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Boundary output feedback stabilization for 2-D and 3-D parabolic equations
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-22 DOI: 10.1016/j.automatica.2025.112259
Hugo Lhachemi , Ionut Munteanu , Christophe Prieur
{"title":"Boundary output feedback stabilization for 2-D and 3-D parabolic equations","authors":"Hugo Lhachemi ,&nbsp;Ionut Munteanu ,&nbsp;Christophe Prieur","doi":"10.1016/j.automatica.2025.112259","DOIUrl":"10.1016/j.automatica.2025.112259","url":null,"abstract":"<div><div>The present paper addresses the topic of boundary output feedback stabilization of parabolic-type equations, governed by linear differential operators which can be diagonalized by the introduction of adequate weighting functions (by means of the Sturm–Liouville method), and which evolve in bounded spatial domains that are subsets of <span><math><mrow><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup><mo>,</mo><mspace></mspace><mi>d</mi><mo>=</mo><mn>2</mn><mo>,</mo><mn>3</mn></mrow></math></span>. Generalizing previous works for the boundary output feedback control of 1-D parabolic PDEs and for the state feedback control of multi-D parabolic PDEs, we report in this paper an output feedback boundary stabilizing control with internal Dirichlet measurements designed by means of a finite-dimensional observer. The reported control design procedure is shown to be systematic for 2-D and 3-D parabolic equations.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112259"},"PeriodicalIF":4.8,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143683005","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":2,"RegionCategory":"计算机科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mean field hierarchical control for production output adjustment with noisy sticky prices
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-22 DOI: 10.1016/j.automatica.2025.112260
Bing-Chang Wang
{"title":"Mean field hierarchical control for production output adjustment with noisy sticky prices","authors":"Bing-Chang Wang","doi":"10.1016/j.automatica.2025.112260","DOIUrl":"10.1016/j.automatica.2025.112260","url":null,"abstract":"<div><div>This paper is concerned with the hierarchical decentralized solution to mean field production output adjustment. We first introduce a mean field output adjustment model for many firms in a market, where the price is sticky and regulated by a government. Under a given policy of the regulator, we first tackle a centralized game problem, and obtain a system of coupled forward–backward stochastic differential equations (FBSDEs). By decoupling the high-dimensional FBSDEs, a Nash equilibrium strategy is designed for competitive firms. After applying firms’ strategies, we construct a decentralized strategy of the regulator by solving an optimal control problem driven by FBSDEs. By perturbation analysis, the proposed decentralized strategy is shown to be an <span><math><mi>ɛ</mi></math></span>-Stackelberg equilibrium.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112260"},"PeriodicalIF":4.8,"publicationDate":"2025-03-22","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143683006","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
Hybrid formation control for heterogeneous uncertain linear two-time-scale systems
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-21 DOI: 10.1016/j.automatica.2025.112267
Yan Lei , Zheng Wang , Xin Wang , Hongyi Li , Irinel-Constantin Morărescu
{"title":"Hybrid formation control for heterogeneous uncertain linear two-time-scale systems","authors":"Yan Lei ,&nbsp;Zheng Wang ,&nbsp;Xin Wang ,&nbsp;Hongyi Li ,&nbsp;Irinel-Constantin Morărescu","doi":"10.1016/j.automatica.2025.112267","DOIUrl":"10.1016/j.automatica.2025.112267","url":null,"abstract":"<div><div>This paper investigates time-varying output formation of interconnected heterogeneous linear two-time-scale systems with model uncertainty. Unlike previous works on the cooperation of interconnected two-time-scale systems, we consider nonidentical dynamics for each agent that may be characterized by different dimensions and time-scaling factors. Additionally, the systems are interconnected through a switching graph with a disconnected topology, rendering more challenging the analysis and the controller design. To address these challenges, a hybrid two-layer hierarchical control protocol is proposed. The upper layer utilizes an impulsive cooperative control strategy to generate local references, enabling discrete-time interactions among agents and thereby reducing the communication burden. The lower layer implements an internal model-based controller for the two-time-scale dynamics to track the generated references, demonstrating robustness against small model uncertainties. Closed-loop analysis is based on input-to-state stability (ISS) results for hybrid systems. Furthermore, the obtained result is extended to achieve the output consensus. Finally, two examples are presented to illustrate the effectiveness of the results.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112267"},"PeriodicalIF":4.8,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143683009","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
