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

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Sampling-priors-augmented deep unfolding network for robust video compressive sensing

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107545

Shangzuo Xie, Yuhao Huang, Gangrong Qu, Youran Ge

Video Compressed Sensing (VCS) aims to reconstruct multiple frames from a single captured measurement, enabling high-speed scene recording with a low-frame-rate sensor. Despite recent advancements in VCS, state-of-the-art (SOTA) methods significantly increase model complexity and suffer from poor generality and robustness, as they require retraining to accommodate new system configurations. These limitations hinder real-time imaging and practical deployment. To address these issues, we propose a Sampling-Priors-Augmented Deep Unfolding Network (SPA-DUN) for efficient and robust VCS reconstruction. Leveraging a deep unfolding framework inspired by optimization, we introduce a lightweight and efficient U-net to reduce model size while enhancing performance. Additionally, we incorporate prior knowledge from the sampling model to dynamically modulate network features, allowing SPA-DUN to handle arbitrary sampling settings with a single model. This approach improves interpretability and generality. Extensive experiments on both simulation and real datasets demonstrate that SPA-DUN achieves SOTA performance with remarkable efficiency, offering a highly adaptable solution for VCS. Code is available at: https://github.com/yuhaoo00/SPA-DUN.

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引用次数: 0

Exponential stability for discrete-time singular stochastic systems with semi-Markovian switching

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107521

Mengmeng Zhang, Quanxin Zhu

In this paper, the stability of stochastic discrete-time singular systems with semi-Markovian switching (SMS) is taken into consideration. Based on inherent mode-dependent state jump behaviors, a time-dependent coordinate transformation is established, which is of great importance in discussion. Stochastic disturbances are also considered. Constructing Lyapunov function and applying stochastic analysis techniques, sufficient conditions for exponential stability in mean square and almost surely exponential stability are obtained by considering the probability density function of sojourn-time. Besides, we provide corresponding linear matrix inequalities (LMIs) of the provided sufficient conditions. Finally, the correctness of the results is demonstrated with an example.

引用次数: 0

Admittance control of quadrotor UAV-environment interaction with actuator saturation

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2024.107506

Xing Guo , Qing Li , Qijia Yao , Xiaoya Lu

This study proposes an anti-saturation fixed-time sliding mode control algorithm based on admittance control to address quadrotor UAV-environment interaction subject to actuator saturation. Under admittance control, the UAV is controlled to achieve a compliant behavior in the presence of unknown excessive disturbances from the environment. These disturbances are estimated by using an adaptive fixed-time integral sliding mode disturbance observer that does not require the upper bound information of unknown disturbances. To enhance trajectory tracking performance subject to actuator saturation, an anti-saturation fixed-time sliding mode controller integrating an auxiliary dynamics system is presented to tackle the effect of actuator saturation. Finally, the superiority and effectiveness of the proposed controller are demonstrated through comparative analysis with other controllers.

引用次数: 0

Quantized repetitive tracking control for Markovian jump nonlinear systems with disturbances and incomplete knowledge of transition rates

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107518

N. Shobana , R. Sakthivel , Peng Shi , S. Mohanapriya

This work epitomizes the problem of attaining periodic output reference tracking control along with disturbance attenuation for Takagi–Sugeno fuzzy approach based Markov jump systems (TSFMJSs) subject to mismatch quantization, incomplete transition rates and external disturbances. Explicitly, by compiling the disturbance estimates generated by an improved extended state observer (IESO) with a two-dimensional modified repetitive control (2D-MRC) approach, an anti-disturbance tracking control is established for accomplishing the intended tracking goals despite of the disturbances encountered. Further, to restrain the influence of mismatch quantization on the dynamics of the proposed system, a mismatch quantizer is imposed on the developed control protocol. Altogether, a quantized IESO-based anti-disturbance tracking 2D-MRC design is developed to acquire the preferred tracking outcome for the TSFMJS model by retarding the impacts caused by mismatched quantization, unknown transition rates and exogenous disturbances. Typically, by employing certain fuzzy-dependent Lyapunov–Krasovskii functional, the essential stability conditions for the proffered closed-loop system are configured in terms of linear matrix inequality (LMIs). Consequently, the feedback gain parameters are procured from the configured LMIs. Lastly, the theoretical declarations are authenticated by providing two numerical examples, which prevail the efficacy and potential applicability of the organized control protocol.

