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Discrete-time, normalized recursive least squares based concurrent learning for online function approximation
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-15 DOI: 10.1016/j.automatica.2025.112273
Ouboti Djaneye-Boundjou, Raúl Ordóñez
{"title":"Discrete-time, normalized recursive least squares based concurrent learning for online function approximation","authors":"Ouboti Djaneye-Boundjou,&nbsp;Raúl Ordóñez","doi":"10.1016/j.automatica.2025.112273","DOIUrl":"10.1016/j.automatica.2025.112273","url":null,"abstract":"<div><div>Concurrent learning (CL) leverages strategic data collection and usage to deliver effective learning under conditions less demanding than persistency of excitation. Using a linear-in-the-parameters model to approximate a general discrete-time (DT) uncertainty, we develop a DT normalized recursive least squares-based CL algorithm, thereby mixing CL and least squares. Our algorithm not only preserves the properties of the standard normalized recursive least squares algorithm for both structured and unstructured DT uncertainties, but it additionally yields convergence of the parameter error to the origin. This is achieved if a matrix composed of vectors in the function approximator’s regressor has as many linearly independent columns as the dimensions of the said vectors, a condition that can be monitored and realized online with exciting, rather than persistently exciting, vectors. Numerical simulations of our proposed algorithm, including its use when implementing an indirect adaptive controller for a class of nonlinear continuous-time and discrete-time plants, demonstrate its value.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112273"},"PeriodicalIF":4.8,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829159","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Set-membership estimation for nonlinear systems based on zonotope analysis
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-15 DOI: 10.1016/j.automatica.2025.112278
Hao Yang , Huaicheng Yan , Zhichen Li , Meng Wang , Fuwen Yang
{"title":"Set-membership estimation for nonlinear systems based on zonotope analysis","authors":"Hao Yang ,&nbsp;Huaicheng Yan ,&nbsp;Zhichen Li ,&nbsp;Meng Wang ,&nbsp;Fuwen Yang","doi":"10.1016/j.automatica.2025.112278","DOIUrl":"10.1016/j.automatica.2025.112278","url":null,"abstract":"<div><div>In this paper, the zonotopic set-membership state estimation (SMSE) problem for nonlinear systems is investigated. To handle the nonlinear dynamics of the system, a semi-infinite programming (SIP) scheme based on zonotope analysis is established and solved. The SIP scheme aims to obtain a tight zonotope to enclose the nonlinear dynamics of the system. Subsequently, the robustness performance of the estimation error system is analyzed based on the <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance. Sufficient design conditions are derived to guarantee that the state estimation results satisfy the preset <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> performance index. Finally, illustrative examples are given to demonstrate the effectiveness of the proposed method.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112278"},"PeriodicalIF":4.8,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829161","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Constructive approximate solutions to classes of state-feedback control problems for stochastic nonlinear systems 随机非线性系统状态反馈控制问题类别的建设性近似解
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-15 DOI: 10.1016/j.automatica.2025.112280
Zilong Gong , Thulasi Mylvaganam , Giordano Scarciotti
{"title":"Constructive approximate solutions to classes of state-feedback control problems for stochastic nonlinear systems","authors":"Zilong Gong ,&nbsp;Thulasi Mylvaganam ,&nbsp;Giordano Scarciotti","doi":"10.1016/j.automatica.2025.112280","DOIUrl":"10.1016/j.automatica.2025.112280","url":null,"abstract":"<div><div>In this brief paper we propose a systematic method to construct approximate solutions to classes of state-feedback control problems involving stochastic nonlinear systems. The method avoids solving partial differential equations and instead requires only the solution of simpler <em>algebraic</em> equations. Exploiting a dynamic extension, we provide approximate solutions, with an exactly quantifiable level of approximation, for optimal control problems and min–max zero-sum games, and exact solutions for the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> control problem. Extensive numerical simulations demonstrate improved performances with respect to the control laws obtained via the corresponding linear quadratic approximations and deterministic nonlinear approaches.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112280"},"PeriodicalIF":4.8,"publicationDate":"2025-04-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829160","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Variable Projection algorithms: Theoretical insights and a novel approach for problems with large residual 变量投影算法:理论见解和处理大残差问题的新方法
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-14 DOI: 10.1016/j.automatica.2025.112300
Guangyong Chen , Peng Xue , Min Gan , Jing Chen , Wenzhong Guo , C.L. Philip Chen
