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Evolution of measures in nonsmooth dynamical systems: Formalisms and computation 非光滑动力系统中测度的演化:形式和计算
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-06-07 DOI: 10.1016/j.automatica.2025.112402
Saroj Prasad Chhatoi , Aneel Tanwani , Didier Henrion
{"title":"Evolution of measures in nonsmooth dynamical systems: Formalisms and computation","authors":"Saroj Prasad Chhatoi ,&nbsp;Aneel Tanwani ,&nbsp;Didier Henrion","doi":"10.1016/j.automatica.2025.112402","DOIUrl":"10.1016/j.automatica.2025.112402","url":null,"abstract":"<div><div>This article develops mathematical formalisms and provides numerical methods for studying the evolution of measures in nonsmooth dynamical systems using the continuity equation. The nonsmooth dynamical system is described by an evolution variational inequality and we derive the continuity equation associated with this system class using three different formalisms. The first formalism consists of using the superposition principle to describe the continuity equation for a measure that disintegrates into a probability measure supported on the set of vector fields and another measure representing the distribution of system trajectories at each time instant. The second formalism is based on the regularization of the nonsmooth vector field and describing the measure as the limit of a sequence of measures associated with the regularization parameter. In doing so, we obtain quantitative bounds on the Wasserstein metric between measure solutions of the regularized vector field and the limiting measure associated with the nonsmooth vector field. The third formalism uses a time-stepping algorithm to model a time-discretized evolution of the measures and show that the absolutely continuous trajectories associated with the continuity equation are recovered in the limit as the sampling time goes to zero. We also validate each formalism with numerical examples. For the first formalism, we use polynomial optimization techniques and the moment-SOS hierarchy to obtain approximate moments of the measures. For the second formalism, we illustrate the bounds on the Wasserstein metric for an academic example for which the closed-form expression of the Wasserstein metric can be calculated. For the third formalism, we illustrate the time-stepping based algorithm for measure evolution on an example that shows the effect of the concentration of measures.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112402"},"PeriodicalIF":4.8,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144229800","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
Scale-free distributed control for the DC MG cluster under DoS attacks: An asynchronous switched strategy DoS攻击下数据中心MG集群的无标度分布式控制:异步切换策略
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-06-07 DOI: 10.1016/j.automatica.2025.112400
Fabin Cheng, Jingang Lai
{"title":"Scale-free distributed control for the DC MG cluster under DoS attacks: An asynchronous switched strategy","authors":"Fabin Cheng,&nbsp;Jingang Lai","doi":"10.1016/j.automatica.2025.112400","DOIUrl":"10.1016/j.automatica.2025.112400","url":null,"abstract":"<div><div>This paper studies the voltage restoration problem of the DC Microgrid (MG) cluster with a two-layer communication structure under Denial-of-Service (DoS) attacks. Based on the open multiagent framework, an asynchronous switching strategy is designed to suppress the impact of DoS attacks on the entire MG cluster’s voltage restoration. Meanwhile, we derived the relationship between attack model parameters and communication link switching mode selection through the general model of DoS attacks and asynchronous switching methods based on average dwell time. Moreover, the designed distributed control protocol is scale-free; that is, it does not rely on any information from the two-layer communication structure and the number of distributed generations (DGs), which makes it universal. Through rigorous theoretical proof, it has been proven that in the DC MG cluster with two-layer communication structures, voltage restoration can be achieved regardless of the number and structure of DGs being attacked. Finally, two simulation examples on the MATLAB/SimPowerSystem, including a DC MG cluster consisting of 8 DGs and an IEEE 33-node system are used to investigate the scalability and flexibility of the proposed distributed control algorithm.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112400"},"PeriodicalIF":4.8,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144229801","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
Simulation-based approach for fast optimal control of a Stefan problem with application to cell therapy 基于仿真的Stefan问题快速最优控制方法及其在细胞治疗中的应用
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-06-07 DOI: 10.1016/j.automatica.2025.112398
Prakitr Srisuma, George Barbastathis, Richard D. Braatz
