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Riccati equations and LQ-optimal control for a class of hyperbolic PDEs 一类双曲偏微分方程的Riccati方程和lq -最优控制
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-09-22 DOI: 10.1016/j.sysconle.2025.106244
Anthony Hastir , Birgit Jacob , Hans Zwart
{"title":"Riccati equations and LQ-optimal control for a class of hyperbolic PDEs","authors":"Anthony Hastir ,&nbsp;Birgit Jacob ,&nbsp;Hans Zwart","doi":"10.1016/j.sysconle.2025.106244","DOIUrl":"10.1016/j.sysconle.2025.106244","url":null,"abstract":"<div><div>We derive an explicit solution to the operator Riccati equation solving the Linear–Quadratic (LQ) optimal control problem for a class of boundary controlled hyperbolic partial differential equations (PDEs) defined on a one-dimensional spatial domain. Different descriptions of the system are used to obtain different representations of the operator Riccati equation. By means of an example, we illustrate the importance of considering an extended operator Riccati equation to solve the LQ-optimal control problem for our class of systems.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106244"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145109175","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
Leak detection, size estimation and localization in tree-shaped pipe flow networks 树形管网泄漏检测、尺寸估计与定位
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-10-04 DOI: 10.1016/j.sysconle.2025.106255
Nils Christian Aars Wilhelmsen, Ole Morten Aamo
{"title":"Leak detection, size estimation and localization in tree-shaped pipe flow networks","authors":"Nils Christian Aars Wilhelmsen,&nbsp;Ole Morten Aamo","doi":"10.1016/j.sysconle.2025.106255","DOIUrl":"10.1016/j.sysconle.2025.106255","url":null,"abstract":"<div><div>A novel distributed parameter systems approach for detecting and diagnosing leaks in any tree-shaped pipe flow network is provided, requiring only pressure and flow sensors at the network inlet and outlet boundaries. Modelling the pressure and flow transients in the network via linearized transmission line PDEs (partial differential equations), it is shown how the network may be represented by an interconnection (cascade) of systems of linear hyperbolic PDEs, with a depth determined by the network topological radius and width the number of network inlets and outlets. Information about leaks in the network is summarized in a structured way in an unknown additive vector parameter entering the distal boundary of the last PDE system. It is shown how the leak parameter may be used to compute the total amount leaking from the network regardless of how leaks are distributed in the network, and in the event of point leaks entering the network sequentially, pinpoint the location of the leaks in the network. Two methods are provided to estimate the leak parameter: (1) An algebraic calculation for when the system is in steady-state and (2) an adaptive boundary observer for the interconnected system of PDEs with asymptotic convergence guarantees for transient dynamics. A simulation example is provided to demonstrate the leak detection method with transient data.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106255"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220779","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
Delay-tolerant augmented-consensus-based distributed directed optimization 基于延迟容忍增强共识的分布式定向优化
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-10-08 DOI: 10.1016/j.sysconle.2025.106260
Mohammadreza Doostmohammadian , Narahari Kasagatta Ramesh , Alireza Aghasi
{"title":"Delay-tolerant augmented-consensus-based distributed directed optimization","authors":"Mohammadreza Doostmohammadian ,&nbsp;Narahari Kasagatta Ramesh ,&nbsp;Alireza Aghasi","doi":"10.1016/j.sysconle.2025.106260","DOIUrl":"10.1016/j.sysconle.2025.106260","url":null,"abstract":"<div><div>Distributed optimization finds applications in large-scale machine learning, data processing and classification over multi-agent networks. In real-world scenarios, the communication network of agents may encounter latency that may affect the convergence of the optimization protocol. This paper addresses the case where the information exchange among the agents (computing nodes) over data-transmission channels (links) might be subject to communication time-delays, which is not well addressed in the existing literature. Our proposed algorithm improves the state-of-the-art by handling heterogeneous and arbitrary but bounded and fixed (time-invariant) delays over general strongly-connected directed networks. Arguments from matrix theory, algebraic graph theory, and augmented consensus formulation are applied to prove the convergence to the optimal value. Simulations are provided to verify the results and compare the performance with some existing delay-free algorithms.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106260"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145267881","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
Output feedback consensus control of continuous multi agent systems under fading networks and its application in vehicle platooning 衰落网络下连续多智能体系统的输出反馈一致控制及其在车辆队列中的应用
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-10-07 DOI: 10.1016/j.sysconle.2025.106257
Jin Zhang , Lifang Liao
