Journal of The Franklin Institute-engineering and Applied Mathematics最新文献

英文中文

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 Q2 AUTOMATION & CONTROL SYSTEMS

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

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.

本文对基于模糊近似的非对称非线性飞机动力学的重拟态和自适应控制设计进行了新的研究，特别强调将基于线性化的自适应飞行控制设计从局部范围扩展到半全局范围。基于线性化的自适应控制方法由于能够处理飞机系统动力学的复杂性，已被用于管理非对称非线性飞机系统。为了扩大基于线性化方法的应用范围，本文重点研究了一般非正则形式的飞机纵向动态模型。针对这类系统开发了一种基于半全局线性化的自适应控制方法。首先，利用局部线性化模型和相对度概念，设计了一种新的重参数化方法。随后，设计了自适应控制器，以保证对具有不同相对度的飞机系统进行稳定的渐近输出跟踪。新开发的自适应控制方法的效率通过仿真结果得到了验证。

{"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 Q2 AUTOMATION & CONTROL SYSTEMS

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

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.

高炉煤气流的合理稳定分布是维持高炉平稳运行的基础。因此，准确检测煤气流分布对高炉炼铁过程的生产率、稳定性和效率有着直接的影响。然而，通过单一预测模式和二维（2D）分布来捕捉炼铁过程中复杂的相互作用和动态变化是一项重大挑战，导致在处理不同异常情况时缺乏灵活性和可解释性。针对这一问题，本文提出了一种新颖的时空多模式三维（3D）BF 气体流预测方法。首先，采用皮尔逊相关分析来评估空间维度上的相关变量。多个变量之间精确的时间相关性与互信息（MI）相匹配，从而提取时空变量。然后，利用变异模式分解（VMD）对时空变量进行分解，并通过综合相关分析和傅立叶变换（FT）去除噪声，以识别和保留相关信息。最后，创新性地提出了 MI-VMD Informer，根据时空特征建立三种不同的预测模式，从而获得二维和三维气体流量分布。实际的 BF 生产数据验证了所提方法的优越性。

{"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 Q2 AUTOMATION & CONTROL SYSTEMS

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

This paper studies the output tracking control problem for a class of uncertain MIMO nonlinear systems. The motivation comes from how to deal with unknown coupling system dynamics between subsystems and achieve the desired tracking when the system has parameter uncertainties and external disturbances. The difficulty is to guarantee that tracking errors enter an arbitrarily prescribed neighbourhood within a finite time. Based on the construction of a time-varying dynamic gain associated with tracking errors and the effective manipulation of nonlinear parametrization, a novel robust feedback controller is built up to ensure the boundedness of all closed-loop signals and the convergence of tracking errors to a small neighborhood approaching the origin in a finite time. Finally, the feasibility of control strategy is verified by numerical and practical examples.

本文研究一类不确定多输入多输出非线性系统的输出跟踪控制问题。研究的动机来自于当系统存在参数不确定性和外部干扰时，如何处理子系统之间的未知耦合系统动力学并实现理想的跟踪。难点在于如何保证跟踪误差在有限时间内进入任意规定的邻域。在构建与跟踪误差相关的时变动态增益和有效处理非线性参数化的基础上，建立了一种新型鲁棒反馈控制器，以确保所有闭环信号的有界性和跟踪误差在有限时间内收敛到接近原点的小邻域。最后，通过数值和实际例子验证了控制策略的可行性。

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 Q2 AUTOMATION & CONTROL SYSTEMS

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

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.

