{"title":"Combining learning and control in linear systems","authors":"Andreas A. Malikopoulos","doi":"10.1016/j.ejcon.2024.101043","DOIUrl":"10.1016/j.ejcon.2024.101043","url":null,"abstract":"<div><div>In this paper, we provide a theoretical framework that separates the control and learning tasks in a linear system. This separation allows us to combine offline model-based control with online learning approaches and thus circumvent current challenges in deriving optimal control strategies in applications where a large volume of data is added to the system gradually in real time and not altogether in advance. We provide an analytical example to illustrate the framework.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101043"},"PeriodicalIF":2.5,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141530139","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 partial eigenvalue assignment of second order descriptor systems","authors":"Huiqing Xie, Chuandong Liu","doi":"10.1016/j.ejcon.2024.101129","DOIUrl":"10.1016/j.ejcon.2024.101129","url":null,"abstract":"<div><div>Partial eigenvalue assignment problem (PEAP) of second order descriptor systems is investigated by using acceleration–velocity–displacement feedback. First, we derive parametric expressions of the solutions to the PEAP of a second order descriptor system, i.e., giving the expressions of acceleration, velocity and displacement feedback matrices such that the closed-loop system is regular and has the index at most 1, and some eigenvalues of the open-loop system are replaced by the desired ones, and the other eigenpairs of the open-loop system are kept unchanged. Then a numerical method is proposed for robust partial eigenvalue assignment of a second order descriptor system so that the closed-loop system is as robust as possible. Our method avoids to use the unchanged eigenpairs of the open-loop system and it is effective whether the closed-loop system has infinite eigenvalue or not. Numerical experiments are reported to test the efficiency of the proposed method.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101129"},"PeriodicalIF":2.5,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142592639","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}
Simon A. Hoff, Josef Matouš, Damiano Varagnolo, Kristin Y. Pettersen
{"title":"Communication-aware formation control for networks of AUVs","authors":"Simon A. Hoff, Josef Matouš, Damiano Varagnolo, Kristin Y. Pettersen","doi":"10.1016/j.ejcon.2024.101062","DOIUrl":"10.1016/j.ejcon.2024.101062","url":null,"abstract":"<div><div>We propose a distributed formation control algorithm augmented with communication awareness. We consider autonomous underwater vehicles (AUVs) that are able to communicate over an acoustic link using a Time Division Multiple Access (TDMA) protocol, and to measure the Signal-to-Noise Ratio (SNR) of incoming messages. Based on the measured SNR and packet loss, we endow them with a distributed formation control scheme that accounts for the time-varying nature of the acoustic communication channel. This scheme allows a network of <span><math><mi>N</mi></math></span> AUVs to follow a pre-determined, twice-differentiable path while adapting their formation. The size of the formation is dynamically scaled by a formation adaptation mechanism to stabilize the estimated packet loss probability at a desired level. A distributed packet loss estimator is then built on top of the same average consensus routines used by the formation control algorithm, and thus comes with a minimal communication overhead. We test the algorithm by means of high-fidelity simulators, and verify its efficacy in making the network of agents retain formation-wide communication capabilities in a range of cases.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101062"},"PeriodicalIF":2.5,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141397907","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}
Benjamin Calmbach , Jaime A. Moreno , Johann Reger
{"title":"Minimizing the homogeneous L2-gain of homogeneous differentiators","authors":"Benjamin Calmbach , Jaime A. Moreno , Johann Reger","doi":"10.1016/j.ejcon.2024.101039","DOIUrl":"10.1016/j.ejcon.2024.101039","url":null,"abstract":"<div><div>The differentiation of noisy signals using the family of homogeneous differentiators is considered. It includes the high-gain (linear) as well as robust exact (discontinuous) differentiator. To characterize the effect of noise and disturbance on the differentiation estimation error, the generalized, homogeneous <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-gain is utilized. Analog to the classical <span><math><msub><mrow><mi>L</mi></mrow><mrow><mi>p</mi></mrow></msub></math></span>-gain, it is not defined for the