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Exact prescribed-time stabilization and observer design for a class of MIMO nonlinear systems 一类MIMO非线性系统的精确定时镇定与观测器设计
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2026-01-02 DOI: 10.1016/j.automatica.2025.112810
Bin Zhou
{"title":"Exact prescribed-time stabilization and observer design for a class of MIMO nonlinear systems","authors":"Bin Zhou","doi":"10.1016/j.automatica.2025.112810","DOIUrl":"10.1016/j.automatica.2025.112810","url":null,"abstract":"<div><div>This paper addresses the problems of exact prescribed-time stabilization and observer design for a class of multi-input-multi-output (MIMO) nonlinear systems. By introducing the concept of left and right clustered matrices and exploring their properties, solutions to two classes of parametric Lyapunov equations (PLEs) associated with the coefficients of the linear part of the MIMO nonlinear systems are thoroughly investigated. These two PLEs are then utilized as the key tool to solve respectively the exact prescribed-time stabilization of the MIMO nonlinear system where the nonlinear functions satisfy a linear growth condition with unknown coefficients, and the exact prescribed-time observer design of the MIMO nonlinear system where the nonlinear functions are known and satisfy the Lipschitz condition. The approach is also extended to solve the problem of prescribed-time stabilization of a class of MIMO nonlinear systems by observer-based output feedback. Finally, two numerical examples demonstrate the effectiveness of the proposed approaches.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112810"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884869","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
Online learning of nonlinear parametric models under non-smooth regularization using EKF and ADMM 基于EKF和ADMM的非光滑正则化非线性参数模型在线学习
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2025-12-19 DOI: 10.1016/j.automatica.2025.112787
Lapo Frascati , Alberto Bemporad
{"title":"Online learning of nonlinear parametric models under non-smooth regularization using EKF and ADMM","authors":"Lapo Frascati ,&nbsp;Alberto Bemporad","doi":"10.1016/j.automatica.2025.112787","DOIUrl":"10.1016/j.automatica.2025.112787","url":null,"abstract":"<div><div>This paper proposes a novel combination of extended Kalman filtering (EKF) with the alternating direction method of multipliers (ADMM) for learning parametric nonlinear models online under non-smooth regularization terms, including <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>1</mn></mrow></msub></math></span> and <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span> penalties and bound constraints on model parameters. For the case of linear time-varying models and non-smooth convex regularization terms, we provide a sublinear regret bound that ensures the proper behavior of the online learning strategy. The approach is computationally efficient for a wide range of regularization terms, which makes it appealing for its use in embedded control applications for online model adaptation. We show the performance of the proposed method in three simulation examples, highlighting its effectiveness compared to other batch and online algorithms.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112787"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145784442","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
Two-component nanoparticle self-assembly: Modeling, analysis, and structure control 双组分纳米粒子自组装:建模,分析和结构控制
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2025-12-17 DOI: 10.1016/j.automatica.2025.112755
Zheng Ning , Shuangshuang Yu , Chao Ge , Ge Chen
{"title":"Two-component nanoparticle self-assembly: Modeling, analysis, and structure control","authors":"Zheng Ning ,&nbsp;Shuangshuang Yu ,&nbsp;Chao Ge ,&nbsp;Ge Chen","doi":"10.1016/j.automatica.2025.112755","DOIUrl":"10.1016/j.automatica.2025.112755","url":null,"abstract":"<div><div>Two-component chemical self-assembly has been a decisive method of creating various structures and is the basis of the superlattice in material science; however because the process of self-assembly is tangled and hard to describe, there is little theoretical research, and mathematical theory is particularly lacking currently. Based on some assumptions of the hard sphere model and Coulombic assembly experiment, this paper presents a novel multi-agent system for two-component chemical self-assembly using a group of stochastic differential equations. The existence and uniqueness theorem of the solution is also presented. A structure control problem is proposed by taking the bond-orientational order as the characteristic function of the assembled product structure, and the temperature as the control input. Our simulations show that the bond-orientational order of self-assembled product is heavily related to the final temperature, but has little relevance to the control path from the initial temperature to the final temperature.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112755"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799190","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
Efficient sum-of-squares approach to data-driven robust controller design under generalized bounded disturbances 广义有界扰动下数据驱动鲁棒控制器设计的有效平方和方法
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2026-01-07 DOI: 10.1016/j.automatica.2026.112825
Zhaoming Qin, Alireza Karimi
