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Parameter identification of linear systems with heat sensors subject to unknown space-varying parameters 未知空间变化参数下带有热传感器的线性系统的参数识别
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-13 DOI: 10.1016/j.sysconle.2024.105890
{"title":"Parameter identification of linear systems with heat sensors subject to unknown space-varying parameters","authors":"","doi":"10.1016/j.sysconle.2024.105890","DOIUrl":"10.1016/j.sysconle.2024.105890","url":null,"abstract":"<div><p>We extend existing works on control of (finite-dimensional) linear systems with (infinite-dimensional) heat sensors [6]. The extension lies on the one hand, in the fact that all system poles and zeros are unknown and, on the other, in the fact that sensor equations include unknown spatially-varying parameters. These uncertainties make the problem of parameter identification quite challenging. The existing adaptive observers for this type of systems prove not to be applicable in the presence of these uncertainties. Presently, we develop an identification method that involves multi-sine exciting input signals. Doing so, the inaccessible signal at the junction point, between the system and the sensor, can be given an affine parameterized form. It turns out that the identification problem of the sensor is decoupled from that of the system. Then, a parameter estimator involving K-filters is designed to get estimates of the sensor parameters as well as those of the inaccessible signal at the junction point. A new persistent excitation concept is introduced that ensures exponential convergence of the sensor parameter estimates and the estimated junction signal. The latter is then used to identify the parameters of the system dynamics.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-13","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141978914","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
Viscosity solutions for mean field optimal switching with a two-time-scale Markov chain 使用双时间尺度马尔可夫链的均值场优化切换的粘度解决方案
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-12 DOI: 10.1016/j.sysconle.2024.105895
{"title":"Viscosity solutions for mean field optimal switching with a two-time-scale Markov chain","authors":"","doi":"10.1016/j.sysconle.2024.105895","DOIUrl":"10.1016/j.sysconle.2024.105895","url":null,"abstract":"<div><p>In this paper, we consider the mean field optimal switching problem with a Markov chain under viscosity solution notion. Based on the conditional distribution of the Markov chain, the value function and corresponding dynamic programming principle are established. We prove that the value function is the unique viscosity solution of the variational inequality on Wasserstein space. In particular, we consider a two-time-scale Markov chain and derive the convergence of the limit system. As an application of theoretical results, an innovative example concerning the stock trading problem in a regime switching market is solved.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141979199","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
Solving a class of zero-sum stopping game with regime switching 解决一类具有制度转换的零和停止博弈问题
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-09 DOI: 10.1016/j.sysconle.2024.105889
{"title":"Solving a class of zero-sum stopping game with regime switching","authors":"","doi":"10.1016/j.sysconle.2024.105889","DOIUrl":"10.1016/j.sysconle.2024.105889","url":null,"abstract":"<div><p>This paper studies a class of zero-sum stopping game in a regime switching model. A verification theorem as a sufficient criterion for Nash equilibriums is established based on a set of variational inequalities (VIs). Under an appropriate regularity condition for solutions to the VIs, a suitable system of algebraic equations is derived via the so-called smooth-fit principle. Explicit Nash equilibrium stopping rules of threshold-type for the two players and the corresponding value function of the game in closed form are obtained. Numerical experiments are reported to demonstrate the dependence of the threshold levels on various model parameters. A reduction to the case with no regime switching is also presented as a comparison.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935963","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
Sampled-data funnel control and its use for safe continual learning 抽样数据漏斗控制及其在安全持续学习中的应用
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-09 DOI: 10.1016/j.sysconle.2024.105892
{"title":"Sampled-data funnel control and its use for safe continual learning","authors":"","doi":"10.1016/j.sysconle.2024.105892","DOIUrl":"10.1016/j.sysconle.2024.105892","url":null,"abstract":"<div><p>We propose a novel sampled-data output-feedback controller for nonlinear systems of arbitrary relative degree that ensures reference tracking within prescribed error bounds. We provide explicit bounds on the maximum input signal and the required uniform sampling time. A key strength of this approach is its capability to serve as a safety filter for various learning-based controller designs, enabling the use of learning techniques in safety-critical applications. We illustrate its versatility by integrating it with two different controllers: a reinforcement learning controller and a non-parametric predictive controller based on Willems et al.’s fundamental lemma. Numerical simulations illustrate effectiveness of the combined controller design.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167691124001804/pdfft?md5=35aef28123b356b3e87515ae07784ad5&pid=1-s2.0-S0167691124001804-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935962","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