discontinuous case w.r.t. disturbances acting on the last channel. Thus, only continuous differentiators are addressed. The gain is estimated using a differential dissipation inequality, where a scaled Lyapunov function acts as storage function for the homogeneous <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span> supply rate. The fixed differentiator gains are scaled with a gain-scaling parameter similar to the high-gain differentiator. This paper shows the existence of an optimal scaling which minimizes the homogeneous <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-gain estimate and provides a procedure to obtain it locally. Differentiators of dimension two are considered and the results are illustrated via numerical evaluation and a simulation example.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101039"},"PeriodicalIF":2.5,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141401232","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}
Huili Xiao , Shuzhan Zhang , Dongya Zhao , Xinggang Yan , Sarah K. Spurgeon
{"title":"Output feedback integral sliding mode predictive control for linear discrete time systems","authors":"Huili Xiao , Shuzhan Zhang , Dongya Zhao , Xinggang Yan , Sarah K. Spurgeon","doi":"10.1016/j.ejcon.2024.101131","DOIUrl":"10.1016/j.ejcon.2024.101131","url":null,"abstract":"<div><div>In this paper, a new output feedback integral sliding model predictive control (OF-ISMPC) strategy is proposed for linear discrete-time systems when the states are unmeasured, which avoids the utilization of a state observer. The proposed OF-ISMPC can ensure strong robustness while at the same time achieving optimal performance of the controlled system. The role of the output feedback integral sliding mode control (OF-ISMC) is to compensate for any matched disturbances. The role of the output feedback robust model predictive control (OF-RMPC) is to solve the optimization problem with constraints. Moreover, the impact of unmatched disturbances on the system is reduced by defining the integral sliding surface as a function of an optimal projection matrix. The input-to-state practical stability for the closed-loop system is proved. Finally, numerical simulations and experimental results are provided to validate the effectiveness of the proposed approach.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101131"},"PeriodicalIF":2.5,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142652658","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":"Data-driven event-triggering mechanism for linear systems subject to input saturation","authors":"Alexandre Seuret , Sophie Tarbouriech","doi":"10.1016/j.ejcon.2024.101045","DOIUrl":"10.1016/j.ejcon.2024.101045","url":null,"abstract":"<div><div>This paper focuses on designing an event-triggering mechanism aimed at reducing control updates while maintaining the stability of a saturated closed-loop system. It addresses the regional stabilization of linear systems under input saturation conditions from a data-driven perspective. To do so, we propose a systematic method to convert model-driven conditions into data-driven control design Linear Matrix Inequality (LMI) conditions, enabling the co-design of the event-triggering rule and the state feedback gain. The theoretical contribution is then applied to the control of a spacecraft rendezvous problem.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101045"},"PeriodicalIF":2.5,"publicationDate":"2024-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141395645","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}
{"title":"Adaptive asymptotic tracking control of constrained nonlinear MIMO systems subject to unknown hysteresis input: A novel network-based strategy","authors":"Wei Zhao , Yu-Qun Han , Shan-Liang Zhu","doi":"10.1016/j.ejcon.2024.101127","DOIUrl":"10.1016/j.ejcon.2024.101127","url":null,"abstract":"<div><div>This paper presents a referential adaptive asymptotic tracking control scheme for nonlinear multi-input and multi-output (MIMO) systems with time-varying full-state constraints and unknown hysteresis input. In order to achieve good asymptotic tracking effect, a zero-limit positive continuous function is introduced into the adaptive backstepping design process while thoroughly considering the impact of disturbance-like terms on the tracking effect. Additionally, a new variable is also imported to replace the reciprocal of unknown coefficient of the Bouc–Wen hysteresis model. Then, a new adaptive law about the new variable is added by combining the positive function, which can not only lessen the impact of the unknown hysteresis input on the tracking effect, but also avoid the “singularity” problem. Aiming at the time-varying full-state constraints, a appropriate time-varying log-type barrier Lyapunov function (TLBLF) is constructed to ensure that all the states of the system are restricted within the constraint scope. Finally, a significant adaptive asymptotic tracking scheme is designed based on multi-dimensional Taylor network (MTN) approximation technology. Apart from achieving high-precision asymptotic tracking performance, the proposed scheme ensures the boundedness of all signals of the closed-loop system without violating the full-state constraints. And, three simulations are given to verify the effectiveness of the scheme.