Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第4页

Error-based observer with dual compensations for disturbance rejection in electro-optical tracking system

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-09 DOI: 10.1016/j.jfranklin.2025.107624

Yu Chen , Shanlin Zhuang , Jiuqiang Deng, Yao Mao

{"title":"Error-based observer with dual compensations for disturbance rejection in electro-optical tracking system","authors":"Yu Chen , Shanlin Zhuang , Jiuqiang Deng, Yao Mao","doi":"10.1016/j.jfranklin.2025.107624","DOIUrl":"10.1016/j.jfranklin.2025.107624","url":null,"abstract":"<div><div>The electro-optical tracking system (ETS) on the motion platform can only acquire the system tracking error of the camera output. This poses a significant challenge to disturbance rejection. Existing error-based disturbance rejection methods have a limited disturbance rejection effect due to the filter bandwidth constraint. To address this problem, this paper proposes an error-based observer structure based on dual filters (DEBO) to suppress the contradiction between the disturbance rejection effect and the noise amplification. The dependence on the filter bandwidth is alleviated by the method of superposition processing for disturbance rejection. The stability of the proposed structure is also demonstrated using frequency domain analysis. Meanwhile, specific disturbance rejection experiments are designed to verify the effectiveness of the method and compared with the standard error-based observer (EBO). The results show that the DEBO structure effectively improves the disturbance rejection effect of the system and avoids the noise amplification. It provides a new idea for improving the design of disturbance rejection method in electro-optical tracking system.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107624"},"PeriodicalIF":3.7,"publicationDate":"2025-03-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629189","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

Constrained attitude control of flexible spacecraft with external disturbances and stochastic uncertainties on SO(3)

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-05 DOI: 10.1016/j.jfranklin.2025.107614

Shengjie Zhu , Xiaofeng Zong , Yuanyuan Zhang

引用次数: 0

Hybrid observer-based fixed-time tracking control for constrained nonlinear systems

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-03 DOI: 10.1016/j.jfranklin.2025.107610

Zihang Guo, Shuangsi Xue, Huan Li, Junkai Tan, Dapeng Yan, Hui Cao

{"title":"Hybrid observer-based fixed-time tracking control for constrained nonlinear systems","authors":"Zihang Guo, Shuangsi Xue, Huan Li, Junkai Tan, Dapeng Yan, Hui Cao","doi":"10.1016/j.jfranklin.2025.107610","DOIUrl":"10.1016/j.jfranklin.2025.107610","url":null,"abstract":"<div><div>This paper introduces a hybrid observer-based fixed-time tracking control for constrained nonlinear systems. Multiple factors constrain the considered nonlinear systems: internally by dynamic uncertainties and full-state constraints, and externally by external disturbances, actuator faults, and input saturation. A hybrid observer, combining the bias RBFNN (radial basis function neural network) with fixed-time sliding mode, is proposed. The bias RBFNN approximates dynamic uncertainties, while an extended state is designed to estimate the network approximation error, external disturbances, and actuator faults and feed them back to the controller within a fixed time. Meanwhile, the hybrid observer can acquire the velocity information simultaneously. To prevent system states from exceeding predefined boundaries, a barrier function-based state transformation method is implemented. An anti-windup compensator is designed to mitigate the adverse effects caused by input saturation. The semi-globally ultimately fixed-time boundedness (SGUFTB) of the closed-loop system is proven through Lyapunov theory. The effectiveness of the proposed control strategy is demonstrated through simulation and comparative results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107610"},"PeriodicalIF":3.7,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552021","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

Performing accelerated convergence in decentralized economic dispatch over dynamic directed networks

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-03 DOI: 10.1016/j.jfranklin.2025.107611

Yunshan Lv , Hailing Xiong , Fuqing Zhang , Shengying Dong

{"title":"Performing accelerated convergence in decentralized economic dispatch over dynamic directed networks","authors":"Yunshan Lv , Hailing Xiong , Fuqing Zhang , Shengying Dong","doi":"10.1016/j.jfranklin.2025.107611","DOIUrl":"10.1016/j.jfranklin.2025.107611","url":null,"abstract":"<div><div>This article delves into the economic dispatch problem (EDP) within smart grids, specifically exploring it in time-varying directed networks. The objective is to allocate generation power efficiently among generators to fulfill load demands while minimizing the total generation cost, adhering to local capacity constraints. Each generator carries its unique local generation cost, and the total cost is calculated by summing these individual costs. To this aim, a novel algorithm (ADED-TVD) <u>A</u>ccelerated <u>D</u>ecentralized <u>E</u>conomic <u>D</u>ispatch Algorithm is introduced, which is suitable for <u>T</u>ime-<u>V</u>arying <u>D</u>irected networks well. ADED-TVD takes inspiration from the parameter momentum accelerated technique to improve the convergence with different parameters resulting in different momentum (Nesterov or heavy-ball) methods. In addition, ADED-TVD lies in time-varying directed communication networks, where theoretical evidence of linear convergence towards the optimal dispatch is offered. Also, explicit bounds for the step-size and momentum parameters are obtained. Finally, simulations that delve into various aspects of EDP in smart grids are presented.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107611"},"PeriodicalIF":3.7,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143563693","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

