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A non-stochastic control method for systems under small random jumps
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-11 DOI: 10.1016/j.sysconle.2025.106064
Samira Mahmooee, Omid RabieiMotlagh, Haji M. Mohammadinejad
{"title":"A non-stochastic control method for systems under small random jumps","authors":"Samira Mahmooee,&nbsp;Omid RabieiMotlagh,&nbsp;Haji M. Mohammadinejad","doi":"10.1016/j.sysconle.2025.106064","DOIUrl":"10.1016/j.sysconle.2025.106064","url":null,"abstract":"<div><div>We consider a control problem containing a small Markov jump process and an on–off switch. A novel stochastic time-averaging (not a probability-averaging) technique is presented to calculate an approximate non-stochastic control that steers the system into a small neighborhood of the target point. We compute the control’s accuracy and the admissibility of the corresponding probabilities. This result will be utilized to manage a resonant power converter. The numerical plot confirms the accuracy of the estimated control outlined in this research.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"199 ","pages":"Article 106064"},"PeriodicalIF":2.1,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143592843","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
Iterative, local, small-signal L2 stability analysis of nonlinear constrained systems
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-10 DOI: 10.1016/j.sysconle.2025.106065
Reza Lavaei, Frank Cao, Amy K. Strong, Leila J. Bridgeman
{"title":"Iterative, local, small-signal L2 stability analysis of nonlinear constrained systems","authors":"Reza Lavaei,&nbsp;Frank Cao,&nbsp;Amy K. Strong,&nbsp;Leila J. Bridgeman","doi":"10.1016/j.sysconle.2025.106065","DOIUrl":"10.1016/j.sysconle.2025.106065","url":null,"abstract":"<div><div>This paper provides a method to analyze the local, small-signal <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-gain of control-affine nonlinear systems on compact sets via iterative semi-definite programs. First, a continuous piecewise affine storage function and the corresponding upper bound on the local <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-gain are found on a bounded, compact set’s triangulation. Then, to ensure that the state does not escape this set, a continuous piecewise affine barrier function is found that is robust to small-signal inputs. Local, small-signal <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> stability then holds inside each sublevel set of the barrier function inside the set where the storage function was found. The method’s effectiveness is shown in a numerical example.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"199 ","pages":"Article 106065"},"PeriodicalIF":2.1,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143577500","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
Reliability-guaranteed anti-disturbance control via closed-loop uncertainty quantification
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-10 DOI: 10.1016/j.sysconle.2025.106063
Jianchun Zhang , Wenshuo Li , Xiang Yu , Lei Guo
{"title":"Reliability-guaranteed anti-disturbance control via closed-loop uncertainty quantification","authors":"Jianchun Zhang ,&nbsp;Wenshuo Li ,&nbsp;Xiang Yu ,&nbsp;Lei Guo","doi":"10.1016/j.sysconle.2025.106063","DOIUrl":"10.1016/j.sysconle.2025.106063","url":null,"abstract":"<div><div>In order to quantitatively manage the failure probability/reliability of control systems, we propose a reliability-guaranteed anti-disturbance control (RADC) method via the closed-loop uncertainty quantification (CL-UQ). Specifically, multiple probabilistic intervals are proposed to model the parameter and disturbance uncertainties. Through the CL-UQ analysis, the uncertainty characteristic of the system states can also be depicted by multiple probabilistic intervals. Combining with the designed prescribed performance threshold, a time-varying reliability model for the control process is established. On this basis, the control optimization problem with a reliability constraint for the RADC is formulated to obtain the optimal feedback gain and observer gain. A simulation example of spacecraft attitude stabilization shows that the CL-UQ results meet with the high accuracy and the RADC effectively reduces the conservatism of the traditional anti-disturbance control.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"199 ","pages":"Article 106063"},"PeriodicalIF":2.1,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143576714","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
On real and observable rational realizations of input–output equations
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-03-05 DOI: 10.1016/j.sysconle.2025.106059
Sebastian Falkensteiner , Dmitrii Pavlov , J. Rafael Sendra