Output-feedback event-triggered boundary control of reaction–diffusion PDEs with delayed actuator
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-21 DOI: 10.1016/j.automatica.2025.112266
Hongpeng Yuan, Ji Wang, Jianping Zeng, Weiyao Lan
{"title":"Output-feedback event-triggered boundary control of reaction–diffusion PDEs with delayed actuator","authors":"Hongpeng Yuan,&nbsp;Ji Wang,&nbsp;Jianping Zeng,&nbsp;Weiyao Lan","doi":"10.1016/j.automatica.2025.112266","DOIUrl":"10.1016/j.automatica.2025.112266","url":null,"abstract":"<div><div>We present an output-feedback event-triggered delay-compensated boundary control scheme for a class of reaction–diffusion PDEs under a delayed actuator, where an arbitrarily long time delay exists between the PDE plant and the ODE actuator. After treating the time delay as a transport PDE, the overall plant configuration becomes ODE-PDE-PDE. Combining the PDE and ODE backstepping designs, a three-step backstepping transformation is proposed to build the continuous-in-time control law. A PDE observer is designed to track the PDE states required in the control law using a boundary measurement. Then, a dynamic event-triggering mechanism is designed, based on the evaluation of the overall ODE-PDE-PDE system, to determine the updating times of the control signal. In the resulting output-feedback event-based closed-loop system, a strictly positive lower bound of the minimal dwell time is found, which is independent of initial conditions. As a result, the absence of a Zeno behavior is guaranteed. Besides, exponential convergence to zero of all signals is proved via Lyapunov analysis, including the <span><math><msup><mrow><mi>H</mi></mrow><mrow><mn>1</mn></mrow></msup></math></span> norm of the transport PDE state, the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> norm of the reaction–diffusion PDE and observer states, the actuator states, the internal dynamic variable in the event-triggering mechanism, as well as the control input. The effectiveness of the proposed method is illustrated by numerical simulation.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112266"},"PeriodicalIF":4.8,"publicationDate":"2025-03-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143683004","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 contact Hamiltonian functions of conservative contact systems
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-20 DOI: 10.1016/j.automatica.2025.112251
N. Ha Hoang , Denis Dochain
{"title":"On the contact Hamiltonian functions of conservative contact systems","authors":"N. Ha Hoang ,&nbsp;Denis Dochain","doi":"10.1016/j.automatica.2025.112251","DOIUrl":"10.1016/j.automatica.2025.112251","url":null,"abstract":"<div><div>The dynamics of irreversible thermodynamic systems have been expressed in terms of conservative contact systems where contact vector fields are generated by contact Hamiltonian functions defined on the Thermodynamic Phase Space (TPS). In this paper, we first emphasize the importance of both the Gibbs relation and the Gibbs–Duhem relation of the entropy or energy contact form in developing a first-order invariance constraint that every contact Hamiltonian function must satisfy. This novel insight is then considered together with the zero-order invariance constraint to infer solutions, thereby yielding a generalized family of contact Hamiltonian functions generating <em>non-strict</em> or <em>strict</em> contact vector fields which are equal on the associated Legendre submanifold on which the dynamics of the thermodynamic system is living. Finally, we show sufficient conditions under which the inverse images of zero by the contact Hamiltonian functions or the Legendre submanifold are <em>globally attractive</em> when lifting the system dynamics to the complete TPS. A simulated example is given to support the theoretical developments and to discuss the difference of the dynamic behaviours between the generated strict and non-strict contact vector fields.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112251"},"PeriodicalIF":4.8,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143683074","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
