European Journal of Control最新文献

{"title":"Expression of analytical solution and almost sure exponential stability for linear regime-switching jump diffusion systems","authors":"Gui-Hua Zhao,&nbsp;Ran Ni","doi":"10.1016/j.ejcon.2025.101206","DOIUrl":"10.1016/j.ejcon.2025.101206","url":null,"abstract":"<div><div>In this paper, we consider linear regime-switching jump diffusion systems. First, for the homogeneous and nonhomogeneous linear regime-switching jump diffusion systems, we respectively present the expressions of the analytical solutions, which depend on the fundamental matrix of the homogeneous systems. Then, for several classes of the linear homogeneous regime-switching jump diffusion systems, the expression of solutions are given explicitly by showing the expression of the fundamental matrices. For multi-dimensional linear homogeneous regime-switching jump diffusion systems, we obtain that system is exponentially stable almost surely if and only if the sample Lyapunov exponent of the fundamental matrix is less than zero. Furthermore, through the expressions of the explicit solutions, the sufficient conditions dependent directly on coefficients are developed for the almost sure exponential stability of multi-dimensional linear homogeneous regime-switching jump diffusion systems. Especially, for a class of multi-dimensional linear homogeneous regime-switching jump diffusion systems, the sufficient and necessary condition of almost sure exponential stability is obtained. Finally, two examples, whose almost sure exponential stability cannot be analyzed by the existing related work, are given and their numerical simulations are presented to illustrate the obtained results about almost sure exponential stability.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101206"},"PeriodicalIF":2.5,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143628969","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":"A multiple connected recurrent neural network based super-twisting terminal sliding mode control for quad-rotor UAV","authors":"Jixun Li,&nbsp;Likai Wu","doi":"10.1016/j.ejcon.2025.101220","DOIUrl":"10.1016/j.ejcon.2025.101220","url":null,"abstract":"<div><div>Considering the complex environment in which quad-rotor unmanned aerial vehicle (UAV) perform their tasks, it is difficult to establish an accurate UAV model and obtain information about external disturbances. Aiming at the above problems, a multiple connected recurrent neural network (MCRNN) based on super-twisting algorithm (STA) terminal sliding mode control (TSMC) strategy is proposed. Due to the unknown dynamics, the equivalent control law of sliding mode control cannot be directly applied to UAVs. Therefore, the MCRNN controller is used to approximate the equivalent control rather than to estimate the dynamics of the quad-rotor UAV. All hidden layer neurons in MCRNN receive self-feedback as well as signals from other hidden layer neurons, thereby augmenting their capacity to capture intricate dynamic features. In addition, the robustness of the sliding mode is used to suppress the mismatched disturbance instead of the traditional disturbance observer. This solution is more flexible, and reduces computing costs. Lyapunov stability theory is used to ensure the finite-time stability of the whole system, and the real-time update law of MCRNN weights is derived. Finally, the proposed method is applied to a path-following task, obtaining a maximum overshoot of 4.58e−02 and the settling time of 0.935s. By comparing the results obtained by different methods, it is concluded that the proposed controller is insensitive to model parameter variations, is able to suppress mismatched disturbances, and has significant stability and robustness.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101220"},"PeriodicalIF":2.5,"publicationDate":"2025-03-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143621150","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":"Fixed-time stability for parabolic PDE","authors":"Anna Michalak","doi":"10.1016/j.ejcon.2025.101218","DOIUrl":"10.1016/j.ejcon.2025.101218","url":null,"abstract":"<div><div>In this paper, we introduce a novel methodology for investigating the fixed-time stability properties of the zero solution to a semilinear parabolic equation. In pursuit of this, we introduce a novel dual approach to the Lyapunov concept of stability. The dual Lyapunov function adheres to a dual Hamilton–Jacobi inequality, forming the foundation for investigating fixed-time stability (fixed extinction time) in the original problem.