{"title":"On real and observable rational realizations of input–output equations","authors":"Sebastian Falkensteiner ,&nbsp;Dmitrii Pavlov ,&nbsp;J. Rafael Sendra","doi":"10.1016/j.sysconle.2025.106059","DOIUrl":"10.1016/j.sysconle.2025.106059","url":null,"abstract":"<div><div>Given a single (differential–algebraic) input–output equation, we present a method for finding different representations of the associated system in the form of rational realizations; these are dynamical systems with rational right-hand sides. It has been shown that in the case where the input–output equation is of order one, rational realizations can be computed, if they exist. In this work, we focus first on the existence and actual computation of the so-called observable rational realizations, and secondly on rational realizations with real coefficients. The study of observable realizations allows to find every rational realization of a given first order input–output equation, and the necessary field extensions in this process. We show that for first order input–output equations the existence of a rational realization is equivalent to the existence of an observable rational realization. Moreover, we give a criterion to decide the existence of real rational realizations. The computation of observable and real realizations of first order input–output equations is fully algorithmic. We also present partial results for the case of higher order input–output equations.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"198 ","pages":"Article 106059"},"PeriodicalIF":2.1,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143549470","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
Left-coprimeness condition for the reachability in finite time of pseudo-rational systems of order zero with an application to difference delay systems
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-25 DOI: 10.1016/j.sysconle.2025.106051
Sébastien Fueyo
{"title":"Left-coprimeness condition for the reachability in finite time of pseudo-rational systems of order zero with an application to difference delay systems","authors":"Sébastien Fueyo","doi":"10.1016/j.sysconle.2025.106051","DOIUrl":"10.1016/j.sysconle.2025.106051","url":null,"abstract":"<div><div>This paper investigates the finite-time reachability of pseudo-rational systems of order zero. A bound on the minimal time for reachability is derived, and the reachability property for integrable functions is characterized using a left-coprimeness condition. The results are further applied to difference delay systems with distributed delays.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"198 ","pages":"Article 106051"},"PeriodicalIF":2.1,"publicationDate":"2025-02-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143487903","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
Partially observed linear quadratic stochastic optimal control problem in infinite horizon: A data-driven approach
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-24 DOI: 10.1016/j.sysconle.2025.106050
Xun Li , Guangchen Wang , Jie Xiong , Heng Zhang
{"title":"Partially observed linear quadratic stochastic optimal control problem in infinite horizon: A data-driven approach","authors":"Xun Li ,&nbsp;Guangchen Wang ,&nbsp;Jie Xiong ,&nbsp;Heng Zhang","doi":"10.1016/j.sysconle.2025.106050","DOIUrl":"10.1016/j.sysconle.2025.106050","url":null,"abstract":"<div><div>This paper develops a data-driven algorithm to solve an infinite-horizon partially observed linear quadratic stochastic optimal control problem. The optimal control of this problem is related to an algebraic Riccati equation (ARE) and a filtering equation. First, we prove that the solution of a Riccati-type ordinary differential equation (ODE) converges to the unique positive semidefinite solution of the ARE. Next, we establish some data-based relationships among the system input, the system state and certain matrices that appear in the Riccati-type ODE and the filtering equation. Then, using these relationships, we design a data-driven algorithm to approximate the positive semidefinite solution of the ARE and the optimal control. The main feature of this algorithm is that it does not need the information of two system coefficients. Finally, we prove the convergence of the obtained algorithm and demonstrate its effectiveness by simulating a concrete example.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"198 ","pages":"Article 106050"},"PeriodicalIF":2.1,"publicationDate":"2025-02-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143474499","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
Design of low-dimensional controllers for high-dimensional systems
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-21 DOI: 10.1016/j.sysconle.2025.106049
Mathieu Bajodek, Hugo Lhachemi, Giorgio Valmorbida
{"title":"Design of low-dimensional controllers for high-dimensional systems","authors":"Mathieu Bajodek,&nbsp;Hugo Lhachemi,&nbsp;Giorgio Valmorbida","doi":"10.1016/j.sysconle.2025.106049","DOIUrl":"10.1016/j.sysconle.2025.106049","url":null,"abstract":"<div><div>This article presents proposals for the design of reduced-order controllers for high-dimensional dynamical systems. The objective is to develop efficient control strategies that ensure stability and robustness with reduced computational complexity. By leveraging the concept of partial pole placement, which involves placing a subset of the closed-loop system’s poles, this study aims to strike a balance between reduced-order modeling and control effectiveness. The proposed approach addresses the challenges posed by high-dimensional systems and provides a systematic framework for controller design. When an infinite-dimensional operator is Riesz spectral, our theoretical analysis highlights the potential of partial pole placement in advancing control design. Model uncertainties, introduced by an error in the spectral decomposition, can also be allowed. This is particularly illustrated in the case of systems modeled by coupled ordinary-partial differential equations (ODE-PDE).</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"198 ","pages":"Article 106049"},"PeriodicalIF":2.1,"publicationDate":"2025-02-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143465168","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
