Journal of The Franklin Institute-engineering and Applied Mathematics最新文献_第5页

Fuzzy approximation-based reparametrization and adaptive control design of nonlinear aircraft dynamics 基于模糊近似的非线性飞机动力学重参数化和自适应控制设计

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-19 DOI: 10.1016/j.jfranklin.2024.107334

Shipeng Wang , Feifei Li , Yanjun Zhang

{"title":"Fuzzy approximation-based reparametrization and adaptive control design of nonlinear aircraft dynamics","authors":"Shipeng Wang , Feifei Li , Yanjun Zhang","doi":"10.1016/j.jfranklin.2024.107334","DOIUrl":"10.1016/j.jfranklin.2024.107334","url":null,"abstract":"<div><div>This paper conducts a new study on fuzzy approximation-based reparametrization and adaptive control design of non-canonical nonlinear aircraft dynamics, with particular focus on emphasizing the expansion of linearization-based adaptive flight control designs from local to semi-global scopes. The linearization-based adaptive control method has been employed for managing non-canonical nonlinear aircraft systems, owing to its capability in handling the complexity of aircraft system dynamics. To enhance the operational range of the linearization-based approach, this paper focuses on the aircraft longitudinal dynamic model in general non-canonical forms. A semi-global linearization-based adaptive control method is developed for this kind of system. Firstly, a new reparametrization is devised, leveraging local linearized models and a concept of relative degree. Subsequently, adaptive controllers are designed to guarantee stable and asymptotic output tracking for aircraft systems with various relative degrees. The efficiency of the newly developed adaptive control approach is validated through simulation outcomes.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107334"},"PeriodicalIF":3.7,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535745","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

Spatio-temporal and multi-mode prediction for blast furnace gas flow 高炉煤气流的时空和多模式预测

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-18 DOI: 10.1016/j.jfranklin.2024.107330

Yaxian Zhang , Kai Guo , Sen Zhang , Yongliang Yang , Wendong Xiao

{"title":"Spatio-temporal and multi-mode prediction for blast furnace gas flow","authors":"Yaxian Zhang , Kai Guo , Sen Zhang , Yongliang Yang , Wendong Xiao","doi":"10.1016/j.jfranklin.2024.107330","DOIUrl":"10.1016/j.jfranklin.2024.107330","url":null,"abstract":"<div><div>The reasonable and stable distribution of blast furnace (BF) gas flow is the basis for maintaining the smooth operation of BF. Therefore, the accurate detection of the gas flow distribution is essential in the BF ironmaking process due to the direct impact on productivity, stability, and efficiency. However, there is a significant challenge to capture the complex interactions and dynamic changes of the ironmaking process by single predictive mode and two-dimensional (2D) distribution, leading to a lack of flexibility and interpretability in dealing with different abnormalities. To address this issue, a novel spatio-temporal multi-mode approach for three-dimensional (3D) BF gas flow prediction is proposed in this article. First, Pearson correlation analysis is employed to evaluate correlated variables in the spatial dimension. The precise temporal correlations among the multiple variables are matched with mutual information (MI) to extract spatio-temporal variables. Next, the spatio-temporal variables are decomposed utilizing variation mode decomposition (VMD), and the noise is removed with integrated correlation analysis and Fourier transform (FT) to identify and retain the relevant information. Finally, the MI-VMD-Informer is innovatively proposed to establish three different prediction modes based on spatio-temporal features, thus obtaining 2D and 3D gas flow distributions. The superiority of the proposed method is verified by actual BF production data.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107330"},"PeriodicalIF":3.7,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535743","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

Practical tracking control for a class of uncertain MIMO nonlinear systems with unmatched disturbances 一类具有不匹配干扰的不确定多输入多输出非线性系统的实用跟踪控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-18 DOI: 10.1016/j.jfranklin.2024.107336

Shaohua Yang, Xin Yuan, Zong-Yao Sun

引用次数: 0

Mathematical insights into the influence of delay and external recruitment on coral-macroalgae system 从数学角度看延迟和外部招募对珊瑚-巨藻系统的影响

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-18 DOI: 10.1016/j.jfranklin.2024.107329

