Xiaoyan Dai , Claudio De Persis , Nima Monshizadeh , Pietro Tesi
{"title":"Data-driven output feedback control of nonlinear systems: Stabilization and robustness","authors":"Xiaoyan Dai , Claudio De Persis , Nima Monshizadeh , Pietro Tesi","doi":"10.1016/j.ejcon.2025.101436","DOIUrl":"10.1016/j.ejcon.2025.101436","url":null,"abstract":"<div><div>In this article, we introduce a method to deal with the data-driven control design of nonlinear systems from input-output data only. We derive conditions to design dynamic output feedback controllers that render the closed-loop system dominantly linear using a growth condition on basis functions. These conditions take the compact form of data-dependent linear matrix inequalities. The method returns controllers that can be certified to stabilize the system even when the input-output data are perturbed. We extend the method to tackle neglected nonlinearities. Results are illustrated with numerical examples.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101436"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145840904","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}
Nesir Huseyin , Anar Huseyin , Khalik G. Guseinov , Vladimir N. Ushakov
{"title":"Approximations of the set of trajectories, attainable sets and integral funnel of the control system with mixed constraints on the control functions","authors":"Nesir Huseyin , Anar Huseyin , Khalik G. Guseinov , Vladimir N. Ushakov","doi":"10.1016/j.ejcon.2025.101422","DOIUrl":"10.1016/j.ejcon.2025.101422","url":null,"abstract":"<div><div>In this paper, the set of trajectories, attainable sets and integral funnel of a control system described by an ordinary differential equation are studied. The system is nonlinear with respect to the phase state vector and affine with respect to the control vector. It is assumed that the admissible control functions satisfy mixed constraints, including both integral and geometric constraints. Step by step, the set of admissible control functions is replaced by a set consisting of a finite number of piecewise-constant control functions that generate a finite number of trajectories. First, an error evaluation between the set of trajectories and the set consisting of a finite number of trajectories is presented. Then, the trajectories generated by the piecewise-constant control functions are changed with Euler’s broken lines, and an error estimation between the set of trajectories of the system and the set consisting of a finite number of Euler’s broken lines is obtained. Similar estimations for attainable sets of the system are also provided. By applying these results, we derive an approximation with error evaluation for the integral funnel of the system. It is shown that by appropriately defining discretization parameters, the Hausdorff distance between the set of trajectories, the attainable sets, the integral funnel and their approximations can be made sufficiently small. The impact of upper bounds of the geometric and integral constraints on the presented approximations is discussed.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101422"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738136","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":"Fully coupled mean-field forward-backward stochastic differential games under model uncertainty","authors":"Yuting Hu, Jinbiao Wu, Xiaoyu Ye","doi":"10.1016/j.ejcon.2025.101447","DOIUrl":"10.1016/j.ejcon.2025.101447","url":null,"abstract":"<div><div>In this paper, we are concerned with optimal stochastic control problems under model uncertainty. The problems are represented by stochastic differential games of fully coupled nonlinear mean-field forward-backward stochastic differential equations (MF-FBSDEs) with two players. We rewrite the model uncertainty as ambiguity about the law <span><math><mrow><mi>L</mi><mo>(</mo><mi>X</mi><mo>(</mo><mi>t</mi><mo>)</mo><mo>)</mo></mrow></math></span> of the state <em>X</em>(<em>t</em>) at time <em>t</em>. We give stochastic maximum principles for these problems. Moreover, we extend our approach to infinite horizon stochastic differential games. As an application, we apply these results to a zero-sum linear quadratic stochastic differential game and obtain a saddle point for the game.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101447"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145926233","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":"DREM-based predefined-time adaptive learning control for nonlinear systems with actuator faults and input delay","authors":"Mohamed Kharrat","doi":"10.1016/j.ejcon.2025.101426","DOIUrl":"10.1016/j.ejcon.2025.101426","url":null,"abstract":"<div><div>This paper addresses the problem of adaptive tracking control for a class of strict-feedback nonlinear systems subject to actuator faults, input delays, and model uncertainties via parameter identification algorithm. To mitigate the adverse effects of input delay, a Pade approximation combined with an intermediate variable is employed. A parameter estimation method utilizing a three-layer transformation is designed to achieve predefined-time convergence while eliminating the need for persistent excitation. To avoid singularities inherent in traditional control laws, a smooth hyperbolic tangent function is integrated into the design. Furthermore, a composite learning framework is introduced within the adaptive dynamic surface control structure, enabling predefined-time error convergence. Lyapunov-based analysis confirms semi-global uniformly predefined-time boundedness of the closed-loop system. Simulation results validate the effectiveness and robustness of the proposed control strategy.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101426"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738181","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}