Adaptive average control for piecewise deterministic Markov processes 片断确定性马尔可夫过程的自适应平均控制
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-08 DOI: 10.1016/j.sysconle.2024.105894
{"title":"Adaptive average control for piecewise deterministic Markov processes","authors":"","doi":"10.1016/j.sysconle.2024.105894","DOIUrl":"10.1016/j.sysconle.2024.105894","url":null,"abstract":"<div><p>The main goal of this paper is to study the adaptive infinite-horizon average continuous-time optimal control problem of piecewise deterministic Markov processes (PDMPs) for the case in which there are no boundary jumps. It is assumed that the control acts continuously on the jump intensity <span><math><mi>λ</mi></math></span> and on the transition measure <span><math><mi>Q</mi></math></span> of the process, and that jump parameters (<span><math><mi>λ</mi></math></span> and <span><math><mi>Q</mi></math></span>), as well as the cost <span><math><mi>C</mi></math></span>, depend on an unknown parameter <span><math><msup><mrow><mi>β</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span>. It is shown that the principle of estimation and control holds, that is, the strategy consisting of choosing, at each stage <span><math><mi>n</mi></math></span>, an action according to an optimal stationary policy, where the true but unknown parameter <span><math><msup><mrow><mi>β</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> is replaced by its estimated value <span><math><msubsup><mrow><mi>β</mi></mrow><mrow><mi>n</mi></mrow><mrow><mo>∗</mo></mrow></msubsup></math></span>, is average optimal, provided that the sequence of estimators <span><math><mrow><mo>{</mo><msubsup><mrow><mi>β</mi></mrow><mrow><mi>n</mi></mrow><mrow><mo>∗</mo></mrow></msubsup><mo>}</mo></mrow></math></span> of <span><math><msup><mrow><mi>β</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> is strongly consistent, that is, <span><math><msubsup><mrow><mi>β</mi></mrow><mrow><mi>n</mi></mrow><mrow><mo>∗</mo></mrow></msubsup></math></span> converge to <span><math><msup><mrow><mi>β</mi></mrow><mrow><mo>∗</mo></mrow></msup></math></span> almost surely.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935964","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
Feedback linear quadratic Nash equilibrium for discrete-time Markov jump linear systems 离散时马尔可夫跃迁线性系统的反馈线性二次纳什均衡
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-06 DOI: 10.1016/j.sysconle.2024.105893
{"title":"Feedback linear quadratic Nash equilibrium for discrete-time Markov jump linear systems","authors":"","doi":"10.1016/j.sysconle.2024.105893","DOIUrl":"10.1016/j.sysconle.2024.105893","url":null,"abstract":"<div><p>This paper deals with the infinite horizon feedback LQ Nash equilibrium for discrete-time Markov jump linear systems (MJLS), which are linear systems subject to random variations that follow a Markov chain. We present necessary and sufficient conditions based on a set of coupled algebraic Riccati-like equations for the existence of a feedback LQ Nash equilibrium. To guarantee that the solution of these coupled equations are mean square stabilizing solutions some conditions written in terms of the observability/ detectability of the system modes are presented. The paper concludes with an illustrative example in the context of failure-prone robotic systems.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935965","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 and output feedback stabilization of heat equation with an intermediate-point heat source and boundary control 带有中间点热源和边界控制的热方程的规定时间和输出反馈稳定化
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-08-02 DOI: 10.1016/j.sysconle.2024.105891
{"title":"Prescribed-time and output feedback stabilization of heat equation with an intermediate-point heat source and boundary control","authors":"","doi":"10.1016/j.sysconle.2024.105891","DOIUrl":"10.1016/j.sysconle.2024.105891","url":null,"abstract":"<div><p>This paper addresses the problem of prescribed-time stabilization for the heat equation with an interior point heat source under output feedback. The study employs a two-step backstepping approach along with time-varying feedback techniques. A prescribed-time state observer and an observer-based boundary control law are developed. The proposed method extends the applicability of the prescribed time-stabilizing algorithm to heat equations with non-strict feedback terms. Numerical simulations validate its effectiveness.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935966","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
Synchronization of Kuramoto-oscillator networks under event-triggered impulsive control with noise perturbation 带噪声扰动的事件触发脉冲控制下的库拉莫托振荡器网络同步化
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-30 DOI: 10.1016/j.sysconle.2024.105884