Mengfan Tan, Guijie Lan, Chunjin Wei

{"title":"Mathematical insights into the influence of delay and external recruitment on coral-macroalgae system","authors":"Mengfan Tan, Guijie Lan, Chunjin Wei","doi":"10.1016/j.jfranklin.2024.107329","DOIUrl":"10.1016/j.jfranklin.2024.107329","url":null,"abstract":"<div><div>As anthropogenic pressures on coral reef ecosystems continue to increase due to global warming and mass coral bleaching events, there is growing interest in developing conservation strategies to restore degraded coral reefs. One such approach is the transplantation of coral larvae onto degraded reefs. In this paper, we use a delayed coral-macroalgae model to explore the effects of external recruitment of coral. By analyzing the local and global stability of macroalgae-free equilibrium and coexistence equilibrium in the system, we find that sustained external recruitment of coral will favor coral competition with macroalgae. In addition, we choose delay as a bifurcation parameter and demonstrate that Hopf bifurcation may occur at a critical delay near the coexistence equilibrium. Interestingly, the delay may cause the globally asymptotically stable equilibrium in the ODE system to become unstable, resulting in the appearance of periodic solutions. Furthermore, we analyze population dynamics using optimal control theory and determine the effect of minimum external recruitment on the population dynamics. In the numerical simulation section, parameters of coral-macroalgae dynamics are estimated by using a 12-year (2005–2017) benthic cover dataset of coral reefs in the Gulf of Mannar, southeastern India. The theoretical results are validated and supported by numerical simulations.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107329"},"PeriodicalIF":3.7,"publicationDate":"2024-10-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142536248","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

Observer-based leader-centric time-varying formation tracking control for nonlinear multi-agent systems with collision avoidance 基于观测器的以领导者为中心的时变编队跟踪控制，用于具有防碰撞功能的非线性多代理系统

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-16 DOI: 10.1016/j.jfranklin.2024.107318

Ankush Thakur, Kaushik Halder, Tushar Jain

{"title":"Observer-based leader-centric time-varying formation tracking control for nonlinear multi-agent systems with collision avoidance","authors":"Ankush Thakur, Kaushik Halder, Tushar Jain","doi":"10.1016/j.jfranklin.2024.107318","DOIUrl":"10.1016/j.jfranklin.2024.107318","url":null,"abstract":"<div><div>The article introduces a novel control design methodology to achieve leader-centric time-varying formation tracking (leader-centric TVFT) with collision avoidance for Lipschitz nonlinear multi-agent systems (MASs) equipped with a leader-driven formation system. This methodology addresses key challenges, including actuator bias faults and leader maneuvering. It employs two novel control schemes: a collision avoidance scheme and a formation observer-based TVFT (FO-based TVFT) control scheme. The collision avoidance scheme ensures safe operation by preventing inter-agent collisions, while the FO-based TVFT control scheme enables followers to achieve TVFT for leader-driven formations while tracking the leader. To implement this FO-based TVFT control scheme, each follower employs a formation observer (FO) to continuously estimate the leader’s dynamically driven formations in real-time, facilitating responsive formation tracking. Notably, this FO-based TVFT control scheme establishes a novel framework for leader-centric TVFT (i.e., TVFT for leader-driven formations resulting from leader-driven formation switching) in MASs. Furthermore, this control methodology is specifically designed for Lipschitz nonlinear MASs operating under potential actuator bias faults and unpredictable leader maneuvering. It guarantees that the collective formation tracking error of followers is uniformly ultimately bounded (UUB), based on Lyapunov’s stability theory. Finally, an illustrative example validates the effectiveness of the proposed approach.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107318"},"PeriodicalIF":3.7,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142552971","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

Stability of networked control systems under malicious attacks and bit rate constraints 恶意攻击和比特率限制下网络控制系统的稳定性

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-16 DOI: 10.1016/j.jfranklin.2024.107319

Wen-Hui Wang , Yan-Wu Wang , Meng-Jie Hu , Wu Yang

引用次数: 0

Observer-based control for time-delayed quasi-one-sided Lipschitz nonlinear systems under input saturation 输入饱和状态下基于观测器的时延准单边 Lipschitz 非线性系统控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-16 DOI: 10.1016/j.jfranklin.2024.107326

Amged Hamid Esmail , Imran Ghous , Zhaoxia Duan , Mujtaba Hussain Jaffery , Shuo Li

引用次数: 0

Robust adaptive prescribed performance control for nonlinear systems with arbitrary initial states 具有任意初始状态的非线性系统的鲁棒自适应规定性能控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-16 DOI: 10.1016/j.jfranklin.2024.107321

