Weiling Bao , Yunliang Wang , Jun Cheng , Dan Zhang , Wenhai Qi , Jinde Cao
{"title":"Neural network-based dynamic output feedback control for nonhomogeneous Markov switching systems under deception attacks","authors":"Weiling Bao , Yunliang Wang , Jun Cheng , Dan Zhang , Wenhai Qi , Jinde Cao","doi":"10.1016/j.jfranklin.2024.107502","DOIUrl":"10.1016/j.jfranklin.2024.107502","url":null,"abstract":"<div><div>This paper presents a neural network-based method to address the challenge of designing dynamic output feedback controllers for nonhomogeneous Markov switching systems (NMSSs) under deception attacks. The model enhances realism by incorporating a nonhomogeneous Markov process to depict the system’s stochastic switching behavior. To alleviate communication load and prevent frequent data collisions, a round-robin protocol is implemented for transmitting measurement outputs. Unlike conventional approaches that assume deception attacks are known and bounded, this work considers more general unbounded deception attacks and employs neural networks to approximate and mitigate their impact on the system. Utilizing Lyapunov stability theory, sufficient conditions are derived to ensure the stochastic stability of the closed-loop system. Finally, the effectiveness of the proposed approach and the theoretical results are demonstrated through a simulation example.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107502"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138498","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}
Jingyi Lu , Jiali Li , Xuefeng Zhao , Yao Chen , Lan Meng , Dandi Yang , Nan Hou
{"title":"Adaptive denoising method for leakage detection of liquid pipelines using automatic variational mode decomposition","authors":"Jingyi Lu , Jiali Li , Xuefeng Zhao , Yao Chen , Lan Meng , Dandi Yang , Nan Hou","doi":"10.1016/j.jfranklin.2024.107475","DOIUrl":"10.1016/j.jfranklin.2024.107475","url":null,"abstract":"<div><div>Pipeline leakage detection is an important measure to ensure the national economy and public safety. This paper aims to develop an adaptive denoising method to achieve leakage signals under a low signal-to-noise ratio. This method relies on signal processing to extract sub-modalities. It improves variational mode decomposition for signal denoising structurally, called automatic variational mode decomposition (AVMD), enabling it to select effective modes without using prior knowledge. It achieves progressive mode decomposition by increasing constraint criteria and changing the objective function of VMD and sets an automatic bandwidth adjustment rule based on the energy ratio between modes. It also sets an iterative condition considering the power concept of gradually decreasing signals to achieve the target mode number without advanced setting. Several examples, including simulating linear signals and nonlinear signals, as well as real-life applications, are demonstrated to show that AVMD is superior to VMD and other existing improved methods in reducing relative errors and improving the separation effect for cross signals, and AVMD can effectively suppress noise.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107475"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138506","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}
{"title":"Impulse minimization, index reduction, and column regularization for descriptor systems","authors":"Abhinav Kumar , Mahendra Kumar Gupta","doi":"10.1016/j.jfranklin.2024.107489","DOIUrl":"10.1016/j.jfranklin.2024.107489","url":null,"abstract":"<div><div>Index of a descriptor system reflects the intensity of impulses in its solutions. The necessary and sufficient condition on descriptor systems having index at most a specific value and column regularity are established. Additionally, a necessary condition is proposed for the existence of an output feedback that can reduce the index of the system to a pre-assigned desired value while simultaneously column-regularizing the system. Furthermore, the necessary and sufficient condition is derived for the existence of an output feedback that can reduce the system’s index to at most two. All theoretical conditions are proposed directly in terms of system matrices. Orthogonal transformations are used for design procedure and proofs. Numerical and physical examples are presented to support the outcome of this paper.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107489"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138510","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}
Y. González-Cárdenas , F.R. López-Estrada , V. Estrada-Manzo , G. Valencia-Palomo , I. Santana-Ching
