体系统的分布式容错控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-27 DOI: 10.1016/j.jfranklin.2025.107802

Shuyi Xiao , Gaowei Yan , Xin Huang , Rong Li

{"title":"Distributed fault-tolerant containment control for heterogeneous piecewise affine multi-agent systems with two-layer structure","authors":"Shuyi Xiao , Gaowei Yan , Xin Huang , Rong Li","doi":"10.1016/j.jfranklin.2025.107802","DOIUrl":"10.1016/j.jfranklin.2025.107802","url":null,"abstract":"<div><div>This paper presents a novel distributed fault-tolerant containment control protocol with two-layer structure for heterogeneous multi-agent systems in which agents are subjected to unknown actuator failures and external disturbances. Especially, the follower agents in this paper are modeled as piecewise affine systems, which can approximate nonlinear systems with arbitrary accuracy, and thus can be applied to more general cases. From the perspective of functional implementation and avoiding fault propagation, the distributed two-layer containment control framework which composed of virtual layer and actual layer is introduced. In this way, the original problem is converted into the containment control issue of virtual layer and the tracking control issue of actual layer. In addition, in order to guarantee the transient performance of agents under actuator failures, the fault-tolerant tracking controller relying on a time-varying performance function is proposed. Finally, simulation studies clarify and verify the developed approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107802"},"PeriodicalIF":3.7,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144501382","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

Intermittent stabilization for the spatial-multiple-fractional advection–diffusion–reaction system with time-varying delay driven by Brown motion 布朗运动驱动时变时滞空间-多分数阶平流-扩散-反应系统的间歇稳定

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-27 DOI: 10.1016/j.jfranklin.2025.107776

Xing-Yu Li , Kai-Ning Wu , Yongxin Wu

引用次数: 0

Fault-tolerant control and zonotopic interval estimation for discrete-time linear systems based on an event-triggered mechanism 基于事件触发机制的离散线性系统容错控制与分区区间估计

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-27 DOI: 10.1016/j.jfranklin.2025.107782

Mingliang Tian , Zhihua Guo , Xiangqing Niu , Ben Niu , Chenguang Ning , Wenqi Zhou

{"title":"Fault-tolerant control and zonotopic interval estimation for discrete-time linear systems based on an event-triggered mechanism","authors":"Mingliang Tian , Zhihua Guo , Xiangqing Niu , Ben Niu , Chenguang Ning , Wenqi Zhou","doi":"10.1016/j.jfranklin.2025.107782","DOIUrl":"10.1016/j.jfranklin.2025.107782","url":null,"abstract":"<div><div>This article investigates the problems of fault-tolerant controller (FC) design and zonotopic interval estimation for a class of discrete-time linear systems subject to unknown-but-bounded (UBB) disturbances and measurement noise. Firstly, a state observer and a fault observer are developed to estimate the system state and the sensor fault based on a designed event-triggered mechanism (ETM). Unlike most existing works, the parameter matrices of the FC and the parameters of the ETM are co-designed, reducing conservatism of parameter design while ensuring system performance. Next, to minimize the influence of unknown disturbances and measurement noise on observation accuracy, the <span><math><msub><mrow><mi>l</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> technique is used to optimize the observer gain. Additionally, using the designed observers, the possible intervals of states and sensor faults are determined through reachability analysis using zonotopes. Finally, a simulation of a well-stirred chemical reactor is performed to validate the effectiveness of the proposed approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107782"},"PeriodicalIF":3.7,"publicationDate":"2025-06-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518164","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

Model-free optimal control for discrete-time Markovian jump linear systems: A Q-learning approach 离散马尔可夫跳变线性系统的无模型最优控制：一种q -学习方法

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-25 DOI: 10.1016/j.jfranklin.2025.107784

Ehsan Badfar, Babak Tavassoli

{"title":"Model-free optimal control for discrete-time Markovian jump linear systems: A Q-learning approach","authors":"Ehsan Badfar, Babak Tavassoli","doi":"10.1016/j.jfranklin.2025.107784","DOIUrl":"10.1016/j.jfranklin.2025.107784","url":null,"abstract":"<div><div>This paper presents a model-free optimal control strategy for discrete-time Markovian Jump Linear Systems (MJLS) using a Q-learning-based reinforcement learning (RL) framework. Conventional model-based control techniques for MJLS rely on full knowledge of system dynamics and the solution of coupled algebraic Riccati equations (CARE), which may not be feasible in many practical scenarios. To overcome this limitation, we propose a novel Q-function formulation that explicitly incorporates the Markovian switching behavior of the system. An off-policy Q-learning algorithm is developed to estimate the kernel matrix of the Q-function directly from raw input-state data, enabling the computation of optimal controller gains without requiring system models. We rigorously prove that the learned controller gains converge to those of the model-based optimal controller, thereby ensuring mean-square stability. Simulation results on a networked control system with Markovian packet losses demonstrate the convergence, stability, and practical effectiveness of the proposed model-free controller.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107784"},"PeriodicalIF":3.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144491563","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

Blind source separation using novel independence interpretations for bounded support random vector 基于有界支持随机向量独立解释的盲源分离

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-25 DOI: 10.1016/j.jfranklin.2025.107819

Bhaveshkumar C. Dharmani , Suman Kumar Mitra , Ayanendranath Basu

{"title":"Blind source separation using novel independence interpretations for bounded support random vector","authors":"Bhaveshkumar C. Dharmani , Suman Kumar Mitra , Ayanendranath Basu","doi":"10.1016/j.jfranklin.2025.107819","DOIUrl":"10.1016/j.jfranklin.2025.107819","url":null,"abstract":"<div><div>Amidst the various existing<em>contrast</em>s for <em>Independent Component Analysis</em> (ICA) and <em>Blind Source Separation</em> (BSS), there remains a demand for a contrast that provides higher accuracy with low computational cost – even when large scale – while remaining unbiased to a particular distribution and robust against outliers and varying sample sizes. Towards this demand, the current article first derives some novel interpretations of statistical independence for bounded support random vectors and then uses those interpretations to develop new class of BSS <em>contrast</em>s. Among them, the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span>-norm based <em>contrast</em>s are proved to be robust and estimated directly, in a single stage, using closed-form expressions provided by kernel based linear least squares method. The estimations also serve to extend the existing analogy between <em>Information Theory</em> and <em>Potential Field Theory</em> by introducing a concept of reference information potential. The article uses Genetic Algorithm (GA) and its’ newly derived variant, which is computationally more efficient at higher dimensions, as a global optimization technique within Search for Rotation based ICA (SRICA) algorithm framework. Overall, the simulations prove that the proposed BSS solutions combining the newly derived <em>contrast</em>s with the GA variant for optimization, achieve better separation quality even at large scale and with fewer samples. Furthermore, they remain blind against the distribution of source signals, are robust against outliers, able to avoid misconvergence at local optima, and offer greater accuracy with lower computational cost compared to even exhaustive search methods.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107819"},"PeriodicalIF":3.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144501381","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