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101127"},"PeriodicalIF":2.5,"publicationDate":"2024-10-19","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535551","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":"Adaptive finite-time consensus tracking for nonlinear second-order multi-agent systems based on integral sliding mode","authors":"Shan Wang , Xisheng Zhan , Jie Wu , Huaicheng Yan","doi":"10.1016/j.ejcon.2024.101122","DOIUrl":"10.1016/j.ejcon.2024.101122","url":null,"abstract":"<div><div>This paper delves into the investigation of finite-time consensus for second-order nonlinear multi-agent systems (MASs) with external disturbances under directed topology. The MASs considered in this study consist of <span><math><mi>n</mi></math></span> followers and a leader, and the followers are subject to bounded disturbances. First, a continuous nonsingular integral terminal sliding mode is designed, which can effectively eliminate the singularity and chattering. Then, a finite-time disturbance observer is introduced to estimate and compensate for disturbances. Subsequently, an integral sliding mode adaptive controller is designed to enhance system’s robustness, improve response speed, and increase tracking accuracy. Furthermore, Lyapunov theory is utilized to demonstrate that the system achieves finite-time consensus under a directed connected topology. Finally, we apply a simulation to verify the efficacy of the proposed consensus control protocol.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101122"},"PeriodicalIF":2.5,"publicationDate":"2024-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535549","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":"Consensus for discrete-time second-order multi-agent systems in the presence of noises and semi-Markovian switching topologies","authors":"Xiaojin Huang , Yongjian Liu , Jianhua Huang","doi":"10.1016/j.ejcon.2024.101124","DOIUrl":"10.1016/j.ejcon.2024.101124","url":null,"abstract":"<div><div>In this paper, we focus on the control problem of mean square consensus for second-order continuous-time multi-agent systems with multiplicative noises under Markovian switching topologies. A new Lyapunov function based on the Laplacian matrix of the corresponding union topology of all possible topologies is designed for the stochastic stability analysis of consensus. Applying matrix theory and stochastic stability for stochastic differential equations, we can analyze the consensus problem of the considered systems with the designed Lyapunov function. In addition, we present the sufficient conditions of the mean square consensus exponentially for the considered stochastic systems. Finally, we give an simulation example to numerically validate our theoretical results.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101124"},"PeriodicalIF":2.5,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142445392","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":"Stabilization of hybrid stochastic differential delay equations by feedback control based on discrete-time state observation","authors":"Yin-Qiu Zhang , Xing Chen , Guangying Lv","doi":"10.1016/j.ejcon.2024.101126","DOIUrl":"10.1016/j.ejcon.2024.101126","url":null,"abstract":"<div><div>For an unstable hybrid stochastic differential delay equation, this paper designs a feedback control based on discrete-time state observation to make the controlled system become almost sure exponential stability. In order to reveal the relationship between the two features contained in the system, namely, the dependence of duration between two consecutive observations on time-delay, the method of Lyapunov functional and auxiliary system are combined in this paper. It is shown that the underlying system possesses almost sure exponential stability for sufficiently small time-interval between two consecutive observations. Finally, an illustrative example is given to show the effectiveness of the proposed control strategy.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"80 ","pages":"Article 101126"},"PeriodicalIF":2.5,"publicationDate":"2024-10-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142535550","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}