{"title":"LMI-based discrete LPV controller design for systems with inherent couplings in the scheduling vector: Improved robustness and performance","authors":"Y. González-Cárdenas , F.R. López-Estrada , V. Estrada-Manzo , G. Valencia-Palomo , I. Santana-Ching","doi":"10.1016/j.jfranklin.2024.107419","DOIUrl":"10.1016/j.jfranklin.2024.107419","url":null,"abstract":"<div><div>This work presents the design of controllers for discrete-time linear parameter-varying systems, particularly in scenarios where uncontrollable regions emerge within the polytope obtained by convex rewriting of a certain bounded region. Two fundamental aspects are addressed: the stability of the system and the enhancement of the controller performance and robustness. The most significant results include the proposal of a strategy to isolate the regions that are not reached by the trajectories of the system due to inherent couplings in the scheduling vector. The resulting control law ensures asymptotic stability under specific conditions, along with improved performance and robustness against perturbations through the use of <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> and linear matrix inequalities regions. Two numerical examples illustrate the applicability and performance of the proposal.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107419"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168691","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}
Ting-Ting Wang , Guang-Hong Yang , Georgi Marko Dimirovski
{"title":"Stealthy false data injection attack scheduling design for multi-sensor systems with resource constraints","authors":"Ting-Ting Wang , Guang-Hong Yang , Georgi Marko Dimirovski","doi":"10.1016/j.jfranklin.2024.107445","DOIUrl":"10.1016/j.jfranklin.2024.107445","url":null,"abstract":"<div><div>This paper studies the optimal false data injection (FDI) attack scheduling problem for multi-sensor cyber–physical systems (CPSs), where the communication bandwidth and energy constraints are considered simultaneously. A novel event-based attack scheduling strategy is proposed to allocate the energy effectively under the bandwidth constraint. Based on which, the optimal stealthy attack parameters are presented analytically, where the remote state estimation error is maximized and the attack stealthiness is guaranteed. Compared with the existing works, the proposed attack strategy can save attack resources significantly while ensuring attack performance. Finally, the simulations are presented to verify the proposed results.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 1","pages":"Article 107445"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143168692","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}
{"title":"Small-controllability of state-affine nonlinear systems","authors":"Lingxiang Cheng, Lin Tie","doi":"10.1016/j.jfranklin.2024.107437","DOIUrl":"10.1016/j.jfranklin.2024.107437","url":null,"abstract":"<div><div>This paper is concerned with the small-controllability problem of state-affine nonlinear systems, where the control inputs can be sufficiently small. By proposing the characteristic equation, a necessary condition for small-controllability of discrete-time state-affine nonlinear systems is first given, which covers the classical results for bilinear systems. The proposed characteristic equation is also generalized to continuous-time state-affine nonlinear systems. Then, two classes of sufficient conditions for small-controllability of discrete-time state-affine nonlinear systems are formulated by algebraizing the local rank condition. In this way, not only the classical sufficient results applied for the degenerate systems are improved, but also the scope is extended to more general state-affine nonlinear systems. Finally, the sufficient conditions are generalized to the multi-input case and the continuous-time case. Examples are given to illustrate the small-controllability results of this paper.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107437"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137847","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}
{"title":"Reduced-order observer based fault estimation and dynamic output feedback fault-tolerant control for switched fuzzy stochastic systems","authors":"Jiuling Zhang, Jian Han, Xiuhua Liu, Xinjiang Wei","doi":"10.1016/j.jfranklin.2024.107452","DOIUrl":"10.1016/j.jfranklin.2024.107452","url":null,"abstract":"<div><div>In this paper, the fault estimation (FE) and fault-tolerant control (FTC) problems are studied for switched fuzzy stochastic systems subjected to multiple faults and nonlinear exogenous disturbance. The reduced-order FE observer and the nonlinear disturbance observer are used to reconstruct the system state, faults and nonlinear disturbance simultaneously. Furthermore, the dynamic output feedback (DOF) controller is designed to compensate the actuator fault and disturbances. The Root-Mean-Square (RMS) gain is applied to reduce the impact of disturbance, and the limitation of zero initial condition is removed, which means that the initial values of the system and faults do not need to be known. At last, two examples are given to verify the effectiveness of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107452"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137852","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}
Shigen Gao , Kaibo Zhao , Tao Wen , Hongwei Wang , Lei Zhang
