Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第10页

Stability analysis of generalized second-order nonlinear control systems 广义二阶非线性控制系统的稳定性分析

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-12 DOI: 10.1016/j.jfranklin.2025.107606

Cong Wang , Li Li , Minghui Yao , Qiliang Wu , Yan Niu

{"title":"Stability analysis of generalized second-order nonlinear control systems","authors":"Cong Wang , Li Li , Minghui Yao , Qiliang Wu , Yan Niu","doi":"10.1016/j.jfranklin.2025.107606","DOIUrl":"10.1016/j.jfranklin.2025.107606","url":null,"abstract":"<div><div>To overcome the constant boundedness and slow time-varying constraints of disturbances, this paper presents a generalized second-order nonlinear control algorithm (GSONCA) and resulting a generalized second-order nonlinear control system (GSONCS), and further studies the stability and disturbance rejection of GSONCS. Unlike existing similar works, the GSONCS is a universal second-order system framework including nonlinear, time-varying, and switching terms, which is able to deal with time-dependent and state-dependent disturbances. All possible equilibrium points are discussed for the GSONCS, and the existence condition of a unique equilibrium point is constructed. Several practical stability inequalities of coefficients are established for the GSONCS where the coefficients can be almost arbitrary functions of state variable and time, which unify the stability criterion of second-order linear and nonlinear systems. Based on the proposed stability results, the disturbance rejection conditions of GSONCS are derived, and the good robustness of state-dependent-type second-order nonlinear systems is confirmed. As the applications of GSONCS, the parameter tuning methods of popular second-order algorithms are provided, and simulations on DC-DC converters are presented to validate the proposed GSONCA.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107606"},"PeriodicalIF":3.7,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143620590","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

Efficient robust model predictive control for uncertain norm-bounded Markov jump systems with persistent disturbances via matrix partition 基于矩阵划分的不确定范数有界马尔可夫跳变系统鲁棒预测控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-11 DOI: 10.1016/j.jfranklin.2025.107633

Yuchang Feng , Xue Li , Donglin Shi , Jun Ai

引用次数: 0

Fuzzy adaptive event-triggered predefined time control for stochastic nonlinear systems 随机非线性系统的模糊自适应事件触发预定义时间控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-11 DOI: 10.1016/j.jfranklin.2025.107631

Yuelei Yu , Shuai Sui , Shaocheng Tong , C.L. Philip Chen

{"title":"Fuzzy adaptive event-triggered predefined time control for stochastic nonlinear systems","authors":"Yuelei Yu , Shuai Sui , Shaocheng Tong , C.L. Philip Chen","doi":"10.1016/j.jfranklin.2025.107631","DOIUrl":"10.1016/j.jfranklin.2025.107631","url":null,"abstract":"<div><div>This article investigates the predefined time fuzzy adaptive event-triggered control (ETC) issue for stochastic nonlinear systems. Fuzzy logic systems (FLSs) are used to recognize unknown nonlinear dynamics, and fuzzy state estimators are designed to solve the problems caused by unmeasurable states. To save network resources and directly activate control behaviors by applying triggered state signals, a dynamically adjustable event-triggered mechanism (ETM) is established. The proposed method can directly preset the control problem of the stabilization time of the system, and the control strategy is easier to implement due to fewer design parameters in this method. An adaptive fuzzy event-triggered predefined time control scheme is proposed by backstepping control technique. The tanh function is introduced in the control design process to prevent the singularity problem. The semiglobally practically predefined time stochastic stabilizable (SPPSS) of the control system is demonstrated through the Lyapunov theory. Finally, simulations are shown to verify the effectiveness of the investigated theory.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 6","pages":"Article 107631"},"PeriodicalIF":3.7,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143636791","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

Robust sliding mode boundary control for uncertain reaction–diffusion systems 不确定反应扩散系统的鲁棒滑模边界控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-11 DOI: 10.1016/j.jfranklin.2025.107623

Wei-Jie Zhou , Kai-Ning Wu , Xiao-Zhen Liu

引用次数: 0

Robust adaptive safe effective dynamic coverage control of nonlinear systems and its application to differential robots 非线性系统鲁棒自适应安全有效动态覆盖控制及其在差分机器人中的应用

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-03-11 DOI: 10.1016/j.jfranklin.2025.107625

Xingzhe Han , Lijun Long

引用次数: 0

Error-based observer with dual compensations for disturbance rejection in electro-optical tracking system 光电跟踪系统中基于误差的双补偿干扰抑制观测器

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) 考虑外部干扰和随机不确定性的柔性航天器SO(3)约束姿态控制

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 约束非线性系统的混合观测器定时跟踪控制

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 在动态定向网络上实现分散经济调度的加速收敛

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 2026号鲍尔呼叫

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