{"title":"Efficient sum-of-squares approach to data-driven robust controller design under generalized bounded disturbances","authors":"Zhaoming Qin,&nbsp;Alireza Karimi","doi":"10.1016/j.automatica.2026.112825","DOIUrl":"10.1016/j.automatica.2026.112825","url":null,"abstract":"<div><div>In this paper, we propose a data-driven approach to robust feedback controller design for unknown linear time-invariant (LTI) dynamic systems. Using input-state trajectories and prior knowledge of unknown-but-bounded disturbances, the objective is to synthesize a state-feedback controller that achieves robust stabilization and <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> performance while employing a common quadratic Lyapunov function. Previous works have exclusively considered bounded disturbances described by quadratic matrix inequalities (QMIs) and pointwise <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> or <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> constraints. In contrast, this paper introduces a more general framework that characterizes disturbance bounds using compact basic semi-algebraic (BSA) sets, thereby capturing both time-domain and frequency-domain properties. We cast the necessary and sufficient conditions for quadratic stabilization and <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> performance as convex sum-of-squares (SOS) optimization problems. Additionally, we propose relaxation methods to reduce computational complexity by leveraging the geometric and structural properties of the polynomials defining the BSA sets. Simulation results demonstrate the efficiency and flexibility of the proposed approach.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112825"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145939141","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
Resilient state estimation for nonlinear cyber–physical systems under probabilistic bit flips: A token bucket protocol 概率位翻转下非线性网络物理系统的弹性状态估计:一个令牌桶协议
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2026-01-10 DOI: 10.1016/j.automatica.2026.112823
Yu-Ang Wang , Zidong Wang , Lei Zou , Fan Wang , Hongli Dong
{"title":"Resilient state estimation for nonlinear cyber–physical systems under probabilistic bit flips: A token bucket protocol","authors":"Yu-Ang Wang ,&nbsp;Zidong Wang ,&nbsp;Lei Zou ,&nbsp;Fan Wang ,&nbsp;Hongli Dong","doi":"10.1016/j.automatica.2026.112823","DOIUrl":"10.1016/j.automatica.2026.112823","url":null,"abstract":"<div><div>In this paper, the problem of resilient recursive state estimation is addressed for a class of nonlinear cyber–physical systems operating under token bucket protocols and subject to probabilistic bit flips. Measurement signals are transmitted to the remote estimator only when the token storage surpasses the token consumption required for transmission. The communication process employs a binary encoding scheme, which quantizes measurement outputs into a bit string, transmits them through memoryless binary symmetric channels subject to probabilistic bit flips, and subsequently recovers them at the receiver. To achieve the desired estimation performance, a resilient state estimator is developed to mitigate the adverse effects of random perturbations in the estimator gain during implementation. The aim is to design a recursive state estimation algorithm that effectively manages the token bucket protocol, addresses probabilistic bit flips, and accommodates estimator gain perturbations. An upper bound for the estimation error covariance is derived, and the corresponding estimator gain is recursively calculated to minimize this bound. Finally, numerical simulations are conducted to validate the effectiveness of the proposed algorithm.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112823"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145939236","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
FFDL-based sampled-data adaptive PI control with uniformly bounded parameters 基于ffdl的参数一致有界的采样数据自适应PI控制
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2025-12-19 DOI: 10.1016/j.automatica.2025.112785
Hao Yu , Zhe Guan , Toru Yamamoto , Junzheng Wang
{"title":"FFDL-based sampled-data adaptive PI control with uniformly bounded parameters","authors":"Hao Yu ,&nbsp;Zhe Guan ,&nbsp;Toru Yamamoto ,&nbsp;Junzheng Wang","doi":"10.1016/j.automatica.2025.112785","DOIUrl":"10.1016/j.automatica.2025.112785","url":null,"abstract":"<div><div>This paper studies sampled-data tracking control problems for first-order nonlinear time-invariant plants. A sampled-data adaptive PI controller is developed from exact discretization and full form dynamic linearization (FFDL) methods. To ensure the uniform boundedness of adaptive PI parameters with respect to sufficiently small sampling periods, novel lifted FFDL models and cost functions are introduced for designing controllers and adaptive rules. After establishing nonlinear closed-loop dynamics, new overall Lyapunov functions containing logarithmic operation are constructed for proving global stability and convergence. An extension to locally Lipschitz dynamics is given. Finally, two numerical examples and a practical application in longitudinal speed tracking for electrical cars are simulated to illustrate the efficiency and feasibility of the proposed results.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112785"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799605","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
DoS attacks in parabolic multi-agent systems: An output feedback based event-triggered control approach 抛物型多智能体系统中的DoS攻击:基于输出反馈的事件触发控制方法
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2025-12-19 DOI: 10.1016/j.automatica.2025.112766
Yan-Jun Liu, Wenguang Zan, Li Tang