2026 Bower Call

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-01 DOI: 10.1016/j.jfranklin.2025.107626

引用次数: 0

Mixed H∞ and passivity state estimation for two-time-scale semi-Markov jump coupled neural networks under analog fading channels

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-28 DOI: 10.1016/j.jfranklin.2025.107575

Yongqian Wang, Zhenghao Ni, Jing Wang, Feng Li, Hao Shen

{"title":"Mixed H∞ and passivity state estimation for two-time-scale semi-Markov jump coupled neural networks under analog fading channels","authors":"Yongqian Wang, Zhenghao Ni, Jing Wang, Feng Li, Hao Shen","doi":"10.1016/j.jfranklin.2025.107575","DOIUrl":"10.1016/j.jfranklin.2025.107575","url":null,"abstract":"<div><div>In this work, the state estimation issue for the two-time-scale semi-Markov jump coupled neural networks is addressed, in which the information of the system is transmitted through analog fading channels. A singular perturbation parameter is introduced to indicate the two-time-scale characteristics of semi-Markov jump coupled neural networks. Different from the existing Markov processes, this work uses the semi-Markov processes to model the jumping behavior, and further eliminates the restriction of the sojourn time probability distribution. Then, the Lyapunov function is considered to be related to singular perturbation parameters, sojourn times and system modes. Meanwhile, the mean square index stability criterion is introduced. Based on the criterion, the systems are mean square exponentially stable with the given mixed <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> and passivity performance index by using the designed state estimation law. Finally, an illustrative example is used to show the design state estimation law is effective.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107575"},"PeriodicalIF":3.7,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552023","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

Fully actuated system-based active disturbance rejection saturated attitude control for flexible spacecraft

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-28 DOI: 10.1016/j.jfranklin.2025.107613

Dian Wang , Yunhua Wu , Chengfei Yue , Songjing Ma

{"title":"Fully actuated system-based active disturbance rejection saturated attitude control for flexible spacecraft","authors":"Dian Wang , Yunhua Wu , Chengfei Yue , Songjing Ma","doi":"10.1016/j.jfranklin.2025.107613","DOIUrl":"10.1016/j.jfranklin.2025.107613","url":null,"abstract":"<div><div>Flexible spacecraft, characterized by infinite degrees of freedom, pose challenges in attitude control due to complex coupling effects and significant nonlinearities. This paper addresses the attitude control problem for underactuated flexible spacecraft, considering external disturbances, inertia uncertainties, and control input saturation. A novel active disturbance rejection saturated control strategy, which is based on fully actuated system (FAS) theory, is developed to achieve robust attitude stabilization. The approach involves the construction of a fully actuated attitude model for the flexible spacecraft and implementing an extended disturbance observer to estimate uncertain nonlinearities, such as elastic vibrations, system uncertainties, and external disturbances. These estimates are fed into a nonlinear feedforward compensation control. The feedback controller, designed with the direct parametric method, ensures the desired orientation with high precision. Additionally, the inclusion of a dynamic gain filter effectively controls input saturation and significantly enhances flexible vibration suppression. The simulation results validate the effectiveness of the proposed strategy, demonstrating its potential for use in underactuated flexible spacecraft attitude control in practical scenarios.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107613"},"PeriodicalIF":3.7,"publicationDate":"2025-02-28","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620591","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

Minimum entropy control for non-Newtonian mechanical systems based on pattern moving probability density evolution

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-27 DOI: 10.1016/j.jfranklin.2025.107597