{"title":"Quantized repetitive tracking control for Markovian jump nonlinear systems with disturbances and incomplete knowledge of transition rates","authors":"N. Shobana , R. Sakthivel , Peng Shi , S. Mohanapriya","doi":"10.1016/j.jfranklin.2025.107518","DOIUrl":"10.1016/j.jfranklin.2025.107518","url":null,"abstract":"<div><div>This work epitomizes the problem of attaining periodic output reference tracking control along with disturbance attenuation for Takagi–Sugeno fuzzy approach based Markov jump systems (TSFMJSs) subject to mismatch quantization, incomplete transition rates and external disturbances. Explicitly, by compiling the disturbance estimates generated by an improved extended state observer (IESO) with a two-dimensional modified repetitive control (2D-MRC) approach, an anti-disturbance tracking control is established for accomplishing the intended tracking goals despite of the disturbances encountered. Further, to restrain the influence of mismatch quantization on the dynamics of the proposed system, a mismatch quantizer is imposed on the developed control protocol. Altogether, a quantized IESO-based anti-disturbance tracking 2D-MRC design is developed to acquire the preferred tracking outcome for the TSFMJS model by retarding the impacts caused by mismatched quantization, unknown transition rates and exogenous disturbances. Typically, by employing certain fuzzy-dependent Lyapunov–Krasovskii functional, the essential stability conditions for the proffered closed-loop system are configured in terms of linear matrix inequality (LMIs). Consequently, the feedback gain parameters are procured from the configured LMIs. Lastly, the theoretical declarations are authenticated by providing two numerical examples, which prevail the efficacy and potential applicability of the organized control protocol.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107518"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137139","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

SimNSD: Similar neighborhood-feature constraint for semi-supervised object detection

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107546

Jian-Xun Mi , Yanjun Wu , Qiyao Liang , Yanyao Huang , Lifang Zhou

In recent years, semi-supervised learning has been widely used for object detection to enhance model generalization by leveraging information from a large number of unlabeled samples. Semi-supervised object detection methods are generally categorized into two types: consistency-constrained and pseudo-labeled. While consistency-constrained methods improve performance by ensuring consistency between original and augmented images, they often overlook feature relationships within unlabeled images. To address this, we introduce SimNSD, a plugin implementing a neighborhood-feature constraint method. Based on the smoothing assumption of semi-supervised learning, SimNSD applies constraints when similarity thresholds are met. This approach facilitates smooth learning between central domain samples and their neighbors, enhancing network generalization. Our experiments show that SimNSD compensates for the limitations of traditional consistency-constrained methods and significantly improves performance compared to other semi-supervised object detection approaches.

{"title":"SimNSD: Similar neighborhood-feature constraint for semi-supervised object detection","authors":"Jian-Xun Mi , Yanjun Wu , Qiyao Liang , Yanyao Huang , Lifang Zhou","doi":"10.1016/j.jfranklin.2025.107546","DOIUrl":"10.1016/j.jfranklin.2025.107546","url":null,"abstract":"<div><div>In recent years, semi-supervised learning has been widely used for object detection to enhance model generalization by leveraging information from a large number of unlabeled samples. Semi-supervised object detection methods are generally categorized into two types: consistency-constrained and pseudo-labeled. While consistency-constrained methods improve performance by ensuring consistency between original and augmented images, they often overlook feature relationships within unlabeled images. To address this, we introduce SimNSD, a plugin implementing a neighborhood-feature constraint method. Based on the smoothing assumption of semi-supervised learning, SimNSD applies constraints when similarity thresholds are met. This approach facilitates smooth learning between central domain samples and their neighbors, enhancing network generalization. Our experiments show that SimNSD compensates for the limitations of traditional consistency-constrained methods and significantly improves performance compared to other semi-supervised object detection approaches.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107546"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137199","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 attitude control for fixed-wing UAVs with full-state constraints and input saturation

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107522

Dexin Jiao , Yani Wang , Yaowen Chen , Weifan Lu , An-Min Zou , Xuerong Yang

This article addresses the attitude control problem for fixed-wing unmanned aerial vehicles (UAVs) under full-state constraints, input saturation, and matched/mismatched disturbances. Firstly, fixed-wing UAV attitude dynamics is established and a smooth model for input saturation is introduced to address the issue of magnitude limitations on control torques. Next, by virtue of the nonlinear transformation functions, the system under consideration is transformed into a constraint-free one. Then, a finite-time control strategy is presented by implementing the robust adaptive control technique and the backstepping approach. Under the influence of the derived finite-time control law, the attitude tracking errors of the closed-loop system affected by matched/mismatched disturbances can be reduced to a sufficiently small region near zero within a bounded time interval with the considered multiple constraints being agreed. Finally, by means of several numerical simulation examples, the validity of the derived control method is demonstrated.