{"title":"Simulation-based approach for fast optimal control of a Stefan problem with application to cell therapy","authors":"Prakitr Srisuma,&nbsp;George Barbastathis,&nbsp;Richard D. Braatz","doi":"10.1016/j.automatica.2025.112398","DOIUrl":"10.1016/j.automatica.2025.112398","url":null,"abstract":"<div><div>This article describes a new, efficient way of finding control and state trajectories in optimal control problems by reformulation as a system of differential–algebraic equations (DAEs). The optimal control and state vectors can be obtained via simulation of the resulting DAE system with the selected DAE solver, eliminating the need for an optimization solver. Our simulation-based approach is demonstrated and benchmarked against various optimization-based algorithms via four case studies associated with the optimization and control of a Stefan problem for cell therapy. The simulation-based approach is faster than every optimization-based method by more than an order of magnitude while giving similar/better accuracy in all cases. The solution obtained from the simulation-based approach is guaranteed to be optimal provided that at least one constraint or algebraic equation resulting from the reformulation remains active at all times. The proposed technique offers an efficient and reliable framework for optimal control, serving as a promising alternative to the traditional techniques in applications where speed is crucial, e.g., real-time online model predictive control.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112398"},"PeriodicalIF":4.8,"publicationDate":"2025-06-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144229911","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
Data-driven control against false data injection attacks 数据驱动控制,防止虚假数据注入攻击
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-06-04 DOI: 10.1016/j.automatica.2025.112399
Wenjie Liu , Lidong Li , Jian Sun , Fang Deng , Gang Wang , Jie Chen
{"title":"Data-driven control against false data injection attacks","authors":"Wenjie Liu ,&nbsp;Lidong Li ,&nbsp;Jian Sun ,&nbsp;Fang Deng ,&nbsp;Gang Wang ,&nbsp;Jie Chen","doi":"10.1016/j.automatica.2025.112399","DOIUrl":"10.1016/j.automatica.2025.112399","url":null,"abstract":"<div><div>The rise of cyber-security concerns has brought significant attention to the analysis and design of cyber–physical systems (CPSs). Among the various types of cyberattacks, denial-of-service (DoS) attacks and false data injection (FDI) attacks can be easily launched and have become prominent threats. While resilient control against DoS attacks has received substantial research efforts, countermeasures developed against FDI attacks have been relatively limited, particularly when explicit system models are not available. To address this gap, the present paper focuses on the design of data-driven controllers for unknown linear systems subject to FDI attacks on the actuators, utilizing input-state data. To this end, a general FDI attack model is presented, which imposes minimally constraints on the switching frequency of attack channels and the magnitude of attack matrices. A dynamic state feedback control law is designed based on offline and online input-state data, which adapts to the channel switching of FDI attacks. This is achieved by solving two data-based semi-definite programs (SDPs) on-the-fly to yield a tight approximation of the set of subsystems consistent with both offline clean data and online attack-corrupted data. It is shown that under mild conditions on the attack, the proposed SDPs are recursively feasible and controller achieves exponential stability. Numerical examples showcase its effectiveness in mitigating the impact of FDI attacks.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112399"},"PeriodicalIF":4.8,"publicationDate":"2025-06-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144203400","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 optimization of large-scale parametrized dynamical systems 大规模参数化动力系统的随机优化
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-06-03 DOI: 10.1016/j.automatica.2025.112388
Pascal den Boef, Jos Maubach, Wil Schilders, Nathan van de Wouw
{"title":"Stochastic optimization of large-scale parametrized dynamical systems","authors":"Pascal den Boef,&nbsp;Jos Maubach,&nbsp;Wil Schilders,&nbsp;Nathan van de Wouw","doi":"10.1016/j.automatica.2025.112388","DOIUrl":"10.1016/j.automatica.2025.112388","url":null,"abstract":"<div><div>Many problems in systems and control, such as controller synthesis and observer design, can be viewed as optimization problems involving dynamical systems: For instance, maximizing closed-loop performance in the controller synthesis setting. When the system includes large-scale, sparse state–space models, the optimization becomes computationally challenging. Existing methods in literature lack computational scalability or only solve an approximate version of the problem. We propose a method to locally minimize the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> norm of a differentiable parametrized dynamical system that resolves these issues. We do this by estimating the gradient of the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> norm using samples of the frequency response function, which can be obtained efficiently for large-scale, sparse state–space models. We prove that the scheme is guaranteed to preserve stability with high probability under boundedness conditions on the step size used in the optimization. We also obtain probabilistic guarantees that our method converges to a local minimizer. The method is applicable to problems involving non-realizable or infinite-dimensional dynamics. We demonstrate the effectiveness of the approach on two numerical examples.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112388"},"PeriodicalIF":4.8,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144203404","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
