Wu Yang , Xing Zhang , Li-Mei Wei , Yan-Wu Wang , Xiao-Kang Liu
{"title":"Concave K∞ function-based adaptive tracking control of nonlinear second-order system","authors":"Wu Yang , Xing Zhang , Li-Mei Wei , Yan-Wu Wang , Xiao-Kang Liu","doi":"10.1016/j.ejcon.2025.101191","DOIUrl":"10.1016/j.ejcon.2025.101191","url":null,"abstract":"<div><div>How to simultaneously avoid the chattering and overestimation phenomena in classical adaptive sliding mode control is interesting but challenging. In this paper, we investigate the tracking control issue for a class of nonlinear second-order system with external disturbances, in which the bound of external disturbances exists but is unknown. To solve issue, we introduce the so-called concave <span><math><msub><mrow><mi>K</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span> function and design a continuous nonsingular terminal sliding mode controller. We first show that both the sliding variable and tracking error can be regulated into an small vicinity of zero within finite time without overestimating the control gain and the unexpected chattering. We then validate the superiority of the proposed method in terms of dynamics, steady-state performance, and anti-interference capability through conducting simulation experiments on magnetic levitation system.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101191"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143358784","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 tracking control for non-periodic reference signals under quantized observations","authors":"Chuiliu Kong , Ying Wang","doi":"10.1016/j.ejcon.2025.101195","DOIUrl":"10.1016/j.ejcon.2025.101195","url":null,"abstract":"<div><div>This paper considers an adaptive tracking control problem for stochastic regression systems with multi-threshold quantized observations. Different from the existing studies for periodic reference signals, the reference signals in this paper are non-periodic. The main difficulty is how to ensure that the designed controller satisfies the uniformly bounded and excitation conditions that guarantee the convergence of the estimation in the controller under non-periodic reference signals. This paper designs two backward-shifted polynomials with time-varying parameters and a special projection structure, which break through periodic limitations and establish the convergence and tracking properties. To be specific, the adaptive tracking control law can achieve asymptotically optimal tracking for the non-periodic reference signal in the mean square sense. Besides, the proposed estimation algorithm is proved to converge to the true values in almost sure and mean square sense, and the convergence speed can reach <span><math><mrow><mi>O</mi><mfenced><mrow><mfrac><mrow><mn>1</mn></mrow><mrow><mi>k</mi></mrow></mfrac></mrow></mfenced></mrow></math></span> under suitable design of the quantized weight coefficients. Finally, the effectiveness of the proposed adaptive tracking control scheme is verified through a simulation.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101195"},"PeriodicalIF":2.5,"publicationDate":"2025-02-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143428134","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}
David Vázquez , Daniel Quintana , Alan Tapia , Víctor Estrada-Manzo , Miguel Bernal
{"title":"Convex handling of nonlinear nominal models can overcome limitations on sliding mode observer design","authors":"David Vázquez , Daniel Quintana , Alan Tapia , Víctor Estrada-Manzo , Miguel Bernal","doi":"10.1016/j.ejcon.2025.101192","DOIUrl":"10.1016/j.ejcon.2025.101192","url":null,"abstract":"<div><div>This report establishes that overcoming limitations on standard synthesis of sliding mode observers, namely, the rank and size requisites for output/perturbation decoupling and the number of transformations required, depends on avoiding linear nominal systems. This task is achieved by two local diffeomorphisms which transform the system into a flexible nonlinear nominal structure plus disturbances. Based on such decomposition, convex modelling and optimization is employed to design the continuous part of the observer while the discontinuous one is adequately chosen to guarantee sliding over a nonlinear output error surface. Examples, both academic and physical, that cannot be treated by the standard methodology, are presented to illustrate the advantages of the proposal.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101192"},"PeriodicalIF":2.5,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143350924","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}
Alexander Kilian , Bernhard Maschke , Andrii Mironchenko , Fabian Wirth