随着全球变暖和大规模珊瑚白化事件对珊瑚礁生态系统造成的人为压力不断增加，人们对制定保护战略以恢复退化的珊瑚礁越来越感兴趣。其中一种方法就是将珊瑚幼虫移植到退化的珊瑚礁上。在本文中，我们使用延迟珊瑚-大型藻类模型来探讨珊瑚外部招募的影响。通过分析该系统中无大型藻类平衡和共生平衡的局部和全局稳定性，我们发现珊瑚的持续外部招募将有利于珊瑚与大型藻类的竞争。此外，我们选择延迟作为分岔参数，并证明在共存平衡附近的临界延迟处可能会出现霍普夫分岔。有趣的是，延迟可能会导致 ODE 系统中的全局渐近稳定平衡变得不稳定，从而导致周期性解的出现。此外，我们还利用最优控制理论分析了种群动态，并确定了最小外部招募对种群动态的影响。在数值模拟部分，我们利用印度东南部马纳尔湾珊瑚礁的 12 年（2005-2017 年）底栖覆盖数据集估算了珊瑚-巨藻动态参数。数值模拟验证并支持了理论结果。

{"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 Q2 AUTOMATION & CONTROL SYSTEMS

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

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.

文章介绍了一种新颖的控制设计方法，以实现以领导者为中心的时变编队跟踪（以领导者为中心的 TVFT），并避免配备领导者驱动编队系统的 Lipschitz 非线性多代理系统（MAS）发生碰撞。该方法解决了包括致动器偏差故障和领导者操纵在内的关键难题。它采用了两种新颖的控制方案：避免碰撞方案和基于编队观测器的 TVFT（基于 FO 的 TVFT）控制方案。碰撞规避方案通过防止代理间的碰撞来确保安全运行，而基于 FO 的 TVFT 控制方案则使跟随者能够在跟踪领导者的同时实现领导者驱动编队的 TVFT。为了实现这种基于 FO 的 TVFT 控制方案，每个跟随者都采用了一个编队观测器 (FO)，以持续实时地估计领导者的动态驱动编队，从而促进响应性编队跟踪。值得注意的是，这种基于 FO 的 TVFT 控制方案为 MAS 中以领导者为中心的 TVFT（即由领导者驱动的队形切换所产生的领导者驱动队形的 TVFT）建立了一个新颖的框架。此外，这种控制方法专为在潜在致动器偏差故障和不可预测的领导者操纵下运行的 Lipschitz 非线性 MAS 而设计。它基于李亚普诺夫稳定性理论，保证了跟随者的集体编队跟踪误差是均匀最终有界的（UUB）。最后，一个示例验证了所提方法的有效性。

{"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 Q2 AUTOMATION & CONTROL SYSTEMS

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

This article investigates the stability of networked control systems under two types of malicious attacks and bit rate constraints. The malicious attacks may lead to parameter mismatches, including scaling variable mismatches between the encoder and decoder sides and discrepancies between the data sent by the encoder and received by the decoder, causing system instability. To address these issues, scaling variable update rules are proposed for the encoder and decoder sides separately to mitigate the adverse effects of malicious attacks. A control strategy featuring a compensation term is designed to counteract the detrimental impacts of the mismatch. A lower bound on the bit rate is established to prevent quantization saturation and achieve exponential stability of the system. Finally, confirmatory and comparative simulations showcase the effectiveness of the theoretical insights and the merits of the proposed strategies, respectively.

本文研究了两种恶意攻击和比特率限制下网络控制系统的稳定性。恶意攻击可能导致参数失配，包括编码器和解码器之间的缩放变量失配，以及编码器发送的数据和解码器接收的数据之间的差异，从而造成系统不稳定。为解决这些问题，提出了分别针对编码器和解码器的缩放变量更新规则，以减轻恶意攻击的不利影响。设计了一种具有补偿项的控制策略，以抵消不匹配带来的不利影响。建立了比特率下限，以防止量化饱和并实现系统的指数稳定性。最后，确认和比较模拟分别展示了理论见解的有效性和所提策略的优点。

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 Q2 AUTOMATION & CONTROL SYSTEMS

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

This paper addresses the observer-based controller design problem for nonlinear time-delayed systems under input saturation. The nonlinearities are supposed to satisfy the quasi-one-sided Lipschitz condition, which is less conservative than the one-sided Lipschitz condition. Based on the nonlinear matrix inequalities, control law for nonlinear systems subject to input saturation, time delays, and unavailable states, some sufficient conditions have been developed for an augmented system containing the system state vector and the error vector to ensure the convergence of all states to zero. The paper used a decoupling approach to reduce the complexity of the corresponding observer and controller gain computations. Finally, the effectiveness of the developed results is validated using suitable examples.