Optimal trajectory planning meets network-level routing: Integrated control framework for emerging mobility systems 最优轨迹规划满足网络级路由:新兴移动系统的集成控制框架
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-06-03 DOI: 10.1016/j.automatica.2025.112389
Heeseung Bang, Andreas A. Malikopoulos
{"title":"Optimal trajectory planning meets network-level routing: Integrated control framework for emerging mobility systems","authors":"Heeseung Bang,&nbsp;Andreas A. Malikopoulos","doi":"10.1016/j.automatica.2025.112389","DOIUrl":"10.1016/j.automatica.2025.112389","url":null,"abstract":"<div><div>This paper introduces a hierarchical decision-making framework for emerging mobility systems that integrates network-level routing with vehicle-level coordination and control. We present an approach that combines flow-based routing for autonomous mobility-on-demand systems with energy-optimal trajectory planning for connected and automated vehicles (CAVs). Our method addresses the critical gap between macroscopic traffic flow optimization and microscopic vehicle control, ensuring that individually planned CAV trajectories collectively realize the system-optimal flow. For the trajectory planning problem, we propose an efficient method of utilizing analytical solutions to solve constrained optimization problems without computational burden. The proposed framework is demonstrated through numerical simulations in urban network scenarios with 100% CAV penetration. Our results illustrate the framework’s ability to generate and implement optimal traffic flows while satisfying safety constraints at the vehicle level.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112389"},"PeriodicalIF":4.8,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144203405","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
An approximate policy iteration viewpoint of actor–critic algorithms 行动者-批评家算法的近似策略迭代观点
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-06-03 DOI: 10.1016/j.automatica.2025.112395
Zaiwei Chen , Siva Theja Maguluri
{"title":"An approximate policy iteration viewpoint of actor–critic algorithms","authors":"Zaiwei Chen ,&nbsp;Siva Theja Maguluri","doi":"10.1016/j.automatica.2025.112395","DOIUrl":"10.1016/j.automatica.2025.112395","url":null,"abstract":"<div><div>In this work, we establish sample complexity guarantees for a broad class of policy-space algorithms for reinforcement learning. A policy-space algorithm comprises an actor for policy improvement and a critic for policy evaluation. For the actor, we analyze update rules such as softmax, <span><math><mi>ϵ</mi></math></span>-greedy, and the celebrated natural policy gradient (NPG). Unlike traditional gradient-based analyses, we view NPG as an approximate policy iteration method. This perspective allows us to leverage the Bellman operator’s properties to show that NPG (without regularization) achieves geometric convergence to a globally optimal policy with increasing stepsizes. For the critic, we study TD-learning with linear function approximation and off-policy sampling. To address the instability of TD-learning in this setting, we propose a stable framework using multi-step returns and generalized importance sampling factors, including two specific algorithms: <span><math><mi>λ</mi></math></span>-averaged <span><math><mi>Q</mi></math></span>-trace and two-sided <span><math><mi>Q</mi></math></span>-trace. We also provide a finite-sample analysis for the critic. Combining the geometric convergence of the actor with the finite-sample results of the critic, we establish for the first time an overall sample complexity of <span><math><mrow><mover><mrow><mi>O</mi></mrow><mrow><mo>̃</mo></mrow></mover><mrow><mo>(</mo><msup><mrow><mi>ϵ</mi></mrow><mrow><mo>−</mo><mn>2</mn></mrow></msup><mo>)</mo></mrow></mrow></math></span> for finding an optimal policy (up to a function approximation error) using policy-space methods under off-policy sampling and linear function approximation.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112395"},"PeriodicalIF":4.8,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144195767","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 mean-nonovershooting control of stochastic nonlinear multi-agent systems 随机非线性多智能体系统的分布均值-非超调控制
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-06-03 DOI: 10.1016/j.automatica.2025.112397
Wuquan Li , Hui Wang , Lu Liu , Gang Feng
