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Estimating the robust domain of attraction for difference inclusions using an interval Lyapunov equation 利用区间 Lyapunov 方程估算差分夹杂物的稳健吸引域
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-04 DOI: 10.1016/j.sysconle.2024.105911
{"title":"Estimating the robust domain of attraction for difference inclusions using an interval Lyapunov equation","authors":"","doi":"10.1016/j.sysconle.2024.105911","DOIUrl":"10.1016/j.sysconle.2024.105911","url":null,"abstract":"<div><p>We present a method for estimating the domain of attraction of a discrete-time system with uncertainty. Difference inclusions are used to model the system’s dynamics. Two conditions (invariance and negative definiteness) are derived in terms of the Lyapunov stability of the systems. We propose an interval version of the Lyapunov equation, which ensures the negative definiteness for a given Lyapunov function. Then, we introduce some sufficient conditions for invariance. Finally, the estimation of the domain of attraction is extended by solving an optimization problem. These results do not assume that the Lyapunov function is quadratic and can be fully applied even in the presence of control input saturation and uncertainty, such as aperiodic sampled-data. Some numerical examples validate the method and compare it with other approaches presented in this work.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142135833","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
Robust data-driven predictive control for unknown linear time-invariant systems 未知线性时变系统的鲁棒数据驱动预测控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-04 DOI: 10.1016/j.sysconle.2024.105914
{"title":"Robust data-driven predictive control for unknown linear time-invariant systems","authors":"","doi":"10.1016/j.sysconle.2024.105914","DOIUrl":"10.1016/j.sysconle.2024.105914","url":null,"abstract":"<div><p>This paper presents a new robust data-driven predictive control scheme for unknown linear time-invariant systems by using input–state–output or input–output data based on whether the state is measurable. To remove the need for the persistently exciting (PE) condition of a sufficiently high order on pre-collected data, a set containing all systems capable of generating such data is constructed. Then, at each time step, an upper bound on a given objective function is derived for all systems in the set, and a feedback controller is designed to minimize this bound. The optimal control gain at each time step is determined by solving a set of linear matrix inequalities. We prove that if the synthesis problem is feasible at the initial time step, it remains feasible for all future time steps. Unlike current data-driven predictive control schemes based on behavioral system theory, our approach requires less stringent conditions for the pre-collected data, facilitating easier implementation. The effectiveness of our proposed methods is demonstrated through application to an unknown and unstable batch reactor.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142135830","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
Non-collocated control of an anti-stable system of coupled strings under delayed displacements/velocities feedback 延迟位移/位移反馈下耦合弦反稳定系统的非定位控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-04 DOI: 10.1016/j.sysconle.2024.105916
{"title":"Non-collocated control of an anti-stable system of coupled strings under delayed displacements/velocities feedback","authors":"","doi":"10.1016/j.sysconle.2024.105916","DOIUrl":"10.1016/j.sysconle.2024.105916","url":null,"abstract":"<div><p>In this paper, we consider the non-collocated stabilization of three coupled wave equations with different speeds and joint anti-dampings. These anti-dampings put all eigenvalues of the system in the right complex plane. By designing two invertible transformations, the wave system is converted into an equivalent system with damping terms at the joint points. The feedback controllers with displacements/velocities are designed to obtain the target system. The well-posedness and exponential stability of the closed-loop system are established using the PDE approach, based on the exponential stability of the target system. Simulation results are presented to verify the effectiveness of the feedback control law.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142135832","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
Competitive epidemic networks with multiple survival-of-the-fittest outcomes 具有多种优胜劣汰结果的竞争性流行病网络
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-09-02 DOI: 10.1016/j.sysconle.2024.105907