{"title":"Adaptive diagnosis observer for dynamical systems with dual actuator faults: A sign-corrected regressor design","authors":"Shigen Gao , Kaibo Zhao , Tao Wen , Hongwei Wang , Lei Zhang","doi":"10.1016/j.jfranklin.2024.107462","DOIUrl":"10.1016/j.jfranklin.2024.107462","url":null,"abstract":"<div><div>Safe critical systems often require punctual and accurate faults alarming and diagnosis to facilitate subsequent coping and handling. In this paper, an adaptive observers-based detection, isolation and diagnosis algorithms are designed for dynamical systems with dual frequently encountered types of actuator faults, i.e., additive and multiplicative faults. Fault detector, capable of circumventing false fault alarming in the presence of external disturbance and false fault relieving signals, is firstly designed, generating punctual faults detection signals. Followed by an adaptive diagnosis observer using novel sign-corrected regressor, rapid isolation and accurate diagnosis are thus guaranteed. The highlight of proposed sign-corrected regressor based diagnosis algorithms lies in that unbiased faults estimations are ensured even with systematic inputs without persistency of excitation. The convergence of adaptive diagnosis observer is guaranteed in the sense of Kalman–Yakubovich–Popov lemma, and state estimation and diagnosis error dynamics is ensured to be SPR. Robustness limit against external disturbances in the form of analytical expression is given. Simulation examples are presented to verify the effectiveness of theoretical findings.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107462"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143137864","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}
{"title":"Hidden Markov model-based event triggered H∞ filtering for singular Markov jump systems subject to general probabilities","authors":"Guanqi Wang , Feng Li , Xihong Fei , Jing Wang","doi":"10.1016/j.jfranklin.2024.107494","DOIUrl":"10.1016/j.jfranklin.2024.107494","url":null,"abstract":"<div><div>This paper investigates an issue with hidden Markov model-based event triggered <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> filtering for singular Markov jump systems subject to general probabilities. The general information issue is framed as one where the known or unknown elements consist not only about transition probabilities and mode detection probabilities, but also of the certain estimation errors that exist. In the previous literature, the case where both transition probabilities and mode detection probabilities are completely known, or completely unknown, or where both are partially known but there is no determined estimation error. By establishing a research framework based on hidden Markov model with general probability information, some analysis criteria of stochastically admissible with <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance are derived. Besides, in order to streamline data transmission, by using the method of linear matrix inequalities, an integrated research framework is developed for the problems to filter design and event-triggered mechanism. Ultimately, through a numerical instance and the dynamic Leontief model illustrate the efficacy of the proposed methodology.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107494"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138500","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}
Rui-Bing Li , Zhiguang Feng , Zhengyi Jiang , Haiping Du
{"title":"An improved constraint control framework for unmanned surface vehicles using command-filtered backstepping technique","authors":"Rui-Bing Li , Zhiguang Feng , Zhengyi Jiang , Haiping Du","doi":"10.1016/j.jfranklin.2024.107499","DOIUrl":"10.1016/j.jfranklin.2024.107499","url":null,"abstract":"<div><div>This work proposes an adaptive tracking controller for unmanned surface vessels (USVs) with full-state time-varying constraints using the command-filtered backstepping technique. Different from previous constraint control schemes, the constraints of this nature in the work, which arise sometime after the initiation of USVs operations rather than from the outset, are commonly encountered in practice, yet they have not received sufficient attention in existing schemes. By introducing the shifting function, the initial value setting range of USVs can be greatly expanded, even if these initial values are unknown. The core idea of the work is to reduce the conservatism of the USVs constraint control scheme, whose initial value needs to be set in the constraint domain, while realizing the state constraints after a preset time. To avoid the complex differentiation process of the virtual controller, the command-filtered is introduced in the backstepping framework. Ultimately, the feasibility of the scheme was confirmed by setting two different trajectory signals.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"362 2","pages":"Article 107499"},"PeriodicalIF":3.7,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143138508","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}