{"title":"Distributed mean-nonovershooting control of stochastic nonlinear multi-agent systems","authors":"Wuquan Li ,&nbsp;Hui Wang ,&nbsp;Lu Liu ,&nbsp;Gang Feng","doi":"10.1016/j.automatica.2025.112397","DOIUrl":"10.1016/j.automatica.2025.112397","url":null,"abstract":"<div><div>For stochastic nonlinear multi-agent systems in strict-feedback form, we propose a novel distributed mean-nonovershooting control design under directed leader–followers type network topology. Compared with the existing stochastic distributed tracking control designs, the advantage of our design is that the leader’s output can be tracked by the followers’ outputs without any overshooting. Specifically, we first design new distributed controllers to ensure that the fourth-moment of the output tracking errors between the followers and the leader can be tuned arbitrarily small in the long run while all the states of the closed-loop system remain bounded in probability. Then we prove that the mean of the followers’ outputs can asymptotically track the leader’s output without overshooting if the initial values of the followers’ outputs are suitably selected. Finally, a simulation example is given to illustrate the distributed mean-nonovershooting control design.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112397"},"PeriodicalIF":4.8,"publicationDate":"2025-06-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144203401","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
On the relationship between stochastic and deterministic energy shaping techniques for stochastic port-Hamiltonian systems via invariant measure characterization 基于不变测度表征的随机端口-哈密顿系统随机与确定性能量整形技术之间的关系
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-05-30 DOI: 10.1016/j.automatica.2025.112385
Francesco Giuseppe Cordoni , Luca Di Persio , Riccardo Muradore
{"title":"On the relationship between stochastic and deterministic energy shaping techniques for stochastic port-Hamiltonian systems via invariant measure characterization","authors":"Francesco Giuseppe Cordoni ,&nbsp;Luca Di Persio ,&nbsp;Riccardo Muradore","doi":"10.1016/j.automatica.2025.112385","DOIUrl":"10.1016/j.automatica.2025.112385","url":null,"abstract":"<div><div>This paper derives two relevant results in the context of weak energy shaping for stochastic port-Hamiltonian systems (SPHS). Energy shaping is a technique systematically used to design feedback laws that shape the Hamiltonian of a controlled system to converge to a desired configuration under a general passivity condition. Such an approach has been recently extended to SPHS, but the resulting theory has limitations excluding relevant examples such as the additive noise case. However, it has been shown that the invariant measure of the SPHS allows the introduction of a weaker notion of convergence, hence obtaining a significant extension of the classical energy shaping theory for SPHS. In this paper, we continue investigating the weak energy shaping of SPHS, showing that the Fokker–Planck equation associated with an SPHS can be seen as the Fokker–Planck equation of an infinite-dimensional deterministic PHS. Moreover, we explicitly compute the invariant measure for a specific class of SPHS with additive noise.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112385"},"PeriodicalIF":4.8,"publicationDate":"2025-05-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144167183","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
Dissipativity-based security control for switched systems with encryption/decryption under switching-Q-learning-based replay-attack detection 基于交换q -学习的重放攻击检测下带加密/解密的交换系统的耗散安全控制
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-05-29 DOI: 10.1016/j.automatica.2025.112396
Lili Li , Jia Zhao , Dan Ma , Yalin Chen
{"title":"Dissipativity-based security control for switched systems with encryption/decryption under switching-Q-learning-based replay-attack detection","authors":"Lili Li ,&nbsp;Jia Zhao ,&nbsp;Dan Ma ,&nbsp;Yalin Chen","doi":"10.1016/j.automatica.2025.112396","DOIUrl":"10.1016/j.automatica.2025.112396","url":null,"abstract":"<div><div>Since fixed alarm thresholds fail to distinguish whether fluctuations in switched systems (SSs) are due to replay attacks (RAs) or normal switching behaviors, we propose a security control scheme. We first develop a switching-<span><math><mi>Q</mi></math></span>-learning-based RA-detection method with time-varying encryption/decryption functions to learn a alarm threshold for identifying the causes of state fluctuations in SSs. Second, an RA-detection-based event-triggered mechanism is proposed, with data transmission arranged to shorten the asynchronous duration according to RA-detection results and the dissipativity level of SSs. Additionally, the cross supply rate and supply rate elucidate the impact of active and inactive subsystems on the energy dynamics of SSs under actual switching or RAs. Third, the RA-detection-based switching rule utilizes system state estimation alongside RA-detection results to address the issue of consecutive asynchronous switching caused by RAs. Finally, the security control scheme of SSs under the RA-detection is verified by studying collaborative dynamic positioning control for three unmanned surface vessels.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"179 ","pages":"Article 112396"},"PeriodicalIF":4.8,"publicationDate":"2025-05-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144167187","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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