The shortest experiment for linear system identification
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-20 DOI: 10.1016/j.sysconle.2025.106045
M.K. Camlibel , H.J. van Waarde , P. Rapisarda
{"title":"The shortest experiment for linear system identification","authors":"M.K. Camlibel ,&nbsp;H.J. van Waarde ,&nbsp;P. Rapisarda","doi":"10.1016/j.sysconle.2025.106045","DOIUrl":"10.1016/j.sysconle.2025.106045","url":null,"abstract":"<div><div>In this paper we study the following problem: given an upper bound of the state-space dimension and lag on a linear time-invariant system, design a sequence of inputs so that the system dynamics can be recovered from the resulting input–output data. As our main result we propose a new online experiment design method, meaning that the selection of the inputs is iterative and guided by past data samples. We show that this approach leads to the shortest possible experiments for linear system identification. In terms of sample complexity, the proposed method outperforms offline methods based on persistency of excitation as well as existing online experiment design methods.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106045"},"PeriodicalIF":2.1,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143445843","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
Improved residual mode separation for finite-dimensional control of PDEs: Application to the Euler–Bernoulli beam
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-20 DOI: 10.1016/j.sysconle.2025.106048
Anton Selivanov , Emilia Fridman
{"title":"Improved residual mode separation for finite-dimensional control of PDEs: Application to the Euler–Bernoulli beam","authors":"Anton Selivanov ,&nbsp;Emilia Fridman","doi":"10.1016/j.sysconle.2025.106048","DOIUrl":"10.1016/j.sysconle.2025.106048","url":null,"abstract":"<div><div>We consider a simply-supported Euler–Bernoulli beam with viscous and Kelvin–Voigt damping. Our objective is to attenuate the effect of an unknown distributed disturbance using one piezoelectric actuator. We show how to design a state-feedback controller based on a finite number of dominating modes that guarantees that the <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> gain is not greater than a given value. If the remaining (infinitely many) modes are simply ignored, the calculated <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> gain is wrong. This happens because of the spillover phenomenon that occurs when the effect of the control on truncated modes is not accounted for in the feedback design. We propose a simple modification of the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> cost that prevents spillover. The key idea is to treat the control as a disturbance in the truncated modes and find the corresponding <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> gains using the bounded real lemma. These <span><math><msup><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msup></math></span> gains are added to the control weight in the <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> cost for the dominating modes, which prevents spillover. A numerical simulation of an aluminum beam with realistic parameters demonstrates the effectiveness of the proposed method. The presented approach is applicable to other types of PDEs, such as the heat, wave, and Kuramoto–Sivashinsky equations, as well as their semilinear versions. The proposed method gives a Lyapunov functional that can also be used for guaranteed cost control, regional stability analysis, and input-to-state stability.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106048"},"PeriodicalIF":2.1,"publicationDate":"2025-02-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143453968","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
Finite-dimensional observer-based boundary control for a one-dimensional stochastic heat equation
IF 2.1 3区 计算机科学
Systems & Control Letters Pub Date : 2025-02-18 DOI: 10.1016/j.sysconle.2025.106046
Yu-Shuo Shang , Ze-Hao Wu , Hua-Cheng Zhou
{"title":"Finite-dimensional observer-based boundary control for a one-dimensional stochastic heat equation","authors":"Yu-Shuo Shang ,&nbsp;Ze-Hao Wu ,&nbsp;Hua-Cheng Zhou","doi":"10.1016/j.sysconle.2025.106046","DOIUrl":"10.1016/j.sysconle.2025.106046","url":null,"abstract":"<div><div>In this article, we investigate the finite-dimensional observer-based boundary control for a one-dimensional stochastic heat equation with nonlinear multiplicative noise and non-local sensing measurement. We adopt the modal decomposition to divide the system into two subsystems: one unstable with finite positive eigenvalues and the other essentially stable. We design the controller for the unstable subsystem by dynamic extension and demonstrate that the proposed controller actually leads to the resulting closed-loop system to be well-posed and exponentially stable, both in the mean square and almost sure senses. Finally, some numerical simulations are performed to illustrate the effectiveness of the proposed method.</div></div>","PeriodicalId":49450,"journal":{"name":"Systems & Control Letters","volume":"197 ","pages":"Article 106046"},"PeriodicalIF":2.1,"publicationDate":"2025-02-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428905","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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