本文探讨了输入饱和状态下非线性延时系统的基于观测器的控制器设计问题。非线性应满足准单边 Lipschitz 条件，该条件比单边 Lipschitz 条件保守。根据非线性矩阵不等式、输入饱和、时间延迟和不可用状态下非线性系统的控制法，为包含系统状态向量和误差向量的增强系统提出了一些充分条件，以确保所有状态收敛为零。论文采用解耦方法降低了相应观测器和控制器增益计算的复杂性。最后，利用合适的实例验证了所开发结果的有效性。

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 Q2 AUTOMATION & CONTROL SYSTEMS

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

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.

非线性多输入多输出（MIMO）严格反馈系统的初始状态往往是不可预测和随机的，现有的规定性能控制（PPC）技术只能在固定的初始值性能边界内保证系统的输出约束。本文介绍了一种为非线性系统量身定制的自适应 PPC 方法，使系统能够不受任意初始状态的影响，实现稳定跟踪。为了保证跟踪误差始终满足规定性能边界（PPB）包络线，我们在规定性能函数（PPF）的初始值和系统跟踪误差之间引入了非线性映射，从而产生了非对称时变性能边界。在此基础上，在反步进框架下提出了一种自适应 PPC 方案，并与非线性扰动观测器（NDO）集成。无论外部干扰或系统初始状态如何，该方法都能确保跟踪误差保持在所需的 PPB 范围内。为防止 "复杂性爆炸"，采用了动态表面控制（DSC）技术来过滤每个子系统的虚拟控制信号。此外，还证明了闭环信号的最终均匀约束性，并引入了一个实际飞行器滚转控制案例来验证所提方法的有效性。

{"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 Q2 AUTOMATION & CONTROL SYSTEMS

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

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.

本文关注的是一类具有马尔可夫跃迁参数（MJPs）和时变延迟（ATVDs）的复值神经网络（CVNNs）在随机欺骗攻击（RDAs）下的安全稳定问题。与现有文献不同的是，本文所考虑的 RDAs 瞬时性和强度都是随机的，更符合实际情况。其次，本文构建了包含更多 MJPs 和 ATVDs 信息的通用 Lyapunov-Krasovskii 函数（LKF），并提出了包含更多自由矩阵和 ATVDs 参数的新复值互凸不等式（CVRCI），这对降低安全稳定准则的保守性起到了关键作用。第三，引入离散事件触发机制（DETM）以减轻通信网络的传输负担，其中 DETM 的触发条件主要依赖于当前采样状态和上次触发状态。然后，结合 LKF、CVRCI、DETM 和其他分析技术，用线性矩阵不等式（LMI）为底层系统提供了一些不太保守的安全稳定准则。最后，我们通过两个数值示例和一个实际例子验证了我们结果的有效性。

{"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 Q2 AUTOMATION & CONTROL SYSTEMS

Journal of The Franklin Institute-engineering and Applied Mathematics

Pub Date : 2024-10-16 DOI: 10.1016/j.jfranklin.2024.107320

Haemin Lee

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.