Wei Mao , Xiaomu Ling , Jie He , Fuke Wu , Xuerong Mao
{"title":"Asymptotic boundedness and exponential stability of neutral stochastic functional differential equations with unbounded delay","authors":"Wei Mao , Xiaomu Ling , Jie He , Fuke Wu , Xuerong Mao","doi":"10.1016/j.ejcon.2025.101423","DOIUrl":"10.1016/j.ejcon.2025.101423","url":null,"abstract":"<div><div>This paper is concerned with the asymptotic boundedness and exponential stability of neutral stochastic functional differential equations with unbounded delay. Under the Khasminskii-type condition, we establish the LaSalle theorem for the underlying equations to locate its limit set, and obtain some criteria on the asymptotic boundedness and almost sure stability. By means of the Lyapunov function, some conditions are given for the moment asymptotic boundedness and exponential stability of neutral stochastic functional differential equations with unbounded delay. These conditions also indicate the almost sure exponential stability is robust with respect to stochastic perturbation. Finally, two examples are presented to illustrate our results.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101423"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145665378","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}
Cong Toai Truong , Trung Dat Phan , Van Tu Duong , Huy Hung Nguyen , Tan Tien Nguyen
{"title":"L1 Adaptive control for a low-cost bag-valve-mask ventilator in volume-controlled continuous mandatory ventilation mode: Design, simulation and experiment","authors":"Cong Toai Truong , Trung Dat Phan , Van Tu Duong , Huy Hung Nguyen , Tan Tien Nguyen","doi":"10.1016/j.ejcon.2025.101409","DOIUrl":"10.1016/j.ejcon.2025.101409","url":null,"abstract":"<div><div>This study introduces a novel hybrid control strategy for bag-valve-mask ventilator (BVMV) operating in volume-controlled continuous mandatory ventilation (VC<img>CMV) mode, targeting challenges related to tidal volume regulation, system uncertainties, and variability in airway resistance and lung compliance. Specifically, the control strategy comprises three sub-controllers for governing state transitions, respiratory pacing, and precise tidal volume tracking. These strategies were rigorously tested through hardware-in-the-loop simulations and experimental test validations. The control system effectively tracks both parabolic and sinusoidal reference waveforms, achieving tidal volume errors consistently below 5 %. Experimental results from 24 lung model configurations with airway resistance (<span><math><mi>R</mi></math></span>) ranging from 5 to 50 <span><math><mrow><mi>c</mi><mi>m</mi><msub><mi>H</mi><mn>2</mn></msub><mi>O</mi><mo>.</mo><mi>s</mi><mo>.</mo><msup><mrow><mi>l</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math></span> and lung compliance (<span><math><mi>C</mi></math></span>) varying from 0.01 to 0.1 <span><math><mrow><mi>l</mi><mo>.</mo><mi>c</mi><mi>m</mi><msub><mi>H</mi><mn>2</mn></msub><msup><mrow><mi>O</mi></mrow><mrow><mo>−</mo><mn>1</mn></mrow></msup></mrow></math></span>, demonstrate the system’s robustness and adaptability. Furthermore, the BVMV successfully adjusts to changing respiratory parameters, including tidal volume variations from 350<span><math><mrow><mspace></mspace><mi>m</mi><mi>l</mi></mrow></math></span> to 500 <span><math><mrow><mi>m</mi><mi>l</mi></mrow></math></span>, respiration rates from 10 <span><math><mrow><mi>b</mi><mi>p</mi><mi>m</mi></mrow></math></span> to 15 <span><math><mrow><mi>b</mi><mi>p</mi><mi>m</mi></mrow></math></span>, and inspiratory-to-expiratory ratios from 1:4 to 1:2, while maintaining tidal volume accuracy under varying dynamics. The proposed framework ensures reliable operation with minimal steady-state error, offering a practical and cost-effective mechanical ventilation solution for resource-constrained environments.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101409"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145977323","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":"Continuous trajectory planning for non-convex utility functions using hybrid optimization","authors":"He Hao , Daniel Silvestre , Carlos Silvestre","doi":"10.1016/j.ejcon.2025.101425","DOIUrl":"10.1016/j.ejcon.2025.101425","url":null,"abstract":"<div><div>Efficient trajectory generation is essential for applications such as environmental monitoring using autonomous systems, where navigating complex, non-convex environments poses significant challenges. In this paper, we introduce a novel hybrid continuous optimization method that extends gradient techniques to continuous-time frameworks for trajectory planning in non-convex landscapes. The method combines adaptive step-size adjustments with momentum-based gradient techniques, enabling robust navigation through plateau regions and accurate convergence to optimized trajectories. We apply the method to drone trajectory optimization in environments modeled by Gaussian Mixture Models (GMMs), specifically focusing on wildfire monitoring in northern Mexico. The proposed approach generates smooth trajectories and achieves faster convergence when compared to traditional discrete and continuous methods without the hybrid adaptation. Simulation results showcase the method’s potential for broader applications in control systems and other domains requiring optimization in high-dimensional non-convex environments.