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101218"},"PeriodicalIF":2.5,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143619461","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":"Non-linear multi-objective Bayesian MPC of water reservoir systems","authors":"Raffaele Giuseppe Cestari,&nbsp;Andrea Castelletti,&nbsp;Simone Formentin","doi":"10.1016/j.ejcon.2025.101205","DOIUrl":"10.1016/j.ejcon.2025.101205","url":null,"abstract":"<div><div>Addressing multiple conflicting objectives in online control problems is a challenge. Traditional causal approaches optimize cost functions defined as a weighted sum of cost contributions, each representing a control objective. However, the way cost weights are chosen is traditionally heuristic, based at most on sensitivity analyses. In the literature, some solutions optimize weights based on multi-objective genetic algorithms (NSGA-II). Still, these strategies inherit the well-known deterioration phenomenon in which NSGA-II occurs. Here, we introduce a novel Non-Linear Model Predictive Control (NLMPC) formulation that automatically selects the optimal weight combination, i.e., the one resulting in the best-aggregated performance. We run <span><math><mi>N</mi></math></span> NLMPC controllers simultaneously at each time step, calibrating their cost function weights using a Bayesian Optimization that optimizes the Pareto frontier’s Hypervolume and Additive Epsilon Indicator. We then select the controller, minimizing the trade-off between objectives. We apply our approach to the Red River system, a highly non-linear and multipurpose water resource system in Vietnam. The proposed tuning algorithm overcomes the literature deterioration issue and validation over six years of observational data shows that our method minimizes the aggregated normalized cost, with and without disturbance knowledge assumption. The back-test of experimental data finally validates our control strategy, demonstrating a dominating solution against historical control.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101205"},"PeriodicalIF":2.5,"publicationDate":"2025-03-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601632","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":"Synchronization of a complex dynamical networks using deception attacks subject to uncertainty and disturbance estimator","authors":"Sakthivel N.,&nbsp;Rajkumar V.,&nbsp;Sabarish Kumar V.","doi":"10.1016/j.ejcon.2025.101208","DOIUrl":"10.1016/j.ejcon.2025.101208","url":null,"abstract":"<div><div>This work deals with the synchronization problem of complex dynamical networks (CDNs) with additive time-varying delays. To attain the desired result, an effective uncertainty and disturbance estimator (UDE)-based fault-tolerant controller with deception attacks technique is developed to overcome the obstacles. A Bernoulli random variable is employed to find the success ratio of deception attacks. By designing a suitable Lyapunov–Krasovskii functional (LKF) and utilizing Jensen’s inequality, a sufficient condition is expressed in the form of a linear matrix inequality (LMI) to ensure the asymptotic synchronization of the proposed model. Based on the UDE approach, the effects of unknown system uncertainty and external disturbance are nullified by introducing an appropriate filter. Finally, two numerical examples are presented to demonstrate the significance and applicability of the theoretical results.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101208"},"PeriodicalIF":2.5,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143619462","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":"Fast and Lightweight: A real-time parallelizable MPC for embedded systems","authors":"Yuning Jiang ,&nbsp;Kristína Fedorová ,&nbsp;Junyan Su ,&nbsp;Juraj Oravec ,&nbsp;Boris Houska ,&nbsp;Colin N. Jones","doi":"10.1016/j.ejcon.2025.101217","DOIUrl":"10.1016/j.ejcon.2025.101217","url":null,"abstract":"<div><div>This paper presents a parallelizable suboptimal Model Predictive Control (MPC) design framework for structured linear systems with polytopic state and control constraints. The proposed real-time control policy addresses structured large-scale quadratic programming (QP) problems by deriving the control action by evaluating a finite set of piece-wise affine functions (PWA). These PWA functions are precomputed offline as explicit solutions to small-scale multiparametric QP problems that tailor this method for industrial-oriented or embedded implementation. Prioritizing computational efficiency over optimality, the proposed MPC controller ensures real-time feasibility within stringent time constraints. The key contributions include the derivation of a lower bound on the fixed number of algorithm iterations required to guarantee the closed-loop performance under assumptions and an open-source C-code library, <span>ParExMPC</span>, based on the proposed framework. Numerical simulations highlight the scalability of the method, accommodating systems with a high number of decision variables and extended control horizons—well beyond the capabilities of existing explicit MPC methods. Furthermore, the developed implementation of the proposed close-to-optimal control method demonstrates superior runtime performance compared to state-of-the-art implicit MPC solutions, which rely on online optimization.