{"title":"Variable Projection algorithms: Theoretical insights and a novel approach for problems with large residual","authors":"Guangyong Chen ,&nbsp;Peng Xue ,&nbsp;Min Gan ,&nbsp;Jing Chen ,&nbsp;Wenzhong Guo ,&nbsp;C.L. Philip Chen","doi":"10.1016/j.automatica.2025.112300","DOIUrl":"10.1016/j.automatica.2025.112300","url":null,"abstract":"<div><div>This paper delves into an in-depth exploration of the Variable Projection (VP) algorithm, a powerful tool for solving separable nonlinear optimization problems across multiple domains, including system identification, image processing, and machine learning. We first establish a theoretical framework to examine the effect of the approximate treatment of the coupling relationship among parameters on the local convergence of the VP algorithm and theoretically prove that the Kaufman’s VP algorithm can achieve a similar convergence rate as the Golub &amp; Pereyra’s form. These studies fill the gap in the existing convergence theory analysis, and provide a solid foundation for understanding the mechanism of VP algorithm and broadening its application horizons. Furthermore, inspired by these theoretical insights, we design a refined VP algorithm, termed VPLR, to address separable nonlinear optimization problems with large residual. This algorithm enhances convergence performance by addressing the coupling relationship between parameters in separable models and continually refining the approximated Hessian matrix to counteract the influence of large residual. The effectiveness of this refined algorithm is corroborated through numerical experiments.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112300"},"PeriodicalIF":4.8,"publicationDate":"2025-04-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143829158","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Angle-constrained distributed formation control with disturbance rejection
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-12 DOI: 10.1016/j.automatica.2025.112314
Cheng Peng, Jie Huang
{"title":"Angle-constrained distributed formation control with disturbance rejection","authors":"Cheng Peng,&nbsp;Jie Huang","doi":"10.1016/j.automatica.2025.112314","DOIUrl":"10.1016/j.automatica.2025.112314","url":null,"abstract":"<div><div>The problem of angle-constrained distributed formation control was studied recently for double integrator systems. In this paper, we further study the problem of angle-constrained distributed formation control with disturbance rejection for double integrator systems. The disturbances are in the class of trigonometric polynomial with arbitrary unknown amplitudes, unknown initial phases, and unknown frequencies, which contain unknown arbitrary constant disturbance as a special case. We develop a distributed control law that combines the adaptive control technique and the internal model and show that, under the standard assumptions, the control law achieves the desired formation in the presence of persistent disturbances. Moreover, we show that the proposed control law is independent of the global coordinate frame. Numerical examples are used to illustrate our design.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112314"},"PeriodicalIF":4.8,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823199","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Distributed state estimation and fault diagnosis for networked systems under jointly connected switching networks
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-12 DOI: 10.1016/j.automatica.2025.112303
Limei Liang , Rong Su , Shuai Liu
{"title":"Distributed state estimation and fault diagnosis for networked systems under jointly connected switching networks","authors":"Limei Liang ,&nbsp;Rong Su ,&nbsp;Shuai Liu","doi":"10.1016/j.automatica.2025.112303","DOIUrl":"10.1016/j.automatica.2025.112303","url":null,"abstract":"<div><div>In this paper, the distributed state estimation of the target system and the distributed fault diagnosis of the sensor network are investigated for networked systems under jointly connected switching networks. In this scenario, to eliminate the effect of external disturbance, we first construct a distributed observer system consisting of <span><math><mi>N</mi></math></span> distributed unknown input observers (UIOs), each of which is located on the sensor and can only access the partial input and output information of the target system and the transmitted state estimation from its neighbors. Owing to the limitation of communication conditions, the network topology of the distributed observer system is often time-varying and disconnected. To solve this problem, a novel observer parameter design method is proposed, which overcomes the limitation that the existing techniques can only rely on fast switching to estimate the state of the target system. On this basis, a distributed sensor fault diagnosis scheme based on the observer system is designed and its performance is analyzed. In addition, a faulty sensor replacement strategy based on graph theory and system detectability is proposed to ensure that the faulty sensors will not affect the state estimation performance of the distributed observer system. Finally, an illustrative example is introduced to verify the effectiveness of the proposed scheme.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112303"},"PeriodicalIF":4.8,"publicationDate":"2025-04-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143823200","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Remote secure fusion estimation of cyber–physical systems under false data injection attacks
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-11 DOI: 10.1016/j.automatica.2025.112271
Mengping Xing , Jianquan Lu , Yang Liu