{"title":"Competitive epidemic networks with multiple survival-of-the-fittest outcomes","authors":"","doi":"10.1016/j.sysconle.2024.105907","DOIUrl":"10.1016/j.sysconle.2024.105907","url":null,"abstract":"<div><p>We use a deterministic model to study two competing viruses spreading over a two-layer network in the Susceptible–Infected–Susceptible (SIS) framework, and address a central problem of identifying the winning virus in a “survival-of-the-fittest” battle. Almost all existing conditions ensure that the same virus wins regardless of initial states. In the present paper, we ask the following question: can we systematically construct SIS bivirus networks with an arbitrary but finite number of nodes such that <em>either</em> of the viruses can win the survival-of-the-fittest battle, depending on the initial states? We answer this question in the affirmative. More specifically, we show that given almost any network layer of one virus, we can (using our proposed systematic four-step procedure) construct the network layer for the other virus such that in the resulting bivirus network, either of the two viruses can win the survival-of-the-fittest battle. Conclusions from numerical case studies, including a real-world mobility network that captures the commuting patterns for people between 107 provinces in Italy, illustrate and extend the theoretical result and its consequences.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167691124001956/pdfft?md5=03b2a78f9c67ee4232349004d0dda87a&pid=1-s2.0-S0167691124001956-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142130003","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":3,"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
On σ-error moment stability and stabilization for discrete-time semi-Markov jump linear systems 论离散时半马尔可夫跃迁线性系统的σ误差矩稳定性和稳定性
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-27 DOI: 10.1016/j.sysconle.2024.105909
{"title":"On σ-error moment stability and stabilization for discrete-time semi-Markov jump linear systems","authors":"","doi":"10.1016/j.sysconle.2024.105909","DOIUrl":"10.1016/j.sysconle.2024.105909","url":null,"abstract":"<div><p>In this paper, we study the <span><math><mi>σ</mi></math></span>-error moment stability and stabilization for a class of discrete-time semi-Markov jump linear systems (S-MJLS). It is shown that the existing results on <span><math><mi>σ</mi></math></span>-error moment stability for discrete-time S-MJLS can be obtained under weaker conditions, and based on the established stability results, the high-order moment stabilization problem is investigated for the first time.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142083908","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
Simultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedback 通过开关预测器反馈同时补偿线性系统的输入延迟和状态/输入量化
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-26 DOI: 10.1016/j.sysconle.2024.105912
{"title":"Simultaneous compensation of input delay and state/input quantization for linear systems via switched predictor feedback","authors":"","doi":"10.1016/j.sysconle.2024.105912","DOIUrl":"10.1016/j.sysconle.2024.105912","url":null,"abstract":"<div><p>We develop a switched predictor-feedback law, which achieves global asymptotic stabilization of linear systems with input delay and with the plant and actuator states available only in (almost) quantized form. The control design relies on a quantized version of the nominal predictor-feedback law for linear systems, in which quantized measurements of the plant and actuator states enter the predictor state formula. A switching strategy is constructed to dynamically adjust the tunable parameter of the quantizer (in a piecewise constant manner), in order to initially increase the range and subsequently decrease the error of the quantizers. The key element in the proof of global asymptotic stability in the supremum norm of the actuator state is derivation of solutions’ estimates combining a backstepping transformation with small-gain and input-to-state stability arguments, for addressing the error due to quantization. We extend this result to the input quantization case and illustrate our theory with a numerical example.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142077044","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
An explicit solution to the generalized Lyapunov matrix inequality 广义李雅普诺夫矩阵不等式的明确解法
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-21 DOI: 10.1016/j.sysconle.2024.105905
{"title":"An explicit solution to the generalized Lyapunov matrix inequality","authors":"","doi":"10.1016/j.sysconle.2024.105905","DOIUrl":"10.1016/j.sysconle.2024.105905","url":null,"abstract":"<div><p>We review the generalized Lyapunov matrix inequality for continuous-time systems and we provide a solution based on a modification of the Jordan normal form. The proposed construction allows to obtain explicit bounds to the decay rate and the inertia of the solution to the generalized Lyapunov matrix inequality.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142020665","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
Adaptive prescribed-time parameter estimation and control for a class of uncertain nonlinear systems 一类不确定非线性系统的自适应规定时间参数估计和控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-17 DOI: 10.1016/j.sysconle.2024.105906