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101217"},"PeriodicalIF":2.5,"publicationDate":"2025-03-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143644646","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":"Event-triggered control for output regulation of discrete-time systems","authors":"Éverton dos Santos Viana ,&nbsp;João M. Gomes da Silva Jr ,&nbsp;Luciano G. Moreira ,&nbsp;Daniel Sbarbaro","doi":"10.1016/j.ejcon.2025.101207","DOIUrl":"10.1016/j.ejcon.2025.101207","url":null,"abstract":"<div><div>This paper focuses on the design of event-triggered control mechanisms to achieve output regulation for discrete-time linear systems. It considers an observer-based state feedback controller and proposes conditions to design an event-triggered mechanism that maintains exact regulation while reducing control updates during the transient response. Since for periodic references the event-triggered policy degenerates into a time-triggered policy in steady state, that is, events are generated at each time instant, a relaxed triggering criterion is proposed. This mechanism leads to a practical output regulation with an acceptable error bound. For both the exact and practical cases, conditions in the form of linear matrix inequalities are derived to design the trigger mechanism parameters guaranteeing the closed-loop stability. Optimization problems are therefore proposed to tune these parameters to balance the control updating reduction and the tolerance for output regulation errors in steady state. A numerical example is provided to illustrate the methodology.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101207"},"PeriodicalIF":2.5,"publicationDate":"2025-03-07","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143629315","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":"Theoretical and experimental assessment of Maxwell–Boltzmann type gain distribution for the vibration control of a generalized structural system","authors":"Srilatha Abhishek ,&nbsp;Deepthi Pilakkat ,&nbsp;Jagajyoti Panda ,&nbsp;Sanjukta Chakraborty","doi":"10.1016/j.ejcon.2025.101203","DOIUrl":"10.1016/j.ejcon.2025.101203","url":null,"abstract":"<div><div>In this study, a linear frequency adaptive (LFA) optimal control was designed and investigated theoretically and experimentally for a generalized multi-degree-of-freedom structural system in its modal space. The designed control strategy followed Maxwell–Boltzmann type frequency distribution providing a concave type behavior similar to the uncontrolled structural mode to enable an improved control resistance at the regions of higher frequency responses of the system, and subsiding at the lower frequency response regions. The efficiency of the designed control was established to two existing control mechanisms, namely a frequency-sensitive lead compensated (LC) proportional control and the popular linear quadratic Gaussian (LQG) control. The theoretical evaluation was extended to include the noise effects in the closed-loop system. Based on the theoretical appraisal, thorough experimental investigations were conducted for the designed LFA and LQG control strategies applied on single-story and two-story steel shear frame models, considering diverse excitation scenarios across different frequency regions. The closed-loop test setup developed in a LabVIEW environment, interfaced with a data acquisition system to collect real-time data from the acceleration sensors attached to the structures, and the response integral in the form of convolution was used as output feedback. The results summarized that the LFA achieved the desired response with minimal control input compared to the existing control, even in the presence of significant noise uncertainty. Finally, a numerical validation was performed to compare the experimental results with the theoretical predictions, affirming the effectiveness and reliability of the designed control mechanism.