Friedrich M. Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser , Bernhard Maschke
{"title":"Optimal control of port-Hamiltonian systems: Energy, entropy, and exergy","authors":"Friedrich M. Philipp , Manuel Schaller , Karl Worthmann , Timm Faulwasser , Bernhard Maschke","doi":"10.1016/j.sysconle.2024.105942","DOIUrl":"10.1016/j.sysconle.2024.105942","url":null,"abstract":"<div><div>We consider irreversible and coupled reversible–irreversible nonlinear port-Hamiltonian systems and the respective sets of thermodynamic equilibria. In particular, we are concerned with optimal state transitions and output stabilization on finite-time horizons. We analyze a class of optimal control problems, where the performance functional can be interpreted as a linear combination of energy supply, entropy generation, or exergy supply. Our results establish the integral turnpike property towards the set of thermodynamic equilibria providing a rigorous connection of optimal system trajectories to optimal steady states. Throughout the paper, we illustrate our findings by means of two examples: a network of heat exchangers and a gas-piston system.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"194 ","pages":"Article 105942"},"PeriodicalIF":2.1,"publicationDate":"2024-10-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142533700","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}
Dongxin Ren , Guochen Pang , Xiaojian Mou , Xiangyong Chen , Jianlong Qiu , Jinde Cao
{"title":"Simultaneous fault-tolerant consensus control and disturbance suppression for multi-agent systems with polynomial form fault under switching topology","authors":"Dongxin Ren , Guochen Pang , Xiaojian Mou , Xiangyong Chen , Jianlong Qiu , Jinde Cao","doi":"10.1016/j.sysconle.2024.105946","DOIUrl":"10.1016/j.sysconle.2024.105946","url":null,"abstract":"<div><div>For continuous-time linear leader-follower multi-agent systems with polynomial faults, the problem of fault-tolerant state consensus under switching topologies is studied. firstly, the average dwell time method is introduced, and observers are designed for different topologies to observe faults and disturbances. Secondly, according to the observed estimated value, the corresponding fault-tolerant control consensus protocol is proposed considering the switching situation of the communication topology. Finally, both theoretical analysis and simulation examples verify that the proposed design scheme can compensate faults and disturbance rejection.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105946"},"PeriodicalIF":2.1,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530585","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}
{"title":"Cluster consensus of finite-field networks with stochastic communication topology","authors":"Yalu Li , Gaoxi Xiao , Haitao Li","doi":"10.1016/j.sysconle.2024.105944","DOIUrl":"10.1016/j.sysconle.2024.105944","url":null,"abstract":"<div><div>Most of the multi-agent systems (MASs) in real life are with limited storage and communication capabilities; studies on such systems, including consensus problem, however have been mainly based on real number field models. In this article, the cluster consensus problem of MASs with stochastic communication topology over finite-field known as the cluster consensus of finite-field networks (FFNs), is considered. Using the semi-tensor product of matrices, the dynamics of FFNs with stochastic communication topology are equivalently converted into a logical algebraic form, which facilitates further studies. Then a permutation system is introduced. The relationship between cluster consensus of FFNs with stochastic communication topology and the set stability with probability one (SSPO) of the permutation system is revealed. In such an approach, some verifiable criteria can be derived for the cluster consensus of FFNs with stochastic communication topology, without requesting the connectivity of the whole network. Finally, an example is presented to validate the main results.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105944"},"PeriodicalIF":2.1,"publicationDate":"2024-10-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530586","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}
Mai-Kao Lu , Ming-Feng Ge , Zhi-Chen Yan , Teng-Fei Ding , Zhi-Wei Liu
{"title":"An integrated decision-execution framework of cooperative control for multi-agent systems via reinforcement learning","authors":"Mai-Kao Lu , Ming-Feng Ge , Zhi-Chen Yan , Teng-Fei Ding , Zhi-Wei Liu","doi":"10.1016/j.sysconle.2024.105949","DOIUrl":"10.1016/j.sysconle.2024.105949","url":null,"abstract":"<div><div>Cooperative control is both a crucial and hot research topic for multi-agent systems (MASs). However, most existing cooperative control strategies guarantee tracking stability under various non-ideal conditions, while the path decision capability is often ignored. In this paper, the integrated decision-execution (IDE) framework is newly presented for cooperative control of multi-agent systems (MASs) to accomplish the integrated task of path decision and cooperative execution. This framework includes a decision layer and a control layer. The decision layer generates a continuous trajectory for the virtual leader to reach the target from its initial position in an unknown environment. To achieve the goal of this layer, (1) the Step-based Adaptive Search Q-learning (SASQ-learning) algorithm is proposed based on reinforcement learning to efficiently find the discrete path, (2) an Axis-based Trajectory Fitting (ATF) method is developed to convert the discrete path into a continuous trajectory for mobile agents. In the control layer, this trajectory is used to regulate the following MASs to achieve cooperative tracking control with the presence of input saturation. Simulation experiments are presented to demonstrate the effectiveness of this framework.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105949"},"PeriodicalIF":2.1,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530583","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}