Cheng Han , Zhengguang Xu , Nan Deng

{"title":"Minimum entropy control for non-Newtonian mechanical systems based on pattern moving probability density evolution","authors":"Cheng Han , Zhengguang Xu , Nan Deng","doi":"10.1016/j.jfranklin.2025.107597","DOIUrl":"10.1016/j.jfranklin.2025.107597","url":null,"abstract":"<div><div>Non-Newtonian mechanical systems, as a specific type of system governed by statistical laws, are commonly found in industrial production processes involving solid–liquid transitions. The challenge of describing the statistical characteristics of such systems using deterministic variables (such as state or output variables) often leads existing control methods to either ignore these systems or treat them as systems with disturbances. This approach, however, frequently results in high energy consumption within the control system. To address the system’s inherent statistical characteristics, this paper introduced a statistical variable called the pattern category variable, which replaces traditional deterministic variables in describing system motion. Additionally, a dynamic description and control framework based on probability density evolution was proposed. The conditional probability density was used as a measure for the pattern category variables, and its evolution law was derived using the principles of probability conservation and non-parametric dynamic linearization theory. Building on this, the probability density evolution of the tracking error was further determined, leading to the formulation of a minimum entropy control law based on pattern movement, accompanied by a parameter estimation algorithm. This approach transformed the control problem of non-Newtonian mechanical systems into reducing the randomness of the system’s tracking errors. Finally, the convergence and stability of both the parameter estimation algorithm and the control algorithm were validated through theoretical analysis. The effectiveness of the proposed method was demonstrated through numerical simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107597"},"PeriodicalIF":3.7,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143521147","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

Dynamic event-triggered H∞ leader-following consensus for nonlinear stochastic multi-agent systems with semi-Markov switching topologies and application

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-27 DOI: 10.1016/j.jfranklin.2025.107596

Manlu Ban , Jianjun Li , Hongyong Deng , Yanhong Wang , Jun Cheng

{"title":"Dynamic event-triggered H∞ leader-following consensus for nonlinear stochastic multi-agent systems with semi-Markov switching topologies and application","authors":"Manlu Ban , Jianjun Li , Hongyong Deng , Yanhong Wang , Jun Cheng","doi":"10.1016/j.jfranklin.2025.107596","DOIUrl":"10.1016/j.jfranklin.2025.107596","url":null,"abstract":"<div><div>This paper investigates the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> leader–follower mean-square consensus problem for nonlinear stochastic multi-agent systems with semi-Markov switching topologies. We address the scenario where the partial communication topology has a directed spanning tree, thus eliminating the special condition that each communication topology must have a directed spanning tree. Given the finite system resources, to minimize unnecessary waste, an improved dynamic event-triggered protocol is designed. To tackle the modal mismatch between the system and the controller, an asynchronous controller with non-homogeneous hidden semi-Markov chains is introduced. Subsequently, by constructing a suitable Lyapunov function, we derive sufficient conditions for the system to achieve leader–follower <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> mean-square consensus and meet the performance index <span><math><mi>γ</mi></math></span>. Thereafter, the obtained results are applied to address the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> leader–follower mean-square consensus of stochastic multi-agent systems under network attacks. Finally, numerical simulations are employed to validate the effectiveness of the theoretical results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107596"},"PeriodicalIF":3.7,"publicationDate":"2025-02-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143526665","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

A novel mid- and long-term time-series forecasting framework for electricity price based on hierarchical recurrent neural networks

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-02-26 DOI: 10.1016/j.jfranklin.2025.107590

Weiwu Yan , Peng Wang , Renchao Xu , Rui Han , Enze Chen , Yongqiang Han , Xi Zhang

{"title":"A novel mid- and long-term time-series forecasting framework for electricity price based on hierarchical recurrent neural networks","authors":"Weiwu Yan , Peng Wang , Renchao Xu , Rui Han , Enze Chen , Yongqiang Han , Xi Zhang","doi":"10.1016/j.jfranklin.2025.107590","DOIUrl":"10.1016/j.jfranklin.2025.107590","url":null,"abstract":"<div><div>This paper proposes an innovative end-to-end time-series decomposition-forecasting framework based on recurrent neural networks called DF-RNN for electricity price. The framework combines an RNN-based decomposition model and an RNN-based forecasting model to perform mid- and long-term time-series forecasting tasks effectively. A hierarchical RNN-based time-series decomposition model is introduced to decompose time series data into trend, seasonal, and residual components. The RNN-based forecasting models generate forecasts for each component series, aggregated to produce the time-series forecast. The DF-RNN model simultaneously optimizes the objective functions of both the time-series decomposition model and the forecasting model, resulting in an optimal time-series forecasting model. The DF-RNN model has a flexible network structure and clear interpretability, making it easy to analyze and understand the results. The effectiveness of the proposed framework is evaluated in a real-world electricity-price forecasting in the European Power Exchange France. The experimental results demonstrate that DF-RNN is a promising and effective mid- and long-term time-series forecasting model.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107590"},"PeriodicalIF":3.7,"publicationDate":"2025-02-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143552022","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