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101203"},"PeriodicalIF":2.5,"publicationDate":"2025-03-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143593886","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":"Identification of piecewise affine systems using a cluster refinement technique","authors":"Miao Yu ,&nbsp;Federico Bianchi ,&nbsp;Luigi Piroddi","doi":"10.1016/j.ejcon.2025.101204","DOIUrl":"10.1016/j.ejcon.2025.101204","url":null,"abstract":"<div><div>The identification of piecewise affine (PWA) systems is a challenging mixed integer optimization problem that involves both the estimation of the dynamics associated to different modes of operation, and the partition of the state space in regions associated to said modes, the transition from one region to another corresponding to a mode switching. The challenges are mainly associated with the sample-mode assignment task, because the combinatorial complexity increases with the size of the dataset. Furthermore, some samples are consistent with more than one mode, making their classification ‘ambiguous’. The identification problem is here addressed with a two-stage iterative method, alternating between an identification phase carried out over given clusters of data associated to regions in the state space (such that each cluster is assigned to a single mode), and a refinement phase, whereby the region borders are adjusted (by reassigning samples to other clusters) to improve the model quality. Operating on data clusters (as opposed to individual samples) significantly reduces the complexity of the combinatorial mode assignment problem, and naturally avoids region outliers (isolated samples surrounded by samples assigned to a different mode). However, this approach works properly only if accompanied by a cluster refinement procedure, responsible for reshaping the mode regions and reassigning stray samples to the correct modes. The combination of these two stages is ultimately successful in determining correctly both the local models and the associated state space regions, as shown here with reference to several benchmark examples.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101204"},"PeriodicalIF":2.5,"publicationDate":"2025-03-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143562635","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":"Designing nonlinear control system considering pre- and post-dynamics of feedback loop","authors":"M.R. Homaeinezhad,&nbsp;M.M. Mousavi Alvar,&nbsp;A. Soordi,&nbsp;M. Aghaei","doi":"10.1016/j.ejcon.2025.101219","DOIUrl":"10.1016/j.ejcon.2025.101219","url":null,"abstract":"<div><div>In practical applications, dynamic physical systems under control can usually be accompanied by different types of associate pre- and post-dynamics, e.g. regarding actuation and measurement units. However, the designed control algorithms for these systems in both the industrial sector and research practices are typically focused on the main plant, neglecting the impacts of these dynamic-laden associate modules, which may have been added provisionally during the control procedure and whose dynamics can affect the closed-loop system behavior by complicating the system nonlinearities while challenging its asymptotic stability. Owing to this crucial role in the system overall performance, the controller design-stage incorporation of associate dynamics has been put into spotlight by this paper. It presents a trajectory tracking control design procedure, integrating sensor and actuator dynamics under measurement uncertainty and input hard constraints. To this end, two different approaches, namely with and without considering sensor dynamics in the control algorithm design, were explored. The Gradient Descent (GD)-based optimal two-mode discrete-time sliding mode tracking control with the searching algorithm devised for reference trajectory redesign was proposed. Then, the results were investigated in terms of tracking error, control energy, and robustness against parametric uncertainty. The sensor combined-based approach accomplishes redesigned trajectory tracking with less error and lower control energy consumption. Despite being more agile, the measurement dynamic-neglected approach posts poor tracking performance, as its position error and control energy curves enfold those of the sensor combined-based approach. The sensor combined-based approach also proves more robust against parametric uncertainty, as it successfully performs under some circumstances that direct the sensor dynamic-neglected approach toward instability. Additionally to demonstrate the performance of the proposed controller, two different control strategies – with and without devising the optimization-based searching algorithm – were compared. Adding the searching algorithm deeply decreases the control system dependence on the pre-tuning of implementation parameters. It also further reduces the tracking error and control energy compared to the second strategy. Finally, in addition to the effectiveness of the controller, results obtained from the comparative simulations conducted between the aforementioned approaches and strategies, show the impact of control design-stage incorporation of sensor dynamics in terms of tracking error, robust stability, and energy efficiency while considering input hard constraints.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"83 ","pages":"Article 101219"},"PeriodicalIF":2.5,"publicationDate":"2025-03-03","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143601630","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}