Shiwei Chen , Wei Wang , Junfang Fan

{"title":"Robust adaptive prescribed performance control for nonlinear systems with arbitrary initial states","authors":"Shiwei Chen , Wei Wang , Junfang Fan","doi":"10.1016/j.jfranklin.2024.107321","DOIUrl":"10.1016/j.jfranklin.2024.107321","url":null,"abstract":"<div><div>The initial state of nonlinear MIMO strict feedback systems is often unpredictable and random, and existing prescribed performance control (PPC) techniques can only guarantee system output constraints within a fixed initial value performance boundary. In this paper, an adaptive PPC method tailored for nonlinear systems was introduced, enabling the system stable tracking regardless of the arbitrary initial states. To guarantee that the tracking error consistently meets the prescribed performance boundary(PPB) envelope, we introduce a nonlinear mapping between the initial value of the prescribed performance functions(PPFs) and the system tracking errors, resulting in an asymmetric time-varying performance boundary. Building upon this foundation, an adaptive PPC scheme is proposed under the backstepping framework, integrated with a nonlinear disturbance observer (NDO). This method ensures that the tracking error remains within the desired PPB, regardless of external disturbances or system initial states. To prevent ‘complexity explosion’, a dynamic surface control (DSC) technology is employed to filter the virtual control signals of each subsystem. Furthermore, the ultimate uniform boundedness of the closed-loop signal has been demonstrated, and a practical flight vehicles roll control case was introduced to validate the efficacy of the proposed method.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 18","pages":"Article 107321"},"PeriodicalIF":3.7,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142552970","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

Discrete event-triggered security control for Markovian CVNNs with additive time-varying delays under random deception attacks 随机欺骗攻击下具有加性时变延迟的马尔可夫 CVNN 的离散事件触发安全控制

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-16 DOI: 10.1016/j.jfranklin.2024.107324

Haiyang Zhang , Lianglin Xiong , Hongxing Chang , Jinde Cao , Zhang Yi

{"title":"Discrete event-triggered security control for Markovian CVNNs with additive time-varying delays under random deception attacks","authors":"Haiyang Zhang , Lianglin Xiong , Hongxing Chang , Jinde Cao , Zhang Yi","doi":"10.1016/j.jfranklin.2024.107324","DOIUrl":"10.1016/j.jfranklin.2024.107324","url":null,"abstract":"<div><div>This paper is concerned with the security stabilization problem for a class of Complex-valued Neural Networks (CVNNs) with Markov Jump Parameters (MJPs) and Additive Time-varying Delays (ATVDs) under Random Deception Attacks (RDAs). Different from the existing literature, the instant and strength of RDAs considered in this paper is both random, which is more in line with the real situation. Secondly, a general Lyapunov–Krasovskii Functional (LKF) contains more information about MJPs and ATVDs is constructed, and a new Complex-valued Reciprocally Convex Inequality (CVRCI) containing more free matrices and ATVDs parameters is proposed, which play a key role in reducing the conservativeness of security stabilization criteria. Thirdly, a Discrete Event-triggered Mechanism (DETM) is introduced to mitigate the transmission burden of communication networks, in which the triggering condition of DETM mainly relies on the current sampled state and the last triggered state. Then, by combining with the LKF, CVRCI, DETM, and other analysis techniques, some less conservative security stabilization criteria for the underlying systems are provided in terms of Linear Matrix Inequalities (LMIs). Finally, the effectiveness of our results are verified by two numerical examples and a practical example.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 17","pages":"Article 107324"},"PeriodicalIF":3.7,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142533642","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

Controllability measure for disturbance rejection capabilities of control systems with undamped flexible structures 无阻尼柔性结构控制系统干扰抑制能力的可控性衡量标准

IF 3.7 3区计算机科学

Journal of The Franklin Institute-engineering and Applied Mathematics Pub Date : 2024-10-16 DOI: 10.1016/j.jfranklin.2024.107320

Haemin Lee

{"title":"Controllability measure for disturbance rejection capabilities of control systems with undamped flexible structures","authors":"Haemin Lee","doi":"10.1016/j.jfranklin.2024.107320","DOIUrl":"10.1016/j.jfranklin.2024.107320","url":null,"abstract":"<div><div>This paper introduces a controllability measure for quantitatively evaluating the disturbance rejection capabilities of control systems with undamped flexible structures. The measure is derived by obtaining the steady-state solution of the degree of disturbance rejection capability (DoDR), a Gramian-based measure used to assess controllability under external disturbances. To address the issue of Gramian matrices diverging over time in undamped systems, we have developed and proven several theorems related to Gramian matrices in undamped systems. The resulting solution, derived using these theorems is represented in a closed-form and expressed in terms of the modal matrix, input matrix, disturbance matrix, and disturbance covariance matrix. Since the derived solution does not require solving Lyapunov equations, which is typically required in most Gramian-based measures, it enables efficient computations, even for high-dimensional systems. Numerical examples confirm that the proposed measure serves as an exact DoDR solution for undamped systems, preserving the previously established physical meaning of DoDR. Control simulations further validate its accuracy in predicting disturbance rejection performance, highlighting its value in actuator allocation.</div></div>","PeriodicalId":17283,"journal":{"name":"Journal of The Franklin Institute-engineering and Applied Mathematics","volume":"361 17","pages":"Article 107320"},"PeriodicalIF":3.7,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142534129","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