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101425"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145791112","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":"Settling time analysis of a continuum model with finite-time target tracking","authors":"Woojoo Shim , Hyunjin Ahn","doi":"10.1016/j.ejcon.2025.101424","DOIUrl":"10.1016/j.ejcon.2025.101424","url":null,"abstract":"<div><div>We provide a sufficient framework concerning finite-time tracking to a predetermined target of continuum agents. For this, we propose a continuum model derived via the continuum limit of a multi-agent system studied in existing literature. By employing a suitable Lyapunov functional, along with several finite-time stability frameworks, the non-smooth LaSalle invariance principle, and settling time analysis, we establish the desired finite-time tracking under admissible data consisting of initial data, kernel functionals, and system parameters. Finally, we complement and validate our theoretical analysis with numerical simulations that illustrate the results and highlight their practical implications.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101424"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145738134","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":"Uncertain stochastic optimal control problems based on backward stochastic difference equations and forward uncertain difference equations","authors":"Xin Chen , Liu He , Kang-Zhi Liu , Bo Zhang","doi":"10.1016/j.ejcon.2025.101439","DOIUrl":"10.1016/j.ejcon.2025.101439","url":null,"abstract":"<div><div>Forward uncertain difference equations and backward stochastic difference equations are two distinct types of dynamic systems. The former is based on uncertainty theory, while the latter is formulated within probability theory. This paper investigates optimal control problems involving both types of equations. By relationships among uncertain expectation, probabilistic expectation, and chance expectation, we develop the framework of chance theory to handle uncertain stochastic optimal control problems of such hybrid systems. Using an equivalent transformation method, we convert the problems into deterministic difference equations solving problems. We then derive analytical solutions for three types of optimal control problems through backward induction. Furthermore, we explore the impact of different computation orders of uncertain and probabilistic expectations. Numerical examples are provided to illustrate key differences and demonstrate the effectiveness of the proposed method.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101439"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145884629","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}
José Raimundo de Oliveira Jr. , Bismark Claure Torrico , Felipe José de Sousa Vasconcelos , Fabrício Gonzalez Nogueira , Tito Luís Maia Santos
{"title":"Reduced-order FESO-based predictor for time-delay LTI systems","authors":"José Raimundo de Oliveira Jr. , Bismark Claure Torrico , Felipe José de Sousa Vasconcelos , Fabrício Gonzalez Nogueira , Tito Luís Maia Santos","doi":"10.1016/j.ejcon.2025.101444","DOIUrl":"10.1016/j.ejcon.2025.101444","url":null,"abstract":"<div><div>This article proposes a predictor based on a reduced-order functional extended state observer (FESO) for linear time-invariant (LTI) systems with input delay. A disturbance model is defined based on the types of disturbances to be rejected at steady state, such as sinusoidal, step-like, ramp-like, as well as higher-order polynomials, which are commonly found in practical applications. Thereafter, an FESO is designed to estimate both the delayed unmeasured process and disturbance states, which, along with the measured states, are used by the predictor to compensate the time delay, and then a finite spectrum assignment (FSA) state-feedback controller is computed based on the delay-free model. The tuning of the predictor is proposed for two disturbance rejection scenarios, the first focusing on the prediction error performance and the second on closed-loop robustness. Simulation results show better performance of the proposed predictor compared to recent methods in the literature. Additionally, frequency-domain analyses are provided to further validate its robustness and performance characteristics, as well as the influence of measurement noise.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"87 ","pages":"Article 101444"},"PeriodicalIF":2.6,"publicationDate":"2026-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145926232","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}