本文介绍了一种可控性度量，用于定量评估具有无阻尼柔性结构的控制系统的干扰抑制能力。该指标通过获取干扰抑制能力度（DoDR）的稳态解得出，DoDR 是一种基于格拉米安的指标，用于评估外部干扰下的可控性。为了解决无阻尼系统中格拉米矩阵随时间发散的问题，我们开发并证明了几个与无阻尼系统中格拉米矩阵相关的定理。利用这些定理推导出的解决方案以闭合形式表示，并用模态矩阵、输入矩阵、扰动矩阵和扰动协方差矩阵表示。由于推导出的解不需要求解 Lyapunov 方程，而大多数基于格拉米安的度量通常都需要求解 Lyapunov 方程，因此即使对于高维系统，也能实现高效计算。数值示例证实，所提出的测量方法是无阻尼系统的精确 DoDR 解决方案，保留了之前确定的 DoDR 物理含义。控制模拟进一步验证了它在预测干扰抑制性能方面的准确性，突出了它在致动器分配方面的价值。

{"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

首页上一页

下一页尾页

类型

全部化学•材料生命科学医学物理工程技术环境•农林材料科学地球科学法学管理学化学环境科学与生态学计算机科学教育学经济学农林科学人文科学生物学数学物理与天体物理心理学综合性期刊其他工业工程理学历史学农学文学信息工程

数据库

全部 ACS Publications Elsevier ieeexplore Springer The Royal Society of Chemistry Wiley

期刊

Journal of The Franklin Institute-engineering and Applied Mathematics

全部 Acc. Chem. Res. ACS Applied Bio Materials ACS Appl. Electron. Mater. ACS Appl. Energy Mater. ACS Appl. Mater. Interfaces ACS Appl. Nano Mater. ACS Appl. Polym. Mater. ACS BIOMATER-SCI ENG ACS Catal. ACS Cent. Sci. ACS Chem. Biol. ACS Chemical Health & Safety ACS Chem. Neurosci. ACS Comb. Sci. ACS Earth Space Chem. ACS Energy Lett. ACS Infect. Dis. ACS Macro Lett. ACS Mater. Lett. ACS Med. Chem. Lett. ACS Nano ACS Omega ACS Photonics ACS Sens. ACS Sustainable Chem. Eng. ACS Synth. Biol. Anal. Chem. BIOCHEMISTRY-US Bioconjugate Chem. BIOMACROMOLECULES Chem. Res. Toxicol. Chem. Rev. Chem. Mater. CRYST GROWTH DES ENERG FUEL Environ. Sci. Technol. Environ. Sci. Technol. Lett. Eur. J. Inorg. Chem. IND ENG CHEM RES Inorg. Chem. J. Agric. Food. Chem. J. Chem. Eng. Data J. Chem. Educ. J. Chem. Inf. Model. J. Chem. Theory Comput. J. Med. Chem. J. Nat. Prod. J PROTEOME RES J. Am. Chem. Soc. LANGMUIR MACROMOLECULES Mol. Pharmaceutics Nano Lett. Org. Lett. ORG PROCESS RES DEV ORGANOMETALLICS J. Org. Chem. J. Phys. Chem. J. Phys. Chem. A J. Phys. Chem. B J. Phys. Chem. C J. Phys. Chem. Lett. Analyst Anal. Methods Biomater. Sci. Catal. Sci. Technol. Chem. Commun. Chem. Soc. Rev. CHEM EDUC RES PRACT CRYSTENGCOMM Dalton Trans. Energy Environ. Sci. ENVIRON SCI-NANO ENVIRON SCI-PROC IMP ENVIRON SCI-WAT RES Faraday Discuss. Food Funct. Green Chem. Inorg. Chem. Front. Integr. Biol. J. Anal. At. Spectrom. J. Mater. Chem. A J. Mater. Chem. B J. Mater. Chem. C Lab Chip Mater. Chem. Front. Mater. Horiz. MEDCHEMCOMM Metallomics Mol. Biosyst. Mol. Syst. Des. Eng. Nanoscale Nanoscale Horiz. Nat. Prod. Rep. New J. Chem. Org. Biomol. Chem. Org. Chem. Front. PHOTOCH PHOTOBIO SCI PCCP Polym. Chem.

﹀