{"title":"Spectrum computation and optimization for controllability Gramian of networked Laplacian systems with limited control placement","authors":"Yuexin Cao , Yibei Li , Zhuo Zou , Xiaoming Hu","doi":"10.1016/j.sysconle.2024.105945","DOIUrl":"10.1016/j.sysconle.2024.105945","url":null,"abstract":"<div><div>This paper investigates the problem of placing a given number of controls to optimize energy efficiency for a family of linear dynamical systems, whose structure is induced by the Laplacian of a square-grid network. To quantify the performance of control combinations, several metrics have been proposed based on the spectrum of the controllability Gramian. But commonly used algorithms to compute the spectrum are usually time-consuming. In this paper, we first classify five anchor symmetries of the network systems. Then motivated by various advantages of symmetric control combinations, we provide a method to compute the eigenvalues and eigenvectors of their controllability Gramians more efficiently. Specifically, we show that they can be expressed by those of two lower-dimensional matrices. Furthermore, our method can be applied for non-symmetric cases to provide upper and lower bounds for the spectrum of the controllability Gramians. Finally, by employing the sum of eigenvalues, i.e., the trace of controllability Gramian, as the objective function, we provide a closed-form algorithm to the spectrum optimization problem with a given number of controls subject to system controllability.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105945"},"PeriodicalIF":2.1,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530584","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}
Yu-Long Fan , Chuan-Ke Zhang , Yun-Fan Liu , Yong He , Qing-Guo Wang
{"title":"Stability analysis of systems with time-varying delays for conservatism and complexity reduction","authors":"Yu-Long Fan , Chuan-Ke Zhang , Yun-Fan Liu , Yong He , Qing-Guo Wang","doi":"10.1016/j.sysconle.2024.105948","DOIUrl":"10.1016/j.sysconle.2024.105948","url":null,"abstract":"<div><div>This paper is concerned with the stability analysis of systems with time-varying delays via the Lyapunov–Krasovskii functional (LKF) method. Unlike the most existing works primarily on conservatism reduction, this paper aims to establish stability criteria with less conservatism as well as low complexity, based on a relatively simple LKF with improved derivative treatments. For this purpose, a fragmented-component-based integral inequality is developed through matrix-separation and mixed estimation of the augmented integral term, which tights the estimation gap and contributes to conservatism reduction; and a novel linearized transformation method is proposed by stripping-simplification and matrix-injection, which handles nonlinear delay-itself-related terms at a low complexity cost. Then, a novel stability criterion as well as several comparative criteria are obtained for linear time-delay systems. Finally, the superiority of the proposed methods is demonstrated via two benchmark examples and a load frequency control system.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105948"},"PeriodicalIF":2.1,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530581","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}
{"title":"Near optimality of Lipschitz and smooth policies in controlled diffusions","authors":"Somnath Pradhan , Serdar Yüksel","doi":"10.1016/j.sysconle.2024.105943","DOIUrl":"10.1016/j.sysconle.2024.105943","url":null,"abstract":"<div><div>For optimal control of diffusions under several criteria, due to computational or analytical reasons, many studies have a apriori assumed control policies to be Lipschitz or smooth, often with no rigorous analysis on whether this restriction entails loss. While optimality of Markov/stationary Markov policies for expected finite horizon/infinite horizon (discounted/ergodic) cost and cost-up-to-exit time optimal control problems can be established under certain technical conditions, an optimal solution is typically only measurable in the state (and time, if the horizon is finite) with no apriori additional structural properties. In this paper, building on our recent work (Pradhan and Yüksel, 2024) establishing the regularity of optimal cost on the space of control policies under the Borkar control topology for a general class of controlled diffusions in <span><math><msup><mrow><mi>R</mi></mrow><mrow><mi>d</mi></mrow></msup></math></span>, we establish near optimality of smooth or Lipschitz continuous policies for optimal control under expected finite horizon, infinite horizon discounted, infinite horizon average, and up-to-exit time cost criteria. Under mild assumptions, we first show that smooth/Lipschitz continuous policies are dense in the space of Markov/stationary Markov policies under the Borkar topology. Then utilizing the continuity of optimal costs as a function of policies on the space of Markov/stationary policies under the Borkar topology, we establish that optimal policies can be approximated by smooth/Lipschitz continuous policies with arbitrary precision. While our results are extensions of our recent work, the practical significance of an explicit statement and accessible presentation dedicated to Lipschitz and smooth policies, given their prominence in the literature, motivates our current paper.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105943"},"PeriodicalIF":2.1,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530582","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}