{"title":"Infinite-dimensional port-Hamiltonian systems with a stationary interface","authors":"Alexander Kilian , Bernhard Maschke , Andrii Mironchenko , Fabian Wirth","doi":"10.1016/j.ejcon.2025.101190","DOIUrl":"10.1016/j.ejcon.2025.101190","url":null,"abstract":"<div><div>We consider two systems of two conservation laws that are defined on complementary, one-dimensional spatial intervals and coupled by an interface as a single port-Hamiltonian system. In case of a fixed interface position, we characterize the boundary and interface conditions for which the associated port-Hamiltonian operator generates a contraction semigroup. Furthermore, we present sufficient conditions for the exponential stability of the generated <span><math><msub><mrow><mi>C</mi></mrow><mrow><mn>0</mn></mrow></msub></math></span>-semigroup. The results are illustrated by the example of two acoustic waveguides coupled by a membrane interface.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101190"},"PeriodicalIF":2.5,"publicationDate":"2025-02-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143350925","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":"Almost sure stability of discrete-time linear systems subject to nested quantization under erasure channels of limited data rate","authors":"Jian Wang , Jiafeng Yu","doi":"10.1016/j.ejcon.2025.101194","DOIUrl":"10.1016/j.ejcon.2025.101194","url":null,"abstract":"<div><div>This paper investigates almost sure stability of discrete-time linear systems over packet erasure forward channel (the channel from the controller to the actuator) and packet erasure backward channel (the channel from the sensor to the controller) of limited data rate, which involves input quantization (for the controller output) and output quantization (for the plant output) with limited data rate. The interaction of output quantization and input quantization may lead to the nested quantizations, which complicates the system design immensely. Moreover, only by the plant output or the controller output received by their quantizers, the quantizers can not decide the dynamics of quantization region of the plant output and the controller output under packet erasure forward and backward channels, so some dynamical systems are constructed to represent the dynamics of quantization region for quantizing the outputs of the system and the controller. Specially, the state vector of the dynamical systems composes of not only the real outputs of the system and the controller but also their quantized values at last time. By these dynamical systems the considered system is modeled by a stochastic difference system, and the considered problem is transformed into the almost sure stability problem of the stochastic difference system. With spherical polar coordinate quantizer and the constructed systems, a quantization method is presented for solving nested quantization with limited data rate and achieving almost sure stability of the systems under the packet erasure channels. Numerical examples show the effectiveness of the results.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101194"},"PeriodicalIF":2.5,"publicationDate":"2025-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143358783","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":"Stability analysis of switching systems under the improved persistent dwell time strategy","authors":"Qiang Yu, Yuanyang Feng","doi":"10.1016/j.ejcon.2025.101193","DOIUrl":"10.1016/j.ejcon.2025.101193","url":null,"abstract":"<div><div>For discrete-time switching systems, the new concept of <span><math><mi>Φ</mi></math></span>-dependent average persistent dwell time (<span><math><mi>Φ</mi></math></span>APDT) is proposed for the first time. Based on the <span><math><mi>Φ</mi></math></span>APDT strategy and the quasi-time-varying Lyapunov function approach, global exponential stability conditions for discrete-time switching systems in linear and nonlinear cases are derived. Then, using linear matrix inequalities, the relevant results can be applied to the design of stabilizing controllers for discrete-time switching linear systems. Finally, a typical numerical example is used to compare the <span><math><mi>Φ</mi></math></span>APDT strategy with PDT and MDPDT strategies to confirm the effectiveness and superiority of the new strategy.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101193"},"PeriodicalIF":2.5,"publicationDate":"2025-02-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143331719","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":"Model reference adaptive control for state and input constrained linear systems","authors":"Sudipta Chattopadhyay, Srikant Sukumar, Vivek Natarajan","doi":"10.1016/j.ejcon.2025.101196","DOIUrl":"10.1016/j.ejcon.2025.101196","url":null,"abstract":"<div><div>State and input constraints are ubiquitous in all engineering systems and developing adaptive controllers for uncertain linear systems under pre-specified state and input constraints is a problem of fundamental interest. For uncertain linear systems, a computationally inexpensive control method is the model reference adaptive control (MRAC). Although MRAC controllers come with strong stability guarantees they do not guarantee system operation within the pre-defined state and input constraints. Several modifications of the MRAC framework have been proposed to address input constraints in uncertain linear systems. Considering the infeasibility of arbitrary reference trajectories, reference modification has been implemented in the case of input constraints in the literature. The resulting conditions on the reference and input signals are difficult to verify online. Similar results on state and input constraints together have also been proposed, albeit resulting in more complex and unverifiable conditions on the control. In this paper, we have developed a modified MRAC controller that can handle state and input constraints in uncertain linear systems. We have also provided easily verifiable conditions on the control and reference under which our stability results hold. Obtaining such a verifiable condition is crucial in practical implementations on safety–critical systems. A combination of reference modification and barrier Lyapunov methods in adaptive control are employed to arrive at these results.