{"title":"DoS attacks in parabolic multi-agent systems: An output feedback based event-triggered control approach","authors":"Yan-Jun Liu,&nbsp;Wenguang Zan,&nbsp;Li Tang","doi":"10.1016/j.automatica.2025.112766","DOIUrl":"10.1016/j.automatica.2025.112766","url":null,"abstract":"<div><div>This study explores the event-triggered based output feedback consensus issue for multi-agent systems (MASs) under denial-of-service (DoS) attacks. All agents in the considered systems are governed by parabolic partial differential equations (PDEs). Faced with unpredictable system states and malicious attackers launching non-periodic DoS attacks, an event-triggered security control agreement for MASs is introduced and achieve consensus on any given undirected communication graph. The tolerable frequency and duration of DoS attacks are outlined in relation to the observer-based security consensus problem. By employing Lyapunov technique and mathematical inequalities, the sufficient conditions to ensure the global asymptotic stability of MASs under DoS attacks are given. Furthermore, a rigorous demonstration of the minimum dwell time between successive triggered events is furnished. Finally, simulation examples effectively validate the theoretical findings.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112766"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799650","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
Predefined-time distributed optimization for second-order multiagent systems: Zero-gradient-sum scheme 二阶多智能体系统的预定义时间分布优化:零梯度和方案
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2025-12-16 DOI: 10.1016/j.automatica.2025.112743
Tao Jiang , Yan Yan , Shuanghe Yu , Ge Guo
{"title":"Predefined-time distributed optimization for second-order multiagent systems: Zero-gradient-sum scheme","authors":"Tao Jiang ,&nbsp;Yan Yan ,&nbsp;Shuanghe Yu ,&nbsp;Ge Guo","doi":"10.1016/j.automatica.2025.112743","DOIUrl":"10.1016/j.automatica.2025.112743","url":null,"abstract":"<div><div>This paper investigates the zero-gradient-sum (ZGS) scheme, free from local minimization, to second-order multiagent systems with disturbances, achieving predefined-time distributed optimization. Therein, three time-varying functions are adopted to uniformly achieve the predefined-time convergence for agents, which is beneficial for reducing the complexity of theoretical analysis and computation. Specifically, within the sliding mode control framework, the ZGS manifold and the global optimal consensus are realized within a predefined time, which is preset by a single parameter and independent of the initial conditions. Finally, the theoretical results are validated through simulation.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112743"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145799655","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
Safety constrained digital control of nonlinear systems with state delays 具有状态延迟的非线性系统的安全约束数字控制
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2026-01-05 DOI: 10.1016/j.automatica.2025.112748
Mario Di Ferdinando , Alessandro Borri , Stefano Di Gennaro , Pierdomenico Pepe
{"title":"Safety constrained digital control of nonlinear systems with state delays","authors":"Mario Di Ferdinando ,&nbsp;Alessandro Borri ,&nbsp;Stefano Di Gennaro ,&nbsp;Pierdomenico Pepe","doi":"10.1016/j.automatica.2025.112748","DOIUrl":"10.1016/j.automatica.2025.112748","url":null,"abstract":"<div><div>In this paper, the digital event-based stabilization problem under safety constraints is studied for nonlinear systems with state delays. In particular, a methodology for the design of quantized sampled-data event-triggered safe stabilizers is provided for nonlinear systems affected by state delays. The proposed design procedure relies on the notion of Safe Steepest Descent Feedback (SSDF) which is based on the combination of Steepest Descent Feedbacks and Barrier functions. The stabilization in the sample-and-hold sense theory is used as a tool to show the existence of a suitably fast sampling and of an accurate quantization of the input/output channels such that: the digital implementation of SSDFs, updated through a proposed event-triggered mechanism, ensures the semi-global practical safe stability property of the related closed-loop system with arbitrarily small final target ball of the origin. A first order spline approximation is used to cope with the possible unavailability in the buffer of required past values of the state measurements. In the theory here developed, time-varying sampling periods and the non-uniform quantization of both input/output channels are allowed. The proposed theoretical results are validated through an application concerning the plasma glucose regulation problem in Type-2 diabetic patients via artificial pancreas.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112748"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145902328","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
Robust prognosability of discrete event systems against stealthy sensor attacks 离散事件系统对隐形传感器攻击的鲁棒预测能力
IF 5.9 2区 计算机科学
Automatica Pub Date : 2026-03-01 Epub Date: 2025-12-15 DOI: 10.1016/j.automatica.2025.112740
Tenglong Kang , Ding Liu , Zhiwu Li
{"title":"Robust prognosability of discrete event systems against stealthy sensor attacks","authors":"Tenglong Kang ,&nbsp;Ding Liu ,&nbsp;Zhiwu Li","doi":"10.1016/j.automatica.2025.112740","DOIUrl":"10.1016/j.automatica.2025.112740","url":null,"abstract":"<div><div>This paper addresses the verification of prognosability under attack in discrete event systems modeled with finite state automata. A sensor attacker is able to launch attacks on the observations sent from sensors to an operator for monitoring a system. We provide the notion of robust prognosability against attacks, which captures the features that the occurrence of any fault can still be predicted prior to its occurrence in the case of sensor attacks. To verify it, we propose a verifier under attack, from which a necessary and sufficient condition for robust prognosability verification is presented. It is shown that the verification requires polynomial time with respect to the number of states and events of a system.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"185 ","pages":"Article 112740"},"PeriodicalIF":5.9,"publicationDate":"2026-03-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145748195","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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