Cooperative spheroidal coverage control of multi-agent systems in 3D non-convex environments
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-20 DOI: 10.1016/j.automatica.2025.112269
Jiayu Zou , Hai-Tao Zhang , Ning Xing , Xingjian Liu
{"title":"Cooperative spheroidal coverage control of multi-agent systems in 3D non-convex environments","authors":"Jiayu Zou ,&nbsp;Hai-Tao Zhang ,&nbsp;Ning Xing ,&nbsp;Xingjian Liu","doi":"10.1016/j.automatica.2025.112269","DOIUrl":"10.1016/j.automatica.2025.112269","url":null,"abstract":"<div><div>The optimal configuration of multi-agent systems (MASs) has long been a challenging task to fulfill abundant three-dimensional (3D) non-convex coverage operations. This brief proposes a spheroidal coverage control scheme, where a spheroidal partition protocol is designed with a distributed estimator to ensure an equitable workload in each sub-region. Afterwards, a distributed control law is developed to asymptotically deploy each agent to the associated optimal configuration. Significantly, the analytical challenge of the present design lies in the convergence analysis of the three-level cascading systems induced by the proposed spheroidal partition protocol. Finally, numerical simulation is conducted to verify the effectiveness of the present spheroidal coverage control method.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112269"},"PeriodicalIF":4.8,"publicationDate":"2025-03-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143683008","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
Controlling the occurrence sequence of reaction modules through biochemical relaxation oscillators
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-19 DOI: 10.1016/j.automatica.2025.112261
Xiaopeng Shi , Chuanhou Gao , Denis Dochain
{"title":"Controlling the occurrence sequence of reaction modules through biochemical relaxation oscillators","authors":"Xiaopeng Shi ,&nbsp;Chuanhou Gao ,&nbsp;Denis Dochain","doi":"10.1016/j.automatica.2025.112261","DOIUrl":"10.1016/j.automatica.2025.112261","url":null,"abstract":"<div><div>Embedding sequential computations in biochemical environments is challenging because the computations are carried out through chemical reactions, which are inherently disordered. In this paper we apply modular design to specific calculations through chemical reactions and provide a design scheme of biochemical oscillator models in order to generate periodical species for the order regulation of these reaction modules. We take the case of arbitrary multi-module regulation into consideration, analyze the main errors in the regulation process under <em>mass-action kinetics</em> and illustrate our design scheme under existing synthetic biochemical oscillator models.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112261"},"PeriodicalIF":4.8,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143643154","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 and efficient safeguard mechanism design for deploying untrusted linear controllers
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-19 DOI: 10.1016/j.automatica.2025.112262
Yiwen Lu, Yilin Mo
{"title":"Resilient and efficient safeguard mechanism design for deploying untrusted linear controllers","authors":"Yiwen Lu,&nbsp;Yilin Mo","doi":"10.1016/j.automatica.2025.112262","DOIUrl":"10.1016/j.automatica.2025.112262","url":null,"abstract":"<div><div>Deployment of untrusted controllers is challenging. Such an untrusted controller may be provided by a malicious third party, who claims to deliver optimal control performance but actually attempts to exploit the system. Alternatively, untrusted controllers arising from benign factors such as inaccurate modeling or human error may also destabilize the system and cause security breaches. The system operator, with limited access to the knowledge of the system, may not be able to verify the untrusted controllers offline. To mitigate this risk, we propose a “plug-and-play” modification to the untrusted controller with minimal requirement on system knowledge, which switches to a known stabilizing controller when the norm of the difference between the untrusted and fallback control inputs exceeds a certain threshold. We show that for linear stochastic systems, this safeguard mechanism is both resilient and efficient, in the sense that: 1) the linear–quadratic cost of the system is always bounded even if the original untrusted controller is destabilizing; 2) in case the untrusted controller is stabilizing, the performance loss caused by the safeguard converges super-exponentially to 0 for Gaussian noise, while converging polynomially for general heavy-tailed noise. Finally, we demonstrate the effectiveness of the proposed safeguard strategy via numerical simulation on the Tennessee Eastman Process.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112262"},"PeriodicalIF":4.8,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143643073","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