{"title":"Output feedback consensus control of continuous multi agent systems under fading networks and its application in vehicle platooning","authors":"Jin Zhang ,&nbsp;Lifang Liao","doi":"10.1016/j.sysconle.2025.106257","DOIUrl":"10.1016/j.sysconle.2025.106257","url":null,"abstract":"<div><div>This paper focuses on fading communication channels, which describe the phenomenon of communication packet loss. It investigates the impact of fading networks on achieving output feedback consensus in multi-agent systems (MASs). First, for identical fading networks, we establish the mean-square stability (MSS) of a dual result through state transformation and provide conditions for MASs to achieve mean-square consensus in both undirected information flow (UIF) and balanced directed information flow (BDIF) topologies, utilizing the Schur complement lemma and Lyapunov methods. These conditions are closely related to the fading statistics and the information flow topology (IFT). Next, for non-identical fading networks, under state feedback, we employ the edge Laplacian operator and construct agent dynamic models on the edges, providing analytical sufficient conditions for the system’s MSS. These conditions can be numerically verified via linear matrix inequality (LMI) feasibility. Moreover, separate design algorithms for output feedback and state feedback controllers are provided, derived from feasible solutions to modified Riccati inequalities (MRIs). These algorithms can directly utilize IFT and channel fading statistics for parameter calculation, making them easy to implement. Finally, the theory is applied to a real-world vehicle platoon coordinated control problem, and simulation results comparing theoretical and practical models are presented to validate its effectiveness and applicability. Results indicate that even in the presence of fading, the designed control strategies can ensure the vehicle platoon maintains its desired speed and longitudinal spacing.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106257"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145267880","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
Prescribed-time stabilization of p-normal nonlinear systems by periodic delayed feedback p-正规非线性系统的周期延迟反馈定时镇定
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-10-10 DOI: 10.1016/j.sysconle.2025.106261
Yi Ding , Bin Zhou , Wim Michiels
{"title":"Prescribed-time stabilization of p-normal nonlinear systems by periodic delayed feedback","authors":"Yi Ding ,&nbsp;Bin Zhou ,&nbsp;Wim Michiels","doi":"10.1016/j.sysconle.2025.106261","DOIUrl":"10.1016/j.sysconle.2025.106261","url":null,"abstract":"<div><div>In this paper, the problem of prescribed-time stabilization of <span><math><mi>p</mi></math></span>-normal nonlinear systems is investigated. A novel periodic delayed feedback control law, parameterized directly by the prescribed time, is designed for a class of uncertain <span><math><mi>p</mi></math></span>-normal nonlinear systems. With the artificial inclusion of a time delay term in the controller, the proposed control law effectively addresses the considered problem using a uniformly bounded control gain. Notably, the proposed control law has a clear definition at any given time, thus circumventing the inherent singularity associated with time-varying high-gain feedback. Moreover, two numerical examples are provided to demonstrate the effectiveness of the proposed approach.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106261"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145267879","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
Decentralized leader-following formation control of nonholonomic mobile robots by local measurement: A small-gain approach 基于局部测量的非完整移动机器人分散leader-follow群体控制:一种小增益方法
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-10-09 DOI: 10.1016/j.sysconle.2025.106253
Mingyu Chen , Weiyao Lan , Andrea Cristofaro , Xiao Yu
{"title":"Decentralized leader-following formation control of nonholonomic mobile robots by local measurement: A small-gain approach","authors":"Mingyu Chen ,&nbsp;Weiyao Lan ,&nbsp;Andrea Cristofaro ,&nbsp;Xiao Yu","doi":"10.1016/j.sysconle.2025.106253","DOIUrl":"10.1016/j.sysconle.2025.106253","url":null,"abstract":"<div><div>This paper considers the leader-following formation control problem of multiple nonholonomic mobile robots by local measurement. The sensor network among the multi-robot system is described by a general directed graph, which contains a directed spanning tree with the root node denoting the leader. A dynamic control law consisting of an observer and a velocity controller, is designed based on the feedback of measurements on the relative positions and orientations. Particularly, the proposed control law can be implemented without using any communication provided that the reference velocities are prior set, which makes it feasible in a decentralized manner. The small-gain theorem is employed to deal with stability analysis on the augmented closed-loop system. A low-gain parameter in the observer ensures that the small-gain condition can be satisfied. The global asymptotic stability of the augmented multi-robot closed-loop system is guaranteed by the proposed small-gain approach. More interestingly, the proposed dynamic control law is robust to measurement errors in relative positions and orientations. Finally, the effectiveness is illustrated by the simulation results of examples.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106253"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145267877","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
Delayed output feedback stabilization of ODE-heat cascades ode热级联的延迟输出反馈稳定化
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-09-18 DOI: 10.1016/j.sysconle.2025.106222
Hugo Lhachemi
{"title":"Delayed output feedback stabilization of ODE-heat cascades","authors":"Hugo Lhachemi","doi":"10.1016/j.sysconle.2025.106222","DOIUrl":"10.1016/j.sysconle.2025.106222","url":null,"abstract":"<div><div>This paper addresses the problem of output feedback stabilization of ODE-heat cascades. The ODE enters into the heat equation through a either Dirichlet or Neumann boundary condition. The system output applies solely to the heat equation and takes the form of either a distributed measurement or boundary/in-domain pointwise Dirichlet/Neumann measurement. The adopted approach relies on spectral reduction methods through a detailed study of the eigenelements of the ODE-heat cascade. A full characterization of the controllability and observability properties of each individual mode of the cascade is reported. Provided the satisfaction of these controllability and observability properties for the unstable modes, we show that a finite-dimensional output feedback control strategy can always be successfully designed for achieving the exponential stabilization of the ODE-heat cascade. We discuss in particular how such a strategy extends to the case of an input delay by designing a predictor feedback.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106222"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145106528","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