{"title":"Remote secure fusion estimation of cyber–physical systems under false data injection attacks","authors":"Mengping Xing ,&nbsp;Jianquan Lu ,&nbsp;Yang Liu","doi":"10.1016/j.automatica.2025.112271","DOIUrl":"10.1016/j.automatica.2025.112271","url":null,"abstract":"<div><div>This paper discusses the secure fusion estimation issue for cyber–physical systems subject to malicious attacks. Smart sensors equipped with computing modules transmit local posteriori estimations to remote fusion center through wireless communication channels. The transmission process is considered to be vulnerable to false data injection attacks. Therefore, to enhance the resilient of the estimator, protection and fusion strategies are collaboratively designed under cases where the attack information is unavailable or partially available. Noteworthy, instead of using innovation information from smart sensors, a set of auxiliary data transmitted along with local estimations is utilized for attack detection at the remote side. Then, according to the detection signal, the protector at each instant decides whether to drop the received estimations directly, and whether to take compensation measures. Further, the evolution and convergence results of fusion estimation covariance under different cases are analytically derived, and the comparisons of the convergence results are also theoretically deduced. Besides, most of existing achievements on fusion estimation are derived by utilizing local optimal Kalman filter, which implies that the fusion estimation may not be globally optimal and can be further improved. Thus, based on the analysis of steady-state and convergence of error covariance for Kalman filter, a novel iterative procedure for updating the local filter gains is proposed as the first attempt to further reduce fusion estimation error. Several examples including practical application in radar tracking and microgrids are finally provided to verify the derived results.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112271"},"PeriodicalIF":4.8,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143817055","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Velocity-free task-space regulator for robot manipulators with external disturbances
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-11 DOI: 10.1016/j.automatica.2025.112294
Haiwen Wu , Bayu Jayawardhana , Dabo Xu
{"title":"Velocity-free task-space regulator for robot manipulators with external disturbances","authors":"Haiwen Wu ,&nbsp;Bayu Jayawardhana ,&nbsp;Dabo Xu","doi":"10.1016/j.automatica.2025.112294","DOIUrl":"10.1016/j.automatica.2025.112294","url":null,"abstract":"<div><div>This paper addresses the problem of task-space robust regulation of robot manipulators subject to external disturbances. A velocity-free control law is proposed by combining the internal model principle and the passivity-based output-feedback control approach. The resulting controller not only ensures asymptotic convergence of the regulation error but also rejects unwanted external sinusoidal disturbances. The potential of the proposed method lies in its simplicity, intuitiveness, and straightforward gain selection criteria for the synthesis of multi-joint robot manipulator control systems.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112294"},"PeriodicalIF":4.8,"publicationDate":"2025-04-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143817058","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Stochastic Nash equilibrium seeking for players with linear dynamics
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-10 DOI: 10.1016/j.automatica.2025.112312
Xiongnan He, Zongli Lin
{"title":"Stochastic Nash equilibrium seeking for players with linear dynamics","authors":"Xiongnan He,&nbsp;Zongli Lin","doi":"10.1016/j.automatica.2025.112312","DOIUrl":"10.1016/j.automatica.2025.112312","url":null,"abstract":"<div><div>In this paper, we will study the problem of stochastic Nash equilibrium seeking in an <span><math><mi>N</mi></math></span>-player non-cooperative game for players with general linear dynamics. Our focus is on minimizing the expectation value with respect to the distribution of uncertainties in players’ individual cost functions. We adopt two regularization approaches, the Tikhonov regularization scheme and the iterative proximal point method. These approaches provide an advantage over the standard stochastic approximation method by relaxing the requirement for strongly monotone cost functions to monotone ones. We examine distributed stochastic Nash equilibrium seeking for players with linear dynamics over a strongly connected graph. We provide an example involving energy systems to demonstrate the efficacy of our proposed algorithms.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112312"},"PeriodicalIF":4.8,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143807861","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
Convex operator-theoretic methods in stochastic control
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-04-10 DOI: 10.1016/j.automatica.2025.112274
Boris Houska
{"title":"Convex operator-theoretic methods in stochastic control","authors":"Boris Houska","doi":"10.1016/j.automatica.2025.112274","DOIUrl":"10.1016/j.automatica.2025.112274","url":null,"abstract":"<div><div>This paper is about operator-theoretic methods for solving nonlinear stochastic optimal control problems to global optimality. These methods leverage on the convex duality between optimally controlled diffusion processes and Hamilton–Jacobi–Bellman (HJB) equations for nonlinear systems in an ergodic Hilbert–Sobolev space. In detail, a generalized Bakry–Emery condition is introduced under which one can establish the global exponential stabilizability of a large class of nonlinear systems. It is shown that this condition is sufficient to ensure the existence of solutions of the ergodic HJB for stochastic optimal control problems on infinite time horizons. Moreover, a novel dynamic programming recursion for bounded linear operators is introduced, which can be used to numerically solve HJB equations by a Galerkin projection.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"177 ","pages":"Article 112274"},"PeriodicalIF":4.8,"publicationDate":"2025-04-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143807940","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"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
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