{"title":"Finite-time attitude control for fixed-wing UAVs with full-state constraints and input saturation","authors":"Dexin Jiao , Yani Wang , Yaowen Chen , Weifan Lu , An-Min Zou , Xuerong Yang","doi":"10.1016/j.jfranklin.2025.107522","DOIUrl":"10.1016/j.jfranklin.2025.107522","url":null,"abstract":"<div><div>This article addresses the attitude control problem for fixed-wing unmanned aerial vehicles (UAVs) under full-state constraints, input saturation, and matched/mismatched disturbances. Firstly, fixed-wing UAV attitude dynamics is established and a smooth model for input saturation is introduced to address the issue of magnitude limitations on control torques. Next, by virtue of the nonlinear transformation functions, the system under consideration is transformed into a constraint-free one. Then, a finite-time control strategy is presented by implementing the robust adaptive control technique and the backstepping approach. Under the influence of the derived finite-time control law, the attitude tracking errors of the closed-loop system affected by matched/mismatched disturbances can be reduced to a sufficiently small region near zero within a bounded time interval with the considered multiple constraints being agreed. Finally, by means of several numerical simulation examples, the validity of the derived control method is demonstrated.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107522"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143145435","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

DCA-Unet: Enhancing small object segmentation in hyperspectral images with Dual Channel Attention Unet

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107532

Kunbo Han , Mingjin Chen , Chongzhi Gao , Chunmei Qing

Hyperspectral image (HSI), with its high spectral resolution, captures extensive information across multiple wavelengths beyond the visible spectrum, enabling the recognition of intricate object details and features. This capability renders HSI indispensable in scientific research and engineering applications. Despite the efficacy of fully convolutional networks in processing remote sensing data, current methods face challenges in accurately segmenting small objects in HSI and delineating the boundaries of similar or adjacent objects. To address these limitations, we propose a novel DCA-Unet framework for HSI semantic segmentation. This framework leverages a dual-channel attention module to capture feature dependencies across both spatial and spectral channel dimensions, thereby enriching contextual information. Specifically, positional and channel attention modules are incorporated after each layer of the Unet encoder to enhance pixel-level representation and spectral inter-channel dependencies, respectively. The fused output of these attention modules further strengthens the feature representation of the Unet encoder. In the final output, Dice loss is employed to quantify the overlap between predicted and actual segmentations, while Focal loss is utilized to balance background samples, thus improving segmentation performance for small objects. Experimental results demonstrate that the proposed DCA-Unet framework excels in HSI semantic segmentation tasks, particularly in the accurate segmentation of small objects.

{"title":"DCA-Unet: Enhancing small object segmentation in hyperspectral images with Dual Channel Attention Unet","authors":"Kunbo Han , Mingjin Chen , Chongzhi Gao , Chunmei Qing","doi":"10.1016/j.jfranklin.2025.107532","DOIUrl":"10.1016/j.jfranklin.2025.107532","url":null,"abstract":"<div><div>Hyperspectral image (HSI), with its high spectral resolution, captures extensive information across multiple wavelengths beyond the visible spectrum, enabling the recognition of intricate object details and features. This capability renders HSI indispensable in scientific research and engineering applications. Despite the efficacy of fully convolutional networks in processing remote sensing data, current methods face challenges in accurately segmenting small objects in HSI and delineating the boundaries of similar or adjacent objects. To address these limitations, we propose a novel DCA-Unet framework for HSI semantic segmentation. This framework leverages a dual-channel attention module to capture feature dependencies across both spatial and spectral channel dimensions, thereby enriching contextual information. Specifically, positional and channel attention modules are incorporated after each layer of the Unet encoder to enhance pixel-level representation and spectral inter-channel dependencies, respectively. The fused output of these attention modules further strengthens the feature representation of the Unet encoder. In the final output, Dice loss is employed to quantify the overlap between predicted and actual segmentations, while Focal loss is utilized to balance background samples, thus improving segmentation performance for small objects. Experimental results demonstrate that the proposed DCA-Unet framework excels in HSI semantic segmentation tasks, particularly in the accurate segmentation of small objects.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 4","pages":"Article 107532"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143146029","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