Harnessing optimal robustness towards PI regulators of linear perturbed unstable systems 利用线性摄动不稳定系统的PI调节器的最优鲁棒性
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-09-04 DOI: 10.1016/j.sysconle.2025.106225
Qi Mao , Jun Chen , Fei Xie , Liqian Dou , Bailing Tian , Qun Zong
{"title":"Harnessing optimal robustness towards PI regulators of linear perturbed unstable systems","authors":"Qi Mao ,&nbsp;Jun Chen ,&nbsp;Fei Xie ,&nbsp;Liqian Dou ,&nbsp;Bailing Tian ,&nbsp;Qun Zong","doi":"10.1016/j.sysconle.2025.106225","DOIUrl":"10.1016/j.sysconle.2025.106225","url":null,"abstract":"<div><div>In this paper, we investigate how a regulator can be implemented for gaining the optimal robustness margin of second-order plants in the presence of uncertain perturbations. We are primarily interested in an intricate system, i.e., the second-order unstable plant with a zero relative degree that is accompanied by at least one unstable pole and non-minimum phase dynamics, both implemented by the proportional and proportional–integral (PI) type regulators. More specifically, we shall examine three scenarios of the system ranging from the worst case of two unstable poles and two minimum phase zeros to the case of one unstable pole and one minimum phase zero. For each class of systems, we furnish the bi-dimensional feasible horizons for the controller parameters of PI regulators. Drawing upon the feasible domains, we derive the explicit expressions of the optimal robustness margin against unknown uncertainties. Beyond that, we determine the regulator parameters for accomplishing the maximum margins, i.e., the optimum proportional and integral gains. At last, we extend to explore the optimum robustness margin achievable with a PI regulator for third-order non-minimum phase systems. Our results illustrate that the optimal robustness margins obtainable are dependent on the locations of the system’s unstable poles and non-minimum phase dynamics while attaining the optimized margin is relevant to the control parameters of the PI regulator, thus casting insight upon the design and adaptation of the regulator parameters.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106225"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"144989546","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
Event-triggered active disturbance rejection control for uncertain random nonlinear systems 不确定随机非线性系统的事件触发自抗扰控制
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-09-30 DOI: 10.1016/j.sysconle.2025.106254
Ze-Hao Wu , Feiqi Deng , Pengyu Zeng , Hua-Cheng Zhou , Hongyi Li
{"title":"Event-triggered active disturbance rejection control for uncertain random nonlinear systems","authors":"Ze-Hao Wu ,&nbsp;Feiqi Deng ,&nbsp;Pengyu Zeng ,&nbsp;Hua-Cheng Zhou ,&nbsp;Hongyi Li","doi":"10.1016/j.sysconle.2025.106254","DOIUrl":"10.1016/j.sysconle.2025.106254","url":null,"abstract":"<div><div>In this paper, event-triggered active disturbance rejection control (ADRC) is first addressed for a class of uncertain random nonlinear systems driven by bounded noise and colored noise. The event-triggered extended state observer (ESO) and ADRC controller are designed, where two respective event-triggering mechanisms with a positive constant lower bound for the inter-execution times are proposed. The random total disturbance encompassing the coupling of nonlinear unmodeled dynamics, external deterministic disturbance, bounded noise, and colored noise is estimated in real time by the event-triggered ESO and compensated in the event-triggered feedback loop. The mean square practical convergence of the closed-loop systems are shown with rigorous theoretical analysis. Finally, some numerical simulations are implemented to validate the proposed control scheme and confirm the theoretical result.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106254"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220776","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
Distributed generalized Nash equilibrium seeking approach via surrogate functions for noncooperative nonconvex games 基于代理函数的非合作非凸对策的分布式广义纳什均衡寻求方法
IF 2.5 3区 计算机科学
Systems & Control Letters Pub Date : 2025-11-01 Epub Date: 2025-09-28 DOI: 10.1016/j.sysconle.2025.106251
Yuexin Liu , Jie Zhong , Yan Wang , Wenyin Xu
{"title":"Distributed generalized Nash equilibrium seeking approach via surrogate functions for noncooperative nonconvex games","authors":"Yuexin Liu ,&nbsp;Jie Zhong ,&nbsp;Yan Wang ,&nbsp;Wenyin Xu","doi":"10.1016/j.sysconle.2025.106251","DOIUrl":"10.1016/j.sysconle.2025.106251","url":null,"abstract":"<div><div>This paper addresses distributed generalized Nash equilibrium seeking in noncooperative nonconvex games, where the decisions of players are subject to coupled nonconvex constraints and bound constraints. To address the limitations of existing approaches that either cannot handle bound constraints or require external augmentation terms (which incur high computational costs), a multi-agent system based on surrogate functions for nonconvex games is proposed. The convergence of the multi-agent system to a local variational generalized Nash equilibrium is proven. To demonstrate the effectiveness of the proposed multi-agent system, three numerical examples are presented to validate the main theoretical results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"205 ","pages":"Article 106251"},"PeriodicalIF":2.5,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145220777","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
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