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101196"},"PeriodicalIF":2.5,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143182570","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}
Carlos Aguilar-Ibanez , Miguel S. Suarez-Castanon , Belem Saldivar , Juan Carlos Martínez-García , Octavio Gutiérrez-Frias
{"title":"A robust trajectory tracking controller for a magnetic system: A sliding mode-based approach","authors":"Carlos Aguilar-Ibanez , Miguel S. Suarez-Castanon , Belem Saldivar , Juan Carlos Martínez-García , Octavio Gutiérrez-Frias","doi":"10.1016/j.ejcon.2025.101189","DOIUrl":"10.1016/j.ejcon.2025.101189","url":null,"abstract":"<div><div>A robust control strategy is developed to address the position trajectory tracking problem in a perturbed magnetic levitation system. The system consists of two electromagnets, each controlled by its respective input voltage. To enhance the model’s complexity, perturbations are introduced into the electrical and mechanical subsystems. The controller design begins under the assumption of a disturbance-free system. Subsequently, an integral sliding mode controller (ISMC) is incorporated to compensate for matching disturbances initially excluded from the model, and a super-twisting observer (STO) is employed to estimate and reject disturbances affecting the mechanical dynamics. The proposed control strategy enforces the convergence of two invariant manifolds to the origin. The first manifold ensures the asymptotic convergence of the position-tracking error to zero, while the second stabilizes the magnetic system and prevents magnetic flux saturation and singularities. The stability properties of the closed-loop system are rigorously analyzed using Lyapunov-based methods, ensuring robustness against bounded disturbances. Numerical simulations are conducted to evaluate the performance of the control scheme, demonstrating its efficacy in achieving precise trajectory tracking and disturbance rejection under the imposed perturbations.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101189"},"PeriodicalIF":2.5,"publicationDate":"2025-01-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143395884","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}
Alexey A. Margun , Van H. Bui , Alexey A. Bobtsov , Denis V. Efimov
{"title":"State estimation for a class of nonlinear time-varying uncertain systems under multiharmonic disturbance","authors":"Alexey A. Margun , Van H. Bui , Alexey A. Bobtsov , Denis V. Efimov","doi":"10.1016/j.ejcon.2025.101185","DOIUrl":"10.1016/j.ejcon.2025.101185","url":null,"abstract":"<div><div>The paper considers the observer synthesis for nonlinear, time-varying plants with uncertain parameters under multiharmonic disturbance. It is assumed that the relative degree of the plant is known, the regressor linearly depends on the state vector and may have a nonlinear relationship with the output signal. The proposed solution consists of three steps. Initially, an unknown input state observer is synthesized. This observer, however, necessitates the measurement of output derivatives equal to the plant’s relative degree. To relax this limitation, an alternative representation of the observer is introduced. Further, based on this observer, the unknown parameters and disturbances are reconstructed using an autoregression model and the dynamic regressor extension and mixing (DREM) approach. This approach allows the estimates to be obtained in a finite time. Finally, based on these estimates, an observer has been constructed that does not require measurements of the output derivatives. The effectiveness and efficiency of this solution are demonstrated through a computer simulation.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101185"},"PeriodicalIF":2.5,"publicationDate":"2025-01-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143182568","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":"Corrigendum to “Actuator fault-tolerant mixed passivity and H∞ control for autonomous marine surface vehicles: a sampled-data approach” [European Journal of Control 81 (2025) 101167]","authors":"Soundararajan Vimal Kumar, Jonghoek Kim","doi":"10.1016/j.ejcon.2025.101188","DOIUrl":"10.1016/j.ejcon.2025.101188","url":null,"abstract":"","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101188"},"PeriodicalIF":2.5,"publicationDate":"2025-01-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143182569","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}