Fault-tolerant synchronization control for time-varying delay complex networks based on aperiodic intermittent event triggering

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2024.107472

Ling Huang , Yuxin Zhang , Peng Shi (Fellow IEEE)

An aperiodic intermittent event-triggered fault-tolerant control strategy is proposed for a class of complex networks with actuator faults and time-varying delay. The aperiodic intermittent control (APIC) and an event-triggered mechanism (ETM) are used to save control costs and the limited bandwidth of the network. To improve the flexibility of the APIC design, the concept of the minimum control ratio (MCR) is introduced. A new synchronization error model is developed by considering actuator faults, the ETM, and the APIC. By utilizing the Lyapunov stability theory and the Wirtinger integral inequality, etc., the interval-dependent Lyapunov-Krasovskii functionals are established, and a less conservative synchronization criterion for CNs is obtained. In addition, the co-design of controller gains and event-triggered weighting matrices is obtained from solving Linear Matrix Inequalities (LMIs). Finally, a numerical example is provided to demonstrate the effectiveness of the proposed strategy.

引用次数: 0

Outlier-resistant H∞control for T–S fuzzy singular systems under time-correlated fading channels

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2024.107501

Li-Juan Cai, Xiao-Heng Chang

The problem of outlier-resistant

H_{\infty}

control for T–S fuzzy singular system with time-correlated fading channel and noise is studied. The main purpose of this paper is to obtain outlier-resistant controller design condition for singular system by using discrete-state decomposition technique. The fading channel is considered with time-correlated noise and the fading factor satisfies the dynamic process. Firstly, the difference method is used to obtain the measurement value to deal with time-correlated items. In order to reduce the adverse effects of outliers, the observer with dynamic saturation constrained innovation terms is proposed. Secondly, the augmented system is decomposed into differential subsystem and algebraic subsystem using discrete-state decomposition technique, and Lyapunov function without singular matrix is selected to obtain the design condition of outlier-resistant controller. Finally, the effectiveness of the design method is verified by an example of a four-mesh circuit.

{"title":"Outlier-resistant H∞control for T–S fuzzy singular systems under time-correlated fading channels","authors":"Li-Juan Cai, Xiao-Heng Chang","doi":"10.1016/j.jfranklin.2024.107501","DOIUrl":"10.1016/j.jfranklin.2024.107501","url":null,"abstract":"<div><div>The problem of outlier-resistant <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> control for T–S fuzzy singular system with time-correlated fading channel and noise is studied. The main purpose of this paper is to obtain outlier-resistant controller design condition for singular system by using discrete-state decomposition technique. The fading channel is considered with time-correlated noise and the fading factor satisfies the dynamic process. Firstly, the difference method is used to obtain the measurement value to deal with time-correlated items. In order to reduce the adverse effects of outliers, the observer with dynamic saturation constrained innovation terms is proposed. Secondly, the augmented system is decomposed into differential subsystem and algebraic subsystem using discrete-state decomposition technique, and Lyapunov function without singular matrix is selected to obtain the design condition of outlier-resistant controller. Finally, the effectiveness of the design method is verified by an example of a four-mesh circuit.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 3","pages":"Article 107501"},"PeriodicalIF":3.7,"publicationDate":"2025-02-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143136919","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 adaptive fuzzy constrained control of uncertain switched nonlinear systems with zero dynamics

IF 3.7 3区计算机科学 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2025-02-01 DOI: 10.1016/j.jfranklin.2025.107513

Shuo Liu , Huaguang Zhang , Hongbo Pang

This paper solves adaptive finite-time tracking control problem for uncertain switched nonlinear systems with states constraint, even if the tracking control problem for subsystems is not solvable. By using fuzzy logic system to deal with unknown functions, we design a state-dependent switching law and feedback controllers constructively to ensure that all the signals of the resulting closed-loop system are bounded and the output can track the reference signal in finite time. Multiple barrier Lyapunov functions (BLFs) are adopted to achieve constrained properties. Two examples are given to verify the effectiveness of the proposed design method.

引用次数: 0

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