Zi-Jie Wei , Kun-Zhi Liu , Yan-Wei Wang , Zhuo-Rui Pan , Si-Xin Wen , Xi-Ming Sun
{"title":"Periodic event-triggered data-driven control for networked control systems with time-varying delays","authors":"Zi-Jie Wei , Kun-Zhi Liu , Yan-Wei Wang , Zhuo-Rui Pan , Si-Xin Wen , Xi-Ming Sun","doi":"10.1016/j.sysconle.2024.105951","DOIUrl":"10.1016/j.sysconle.2024.105951","url":null,"abstract":"<div><div>This article focuses on data-driven analysis and controller design for networked control systems (NCSs) with network-induced delays. The study considers a linear time-invariant (LTI) system controlled through a periodic event-triggering mechanism. First, by leveraging data-based representations, we establish data-based stability conditions for NCSs with time-varying delays. Furthermore, we propose the data-based method for co-designing the controller and the periodic event-triggering scheme. In addition, we present novel data-based conditions for verifying dissipativity properties of NCSs. The effectiveness of our proposed methods is validated through a simulation and a turbofan engine hardware-in-the-loop (HIL) experiment.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105951"},"PeriodicalIF":2.1,"publicationDate":"2024-10-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530580","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}
{"title":"Joint identification of system parameter and noise parameters in quantized systems","authors":"Jieming Ke, Yanlong Zhao, Ji-Feng Zhang","doi":"10.1016/j.sysconle.2024.105941","DOIUrl":"10.1016/j.sysconle.2024.105941","url":null,"abstract":"<div><div>This paper investigates the joint identification problem of unknown system parameter and noise parameters in quantized systems when the noises involved are Gaussian with unknown variance and mean value. Under such noises, previous investigations show that the unknown system parameter and noise parameters are not jointly identifiable in the single-threshold quantizer case. The joint identifiability in the multi-threshold quantizer case still remains an open problem. This paper proves that the unknown system parameter, the noise variance and the mean value are jointly identifiable if and only if there are at least two thresholds. Then, a decomposition-recombination identification algorithm is proposed to jointly identify the unknown system parameter and noise parameters. Firstly, a technique is designed to convert the identification problem with unknown noise parameters into an extended parameter identification problem with standard Gaussian noises. Secondly, the extended parameter is identified by a stochastic approximation method for quantized systems. For the effectiveness, this paper obtains the strong consistency and the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msup></math></span> convergence for the algorithm under non-persistently exciting inputs and without any <em>a priori</em> knowledge on the range of the unknown system parameter. The almost sure convergence rate is also obtained. Furthermore, when the mean value is known, the unknown system parameter and noise variance can be jointly identified under weaker conditions on the inputs and the quantizer. Finally, the effectiveness of the proposed algorithm is demonstrated by simulation.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105941"},"PeriodicalIF":2.1,"publicationDate":"2024-10-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142530579","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}
{"title":"Robust control of time-delayed stochastic switched systems with dwell","authors":"E. Gershon , L.I. Allerhand , U. Shaked","doi":"10.1016/j.sysconle.2024.105934","DOIUrl":"10.1016/j.sysconle.2024.105934","url":null,"abstract":"<div><div>Linear, state-delayed, discrete-time, stochastic, switched systems are considered, where the problems of stochastic <span><math><msub><mrow><mi>l</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-gain and state-feedback control designs are treated and solved. We first develop a special version of a bounded real lemma for the said systems for the nominal case.</div><div>Based on the this lemma we derive state-feedback gains for nominal systems where in our solution method, to each subsystem of the switched system, a Lyapunov function is assigned that is non-increasing at the switching instants and where a dwell time constrain is imposed on the system. The assigned Lyapunov function is allowed to vary piecewise linearly in time, starting at the end of the previous switch instant, and it becomes time-invariant after the dwell. Based on the solution of the state-feedback control for nominal systems and exploiting the fact that this solution is affine in the system matrices, a state-feedback control is derived for the polytopic case. We bring a numerical example that demonstrates the solvability and tractability of our solution method.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"193 ","pages":"Article 105934"},"PeriodicalIF":2.1,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142433853","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}