{"title":"Synchronization of Kuramoto-oscillator networks under event-triggered impulsive control with noise perturbation","authors":"","doi":"10.1016/j.sysconle.2024.105884","DOIUrl":"10.1016/j.sysconle.2024.105884","url":null,"abstract":"<div><p>This paper studies the stochastic average synchronization of Kuramoto-oscillator networks under event-triggered impulsive control (ETIC) strategies, in which the event-triggered mechanism (ETM) determines the impulsive control time sequence. The continuous ETM is designed to avoid the Zeno behavior by continuous measuring, and the periodic ETM is proposed by periodic sampling. Based on the proposed ETIC methods, several sufficient conditions for the stochastic average synchronization of Kuramoto-oscillator networks are established. Unlike time-triggered impulsive control, where the triggered instants are pre-designed, ETIC is activated only upon the occurrence of an event, so synchronization conditions are heavily dependent on the ETM. Furthermore, there is no control input between two successive triggering instants, and the control input is required only at the trigger instants. Finally, numerical simulations are shown to illustrate the effectiveness of the theoretical results. Besides, it is found that the presence of noise may favor the synchronization of Kuramoto-oscillator networks.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935968","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
Exponential output tracking via a saturated RLC for a class of nonlinear systems under PSD of periodic references 通过饱和 RLC 对周期性参考 PSD 下的一类非线性系统进行指数输出跟踪
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-30 DOI: 10.1016/j.sysconle.2024.105888
{"title":"Exponential output tracking via a saturated RLC for a class of nonlinear systems under PSD of periodic references","authors":"","doi":"10.1016/j.sysconle.2024.105888","DOIUrl":"10.1016/j.sysconle.2024.105888","url":null,"abstract":"<div><p>This paper considers the same class of zero-relative-degree nonlinear systems for which a saturated Repetitive Learning Control (RLC) has been recently shown to ensure exponential – and not just asymptotical – convergence to zero of both the output and the input tracking errors in the case of periodic output reference signals with a known single period. The explicit role of the nonlinear unstructured uncertainties is here investigated within the more general scenario in which the output reference signal is multi-periodic. Special emphasis is provided to the generation of the input reference whose effect has to be exponentially nullified by the RLC. In particular, the following question is answered. Restrict the design to the sub-class of periodic output reference signals that admit a Periodic Signal Decomposition (PSD) (namely, the ones that can be written as a finite sum of periodic functions) with pairwise-commensurable periods (so that the knowledge of the multiple periods characterizing the input reference is preserved once the common multiple among the single periods is additionally included). Then, which robustness and convergence properties can be still achieved by the same output-feedback (definitely saturated) RLC, once it is intuitively generalized to transiently include an additional bank of learning estimation schemes corresponding to the single periods? Interestingly, the theoretical tools of this paper can be also used to successfully address identifiability and convergence issues regarding the identification of periodic components of general multi-periodic signals.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S0167691124001762/pdfft?md5=6ed8a335b637ea269befc3098a23c1cc&pid=1-s2.0-S0167691124001762-main.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935967","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
Initialization-free Lie-bracket Extremum Seeking 无初始化的列线性极值求解
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2024-07-30 DOI: 10.1016/j.sysconle.2024.105881
{"title":"Initialization-free Lie-bracket Extremum Seeking","authors":"","doi":"10.1016/j.sysconle.2024.105881","DOIUrl":"10.1016/j.sysconle.2024.105881","url":null,"abstract":"<div><p>Stability results for extremum seeking control in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>n</mi></mrow></msup></math></span> have predominantly been restricted to local or, at best, semi-global practical stability. Extending semi-global stability results of extremum-seeking systems to unbounded sets of initial conditions often demands a stringent global Lipschitz condition on the cost function, which is rarely satisfied by practical applications. In this paper, we address this challenge by leveraging tools from higher-order averaging theory. In particular, we establish a novel second-order averaging result with <em>global</em> (practical) stability implications. By leveraging this result, we characterize sufficient conditions on cost functions under which uniform global (i.e., under any initialization) practical asymptotic stability can be established for a class of extremum-seeking systems acting on static maps. Our sufficient conditions include the case when the gradient of the cost function, rather than the cost function itself, satisfies a global Lipschitz condition, which covers quadratic cost functions. Our results are also applicable to vector fields that are not necessarily Lipschitz continuous at the origin, opening the door to non-smooth Lie-bracket ES dynamics. We illustrate all the results via different analytical and/or numerical examples.</p></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":null,"pages":null},"PeriodicalIF":2.1,"publicationDate":"2024-07-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141935969","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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