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}
{"title":"On the relation between approaches for boundary feedback control of hyperbolic systems","authors":"Michael Herty , Ferdinand Thein","doi":"10.1016/j.ejcon.2025.101182","DOIUrl":"10.1016/j.ejcon.2025.101182","url":null,"abstract":"<div><div>Stabilization of partial differential equations is a topic of utmost importance in mathematics as well as in engineering sciences. Concerning one dimensional problems there exists a well developed theory. Due to numerous important applications the interest in boundary feedback control of multi-dimensional hyperbolic systems is increasing. In the present work we want to discuss the relation between some of the most recent results available in the literature. The key result of the present work is to show that the type of system discussed in Yang and Yong (2024) identifies a particular class which falls into the framework presented in Herty and Thein (2024).</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101182"},"PeriodicalIF":2.5,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143182567","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}
Nidhi Shukla , N. Keerthana , R. Sakthivel , V.T. Elayabharath , Jaydev Dabas
{"title":"Observer-reliant event-triggered security control design for stochastic third-order PDE systems with multiple attacks","authors":"Nidhi Shukla , N. Keerthana , R. Sakthivel , V.T. Elayabharath , Jaydev Dabas","doi":"10.1016/j.ejcon.2025.101186","DOIUrl":"10.1016/j.ejcon.2025.101186","url":null,"abstract":"<div><div>This study accentuates the issues of state estimation and event-triggered security control design for stochastic third-order parabolic partial differential equation systems subject to nonlinearity, external disturbances, and multiple cyber attacks. Considering the unavailability of system states, a Luenberger-type state observer is implemented to acquire the approximations of actual system states for effectively addressing the problem of state unavailability. With the primary intent of utilizing network resources efficiently, we design an event-triggered controller for third-order PDE systems to effectively reduce the data transmission of the communication channel. Additionally, deception and denial-of-service attacks are assumed to occur in the communication network, which is governed by two independent sequences of Bernoulli-distributed random variables, each with its own probability. Furthermore, the dissipative performance is utilized to mitigate the effects of external disturbances. Thereafter, by constructing an appropriate Lyapunov–Krasovskii functional, a set of suitable criteria is derived within the framework of linear matrix inequalities to guarantee the mean-square exponential stability and <span><math><mrow><mrow><mo>{</mo><msub><mrow><mi>ψ</mi></mrow><mrow><mn>1</mn></mrow></msub><mo>,</mo><msub><mrow><mi>ψ</mi></mrow><mrow><mn>2</mn></mrow></msub><mo>,</mo><msub><mrow><mi>ψ</mi></mrow><mrow><mn>3</mn></mrow></msub><mo>}</mo></mrow><mo>−</mo><mi>ρ</mi></mrow></math></span> dissipativity of the considered system. Further, a precise layout for the intended controller and observer gain matrices is established by employing the postulated criteria. At the end, two numerical examples are provided to demonstrate the effectiveness and relevance of the established theoretical findings.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101186"},"PeriodicalIF":2.5,"publicationDate":"2025-01-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143182566","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}
Ngo An Thuyen , Pham Nguyen Nhut Thanh , Ho Pham Huy Anh
{"title":"Distributed event-triggered adaptive finite-time formation control for multiple under-actuated AUVs using command filtered backstepping technique with prescribed performance","authors":"Ngo An Thuyen , Pham Nguyen Nhut Thanh , Ho Pham Huy Anh","doi":"10.1016/j.ejcon.2025.101183","DOIUrl":"10.1016/j.ejcon.2025.101183","url":null,"abstract":"<div><div>This study proposes an event-triggered adaptive finite time formation control for multiple under-actuated autonomous underwater vehicles (AUVs) with prescribed performance regarding to time-varying external disturbances and model uncertainties. Firstly, a state transformation is performed as to rectify the under-actuated issue of the vehicle and streamline the subsequent procedure for designing the controller. The distributed formation tracking error is then determined by applying the graph theory. Also, a mapping function is implemented to convert the constrained errors into new unconstrained variables as to achieve the prescribed performance. Second, the control law is formulated utilizing the finite time backstepping approach and event-triggering conditions, where the finite-time filter is adopted to reduce computational complexity. An adaptive strategy is developed to deal with model uncertainties and external disturbances using the universal approximation ability of radial basis function neural networks (RBFNNs). This strategy permits updating only two parameters per follower. The problem of control input saturation is also considered and resolved with the design of the finite-time auxiliary system. Consequently, all signals of the closed-loop system exhibit stability and achieve finite-time convergence while successfully avoiding the Zeno behavior. Eventually, case study using numerical simulations demonstrates the feasibility, superiority and effectiveness of the proposed controller.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"82 ","pages":"Article 101183"},"PeriodicalIF":2.5,"publicationDate":"2025-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143182565","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}