Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第9页

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

A dual-mode framework for lifting-based self-triggered model predictive control of linear systems with a guarantee of minimum triggering in steady state 一种保证稳态最小触发的基于提升的线性系统自触发模型预测控制双模框架

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.2025.107805

Junsoo Kim, Gyunghoon Park

{"title":"A dual-mode framework for lifting-based self-triggered model predictive control of linear systems with a guarantee of minimum triggering in steady state","authors":"Junsoo Kim, Gyunghoon Park","doi":"10.1016/j.jfranklin.2025.107805","DOIUrl":"10.1016/j.jfranklin.2025.107805","url":null,"abstract":"<div><div>In this paper, we propose a new self-triggered model predictive control (ST-MPC) that stabilizes a class of linear time-invariant systems, under limited communication resource between plant and controller. A remarkable feature of the ST-MPC presented this work is to trigger as little as possible in steady state, by adopting the lifting method in order to realize the dual-mode paradigm in the ST-MPC formulation. In the lifting-based dual-mode framework, the steady-state requirement on minimum triggering can be achieved by driving the system state into a (maximal) positively invariant set constructed based on a large-sized lifted model, for which a new self-triggering mechanism is also proposed to plan a sequence of moments of triggering in transient (that takes place more frequently than in steady state if needed). The solution of a lifting-based discrete-time algebraic Riccati equation (DARE) plays an essential role in the ST-MPC design, whose existence condition and structural properties are thus intensively studied. The recursive feasibility and closed-loop stability are mathematically analyzed, while the validity of the proposed ST-MPC is verified via computer-aided simulation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107805"},"PeriodicalIF":3.7,"publicationDate":"2025-06-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144571641","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 transceiver beamforming scheme for multi-UAV-enabled integrated sensing and communication systems 多无人机集成传感与通信系统的鲁棒收发器波束形成方案

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-24 DOI: 10.1016/j.jfranklin.2025.107818

Zitong Wang, Zining Wang, Changfeng Ding, Jian Ouyang, Min Lin

{"title":"Robust transceiver beamforming scheme for multi-UAV-enabled integrated sensing and communication systems","authors":"Zitong Wang, Zining Wang, Changfeng Ding, Jian Ouyang, Min Lin","doi":"10.1016/j.jfranklin.2025.107818","DOIUrl":"10.1016/j.jfranklin.2025.107818","url":null,"abstract":"<div><div>Driven by the various sensing demands, integrated sensing and communication (ISAC) is considered as a promising technique in further wireless network. In this paper, we propose a robust transceiver beamforming scheme for multiple unmanned-aerial vehicles (UAVs)-enabled ISAC system to enhance both communication and radar sensing performance. Here, each UAV communicates with the base station (BS) and performs radar sensing for one target in the presence of multiple clutters. In particular, to guarantee robustness against channel uncertainty, we employ the imperfect channel state information (CSI) and formulate a joint optimization problem to maximize the minimal achievable rate of UAVs, subject to the constraints of the signal-to-clutter plus interference and noise ratio requirement and the UAV transmit power budget. To handle the impact of channel uncertainty, we leverage the triangle inequality and Kronecker product properties to transform the worst-case constraints into tractable forms, ensuring robustness against CSI errors. Then, we propose an alternating optimization framework based on semidefinite programming to iteratively optimize transceiver beamformers. Numerical results are provided to demonstrate the robustness and effectiveness of the proposed joint optimization scheme in terms of achievable rate performance.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107818"},"PeriodicalIF":3.7,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144518165","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

Quantification stochastic configuration networks with incremental encoding 用增量编码量化随机构型网络

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-24 DOI: 10.1016/j.jfranklin.2025.107817

Wei Wang , Shujiang Li , Wei Fu

引用次数: 0

Distributed set-membership filtering with error-based dynamic transmission and power allocation-dependent packet loss 基于错误的动态传输和功率分配相关丢包的分布式集成员过滤

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-24 DOI: 10.1016/j.jfranklin.2025.107801

Yuru Guo, Yi Zhong, Zitian Li, Hui Peng, Yong Xu

{"title":"Distributed set-membership filtering with error-based dynamic transmission and power allocation-dependent packet loss","authors":"Yuru Guo, Yi Zhong, Zitian Li, Hui Peng, Yong Xu","doi":"10.1016/j.jfranklin.2025.107801","DOIUrl":"10.1016/j.jfranklin.2025.107801","url":null,"abstract":"<div><div>Network resource constraint is significant challenge in wireless sensor networks, making it difficult to obtain accurate state information. Currently, two main transmission protocols, Round-Robin and Try-Once-Discard, are used to address this issue. However, these protocols only allow one sensor to transmit at a time, which limits their ability to fully capture relevant system information and often results in conservative performance. To overcome these limitations, an error-based dynamic transmission strategy is proposed for distributed sensor networks. This strategy uses a double selection principle to more accurately identify signals worth transmitting by comparing error differences. The selected sensor data is then packaged and transmitted over the wireless network to other sensor nodes. A power allocation-dependent packet loss model is developed, which takes into account the varying packet lengths resulting from the scheduling protocol. Based on this, a sufficient condition is established to ensure that the filtering error remains within ellipsoidal constraints. Simulation results demonstrate that the proposed transmission strategy offers superior filtering performance compared to traditional method. Additionally, this strategy reduces power consumption by an average of 47% over 20 transmission steps compared to the full transmission approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107801"},"PeriodicalIF":3.7,"publicationDate":"2025-06-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144470492","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