{"title":"Adaptive prescribed-time parameter estimation and control for a class of uncertain nonlinear systems","authors":"","doi":"10.1016/j.sysconle.2024.105906","DOIUrl":"10.1016/j.sysconle.2024.105906","url":null,"abstract":"<div><p>This paper presents a prescribed-time (PT) parameter estimation and control algorithm for a class of uncertain nonlinear systems. Using a time-varying forgetting factor and a normalization technique, a two-filter-based parameter estimation error reconstruction mechanism is developed. On the basis of this, a novel PT parameter estimation method is proposed, under the sufficient excitation condition, which is less conservative than the persistency of excitation condition. Furthermore, by combining the proposed PT parameter estimation method and the sliding mode control method, an adaptive PT control law is designed, which makes both the tracking error and the parameter estimation error converge to zero in a prescribed time, while all the closed-loop signals remain bounded. Moreover, a modified adaptive PT control scheme is proposed to avoid any numerical problems that may arise in the implementation of the adaptive PT control method due to the use of the infinity gain function. Finally, the effectiveness of the proposed algorithm is illustrated by two simulation examples.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141997375","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
Robust output group formation tracking control of heterogeneous multi-agent systems with multiple leaders using reinforcement learning 利用强化学习实现多领导者异构多代理系统的鲁棒输出组形成跟踪控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-14 DOI: 10.1016/j.sysconle.2024.105897
{"title":"Robust output group formation tracking control of heterogeneous multi-agent systems with multiple leaders using reinforcement learning","authors":"","doi":"10.1016/j.sysconle.2024.105897","DOIUrl":"10.1016/j.sysconle.2024.105897","url":null,"abstract":"<div><p>This paper studies the distributed output formation tracking problem of grouped heterogeneous multi-agent systems under multiple leaders and uncertainties using reinforcement learning (RL). The outputs of followers are supposed to achieve robust tracking to the respective convex point of group leaders while generating an expected time-varying formation configuration. First, a distributed adaptive observer is designed under a directed graph to coordinate the multiple group leaders while estimating the leaders’ dynamics in finite-time. The adaptive mechanism avoids global information of the graph. Second, an optimal tracking problem with respect to the observer is formulated for each follower, while the feedback tracking controller is derived using an action-dependent RL algorithm. An extended learning process for essential dynamics is constructed using the same data, while the output regulation equations are solved equivalently. Third, the robust formation controller and feasibility condition are further proposed based on previous learning results. Stability of the synthetical data-driven controller is analyzed under internal uncertainties and external disturbances. Finally, simulation results are provided to demonstrate the effectiveness of the hierarchical control framework.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141984590","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
Tracking control of heterogeneous Markov jump multi-agent systems based on PI observer 基于 PI 观察器的异构马尔可夫跃迁多代理系统的跟踪控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-14 DOI: 10.1016/j.sysconle.2024.105896
{"title":"Tracking control of heterogeneous Markov jump multi-agent systems based on PI observer","authors":"","doi":"10.1016/j.sysconle.2024.105896","DOIUrl":"10.1016/j.sysconle.2024.105896","url":null,"abstract":"<div><p>This paper discusses the problem of tracking control for heterogeneous Markov jump multi-agent systems (MASs) with directed communication topology. For each follower, a distributed Proportional-Integral (PI) observer is constructed. A synchronous tracking controller is developed by considering the state of the node itself and the observation state of the observer, in conjunction with the feedback control strategy. To address the inconsistency between the controller mode and the system mode, the hidden Markov model (HMM) is employed to describe the relationship between different modes, an asynchronous controller with dual-mode dependence is constructed to stabilize the system and the stability criterion is obtained. Simulation results demonstrate that, under the condition of system mode transitions satisfying Markov jumps, both controllers can effectively achieve the tracking control of heterogeneous MASs.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141984591","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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