Extremum seeking nonlinear regulator with concurrent uncertainties in exosystems and control directions
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-19 DOI: 10.1016/j.automatica.2025.112254
Shimin Wang , Martin Guay , Dabo Xu , Denis Dochain
{"title":"Extremum seeking nonlinear regulator with concurrent uncertainties in exosystems and control directions","authors":"Shimin Wang ,&nbsp;Martin Guay ,&nbsp;Dabo Xu ,&nbsp;Denis Dochain","doi":"10.1016/j.automatica.2025.112254","DOIUrl":"10.1016/j.automatica.2025.112254","url":null,"abstract":"<div><div>This paper proposes a non-adaptive control solution framework to the practical output regulation problem (PORP) for a class of nonlinear systems with uncertain parameters, unknown control directions and uncertain exosystem dynamics. The concurrence of the unknown control directions and uncertainties in both the system dynamics and the exosystem pose a significant challenge to the problem. In light of a nonlinear internal model approach, we first convert the robust PORP into a robust non-adaptive stabilization problem for the augmented system with integral Input-to-State Stable (iISS) inverse dynamics. By employing an extremum-seeking control (ESC) approach, the construction of our solution method avoids the use of Nussbaum-type gain techniques to address the robust PORP subject to unknown control directions with time-varying coefficients. The stability of the non-adaptive output regulation design is proven via a Lie bracket averaging technique where uniform ultimate boundedness of the closed-loop signals is guaranteed. As a result, the practical output regulation problem can be solved using the proposed non-adaptive and non-Nussbaum-type framework. Moreover, both the estimation and tracking errors uniformly asymptotically converge to zero, provided that the frequency of the dither signal goes to infinity. Finally, a simulation example with unknown coefficients is provided to exemplify the validity of the proposed control solution frameworks.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112254"},"PeriodicalIF":4.8,"publicationDate":"2025-03-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143682975","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
Worst-case performance of Kalman filtering against cyber-attacks with true and contaminated information
IF 4.8 2区 计算机科学
Automatica Pub Date : 2025-03-18 DOI: 10.1016/j.automatica.2025.112257
Yake Yang , Zhi Li , Xudong Zhao , Yuzhe Li
{"title":"Worst-case performance of Kalman filtering against cyber-attacks with true and contaminated information","authors":"Yake Yang ,&nbsp;Zhi Li ,&nbsp;Xudong Zhao ,&nbsp;Yuzhe Li","doi":"10.1016/j.automatica.2025.112257","DOIUrl":"10.1016/j.automatica.2025.112257","url":null,"abstract":"<div><div>In this work, we study the worst-case performance of Kalman filtering under the attacks in the framework of multi-sensor with and without safe sensors. The specific setup is that a remote estimator with <span><math><msup><mrow><mi>χ</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> detectors performs the state estimation based on data transmitted from a group of sensors via a wireless network. The transmitted data may be modified by an adversary. The previous literature mainly investigates potential impacts of several feasible stealthy integrity attacks on remote estimator in the multi-sensor setup instead of the worst-case estimation performance. It should be pointed out that the analysis of the worst-case performance of remote estimator under the attacks can provide a reference for operators to identify the vulnerability of systems and decide whether corresponding defensive measures need to be executed. Hence, such analyses play an importance role in ensuring system security. In this work, a cyber-attack pattern utilizing true and contaminated information from all sensors is developed. The worst-case estimation performance and corresponding strictly stealthy attack policies in closed-form are provided. Finally, a numerical example is given to verify the effectiveness of the given results.</div></div>","PeriodicalId":55413,"journal":{"name":"Automatica","volume":"176 ","pages":"Article 112257"},"PeriodicalIF":4.8,"publicationDate":"2025-03-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143642214","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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