Self-triggered distributed economic MPC for asynchronous vehicle platoon with communication delays and external disturbances 具有通信延迟和外部干扰的异步车辆排自触发分布式经济MPC

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-23 DOI: 10.1016/j.jfranklin.2025.107803

Maode Yan , Changyang Deng , Lei Zuo , Lingbo Li

{"title":"Self-triggered distributed economic MPC for asynchronous vehicle platoon with communication delays and external disturbances","authors":"Maode Yan , Changyang Deng , Lei Zuo , Lingbo Li","doi":"10.1016/j.jfranklin.2025.107803","DOIUrl":"10.1016/j.jfranklin.2025.107803","url":null,"abstract":"<div><div>This paper investigates the asynchronous vehicle platoon control problems with communication delays and external disturbances, in which fuel economy and communication resources are taken into consideration. To address these challenges, a self-triggered distributed economic model predictive control (SDEMPC) algorithm with a distributed disturbance observer is proposed for the platoon system. First, a distributed disturbance observer is introduced to actively alleviate the negative effects of disturbances. To ensure adherence to physical constraints, a tightened control input constraint is derived from disturbance estimation information. Next, a dual-layer optimization problem with robustness and tracking stability constraints is formulated for the disturbance-compensated platoon system. On this basis, the fuel economy can be improved while achieving the desired platoon formation. Then, an asynchronous self-triggered scheduler with a lengthened sequence strategy is designed to effectively reduce communication frequency and coordinate asynchronous communication with delays between vehicles. Subsequently, the recursive feasibility of the proposed algorithm and the closed-loop stability of the platoon system are strictly analyzed. Finally, numerical simulations are presented to verify the effectiveness of the proposed algorithm.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107803"},"PeriodicalIF":3.7,"publicationDate":"2025-06-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144481549","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

Learning economic model predictive control via clustering and kernel-based Lipschitz regression 通过聚类和基于核的Lipschitz回归学习经济模型预测控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-21 DOI: 10.1016/j.jfranklin.2025.107787

Weiliang Xiong , Defeng He , Haiping Du

{"title":"Learning economic model predictive control via clustering and kernel-based Lipschitz regression","authors":"Weiliang Xiong , Defeng He , Haiping Du","doi":"10.1016/j.jfranklin.2025.107787","DOIUrl":"10.1016/j.jfranklin.2025.107787","url":null,"abstract":"<div><div>This paper presents a novel learning economic model predictive control scheme for uncertain nonlinear systems subject to input and state constraints and unknown dynamics. We design a fast and accurate Lipschitz regression method using input and output data that combines clustering and kernel regression to learn the unknown dynamics. In each cluster, the parallel convex optimization problems are solved to estimate the kernel weights and reduce the Lipschitz constant of the predictor, hence limiting the error propagation in the prediction horizon. We derive two different bounds of learning errors in deterministic and probabilistic forms and customize a new robust constraint-tightening strategy for the discontinuous predictor. Then, the learning economic model predictive control algorithm is formulated by introducing a stabilized optimization problem to construct a Lyapunov function. Sufficient conditions are derived to ensure the recursive feasibility and input-to-state stability of the closed-loop system. The effectiveness of the proposed algorithm is verified by simulations of a numerical example and a continuously stirred tank reactor.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107787"},"PeriodicalIF":3.7,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144366635","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

Multi-objective data-driven mixed H2/H∞ controller design for uncertain structural systems 不确定结构系统多目标数据驱动混合H2/H∞控制器设计

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2025-06-21 DOI: 10.1016/j.jfranklin.2025.107786

Bilal Gormus , Hakan Yazici , Ibrahim Beklan Kucukdemiral

{"title":"Multi-objective data-driven mixed H2/H∞ controller design for uncertain structural systems","authors":"Bilal Gormus , Hakan Yazici , Ibrahim Beklan Kucukdemiral","doi":"10.1016/j.jfranklin.2025.107786","DOIUrl":"10.1016/j.jfranklin.2025.107786","url":null,"abstract":"<div><div>This paper presents a multi-objective, linear matrix inequality-based (LMI-based) data-driven mixed <span><math><mrow><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>/</mo><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></mrow></math></span> control approach for attenuating norm-bounded disturbances in seismically excited structural systems. The identification-free nature of the data-driven control technique effectively addresses parameter uncertainty issues in structural systems. While the proposed technique does not require knowledge of the system matrices <span><math><mi>A</mi></math></span> and <span><math><msub><mrow><mi>B</mi></mrow><mrow><mi>u</mi></mrow></msub></math></span>, it only necessitates the bounds on states and disturbances for controller design. In the proposed method, the full-block S-procedure is employed to define the norm-bounded uncertain disturbance input, allowing the use of convex-hull relaxation. Moreover, the dilation technique on LMIs enables the use of non-common Lyapunov matrices in <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> control problems. As a result, the proposed method provides a solution to the convex optimization problem for multi-objective control with minimal conservatism. The effectiveness of the proposed data-driven controller is evaluated using a four-storey structural system subjected to ground motions from earthquake data collected during the Kobe and Northridge earthquakes. Numerical examples and extensive case studies demonstrate that the proposed method achieves successful active vibration control comparable to model-based approaches and exhibits robustness under different earthquake excitations and system mass variations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 12","pages":"Article 107786"},"PeriodicalIF":3.7,"publicationDate":"2025-06-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144563767","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