Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101326
Jiayue Wang , Hamid Reza Feyzmahdavian, Soroush Rastegarpour, Alf J. Isaksson
This paper presents a novel dual-agent reinforcement learning (Rl) framework designed to improve the robustness of Rl-based control in industrial processes. To address the challenges posed by modeling errors and uncertainties, the framework draws inspiration from the robust control principles of tube Mpc. It features two specialized Rl agents: a nominal agent trained on an idealized process model in a simulated environment and a corrective agent trained to compensate for the discrepancies between the simulated model and actual system dynamics. To ensure realistic error compensation without direct access to the physical process, the simulation is systematically perturbed during training using parametric variations and Gaussian disturbances. A comprehensive case study demonstrates the effectiveness of the proposed method, highlighting its ability to maintain stable, reliable, and adaptive control performance under uncertain operating conditions in industrial applications.
{"title":"Robust tube-based reinforcement learning control for systems with parametric uncertainty","authors":"Jiayue Wang , Hamid Reza Feyzmahdavian, Soroush Rastegarpour, Alf J. Isaksson","doi":"10.1016/j.ejcon.2025.101326","DOIUrl":"10.1016/j.ejcon.2025.101326","url":null,"abstract":"<div><div>This paper presents a novel dual-agent reinforcement learning (<span>Rl</span>) framework designed to improve the robustness of <span>Rl</span>-based control in industrial processes. To address the challenges posed by modeling errors and uncertainties, the framework draws inspiration from the robust control principles of tube <span>Mpc</span>. It features two specialized <span>Rl</span> agents: a nominal agent trained on an idealized process model in a simulated environment and a corrective agent trained to compensate for the discrepancies between the simulated model and actual system dynamics. To ensure realistic error compensation without direct access to the physical process, the simulation is systematically perturbed during training using parametric variations and Gaussian disturbances. A comprehensive case study demonstrates the effectiveness of the proposed method, highlighting its ability to maintain stable, reliable, and adaptive control performance under uncertain operating conditions in industrial applications.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101326"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645524","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101287
Lorenzo Govoni, Andrea Cristofaro
This paper introduces the notion of input-to-task redundancy in multi-agent systems and extends the dynamic control allocation paradigm to input-constrained multi-agent systems. In particular, it is shown that a proper selection of a subset of the system outputs can entail a weak redundancy condition with respect to a given task to be executed, thereby providing additional degrees of freedom to cope with potential input constraints. Moreover, we propose a way of quantitatively characterizing the additional freedom in the controllability of the system by means of a redundancy degree suitably defined. The efficacy of the approach has been tested and validated by numerical simulations in a platooning application.
{"title":"Input-to-task redundancy and dynamic control allocation for multi-agent systems","authors":"Lorenzo Govoni, Andrea Cristofaro","doi":"10.1016/j.ejcon.2025.101287","DOIUrl":"10.1016/j.ejcon.2025.101287","url":null,"abstract":"<div><div>This paper introduces the notion of input-to-task redundancy in multi-agent systems and extends the dynamic control allocation paradigm to input-constrained multi-agent systems. In particular, it is shown that a proper selection of a subset of the system outputs can entail a weak redundancy condition with respect to a given task to be executed, thereby providing additional degrees of freedom to cope with potential input constraints. Moreover, we propose a way of quantitatively characterizing the additional freedom in the controllability of the system by means of a <em>redundancy degree</em> suitably defined. The efficacy of the approach has been tested and validated by numerical simulations in a platooning application.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101287"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645410","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101325
Anusree Rajan , Kushagra Parmeshwar , Pavankumar Tallapragada
This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear combination of a fixed set of linearly independent scalar functions. The controller updates the coefficients of the parameterized control input in an event-triggered manner so as to minimize a quadratic cost function subject to quadratic constraints and communicates the same to the actuator. We design an event-triggering rule that guarantees global uniform ultimate boundedness of trajectories of the closed loop system and non-trivial inter-event times. We illustrate our results through a numerical example and we also compare the performance of the proposed control method with other existing control methods in the literature.
{"title":"A control Lyapunov function approach to event-triggered parameterized control for discrete-time linear systems","authors":"Anusree Rajan , Kushagra Parmeshwar , Pavankumar Tallapragada","doi":"10.1016/j.ejcon.2025.101325","DOIUrl":"10.1016/j.ejcon.2025.101325","url":null,"abstract":"<div><div>This paper proposes an event-triggered parameterized control method using a control Lyapunov function approach for discrete time linear systems with external disturbances. In this control method, each control input to the plant is a linear combination of a fixed set of linearly independent scalar functions. The controller updates the coefficients of the parameterized control input in an event-triggered manner so as to minimize a quadratic cost function subject to quadratic constraints and communicates the same to the actuator. We design an event-triggering rule that guarantees global uniform ultimate boundedness of trajectories of the closed loop system and non-trivial inter-event times. We illustrate our results through a numerical example and we also compare the performance of the proposed control method with other existing control methods in the literature.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101325"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645523","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101299
Michelangelo Faleschini , Damiano Rotondo , Maria Letizia Corradini
This paper presents the application of a recently proposed data-driven Linear Parameter Varying (LPV) controller design method to the Quanser Aero. The employed approach is based on Quadratic Matrix Inequalities (QMIs) and the strict matrix S-lemma. The existing approach is tweaked with the aim of forcing a higher control aggressiveness. Simulation and experimental results involving stabilization and multi-step-reference tracking are used to illustrate the validity and performance of the design.
{"title":"Data-driven LPV control based on Quadratic Matrix Inequalities: Experimental application to the Quanser Aero","authors":"Michelangelo Faleschini , Damiano Rotondo , Maria Letizia Corradini","doi":"10.1016/j.ejcon.2025.101299","DOIUrl":"10.1016/j.ejcon.2025.101299","url":null,"abstract":"<div><div>This paper presents the application of a recently proposed data-driven Linear Parameter Varying (LPV) controller design method to the Quanser Aero. The employed approach is based on Quadratic Matrix Inequalities (QMIs) and the strict matrix S-lemma. The existing approach is tweaked with the aim of forcing a higher control aggressiveness. Simulation and experimental results involving stabilization and multi-step-reference tracking are used to illustrate the validity and performance of the design.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101299"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645543","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101288
Ziling Li , Yiming Wan , Xueqian Wang , Feng Xu
This paper extends an asymptotic active fault diagnosis (AFD) framework using a bank of observers to linear time-invariant (LTI) systems under the effect of hybrid bounded and Gaussian uncertainties. Each observer is designed to match a healthy/faulty actuator mode. Bounded uncertainties are represented using zonotopes, while Gaussian uncertainties are modeled as ellipsoids based on the specified confidence level. The output confidence domains are expressed as the Minkowski sum of a zonotope and an ellipsoid, i.e., an ellipsotope. At each step, the proposed AFD method designs an input and a group of observer gains such that output confidence domains estimated by observers at the next step keep away from each other as far as possible. By designing inputs and injecting them into the system and optimizing observer gains step by step, AFD is eventually achieved. At the end of this paper, the effectiveness of the proposed method is illustrated by examples.
{"title":"Observer-based asymptotic active fault diagnosis under hybrid bounded and Gaussian uncertainties","authors":"Ziling Li , Yiming Wan , Xueqian Wang , Feng Xu","doi":"10.1016/j.ejcon.2025.101288","DOIUrl":"10.1016/j.ejcon.2025.101288","url":null,"abstract":"<div><div>This paper extends an asymptotic active fault diagnosis (AFD) framework using a bank of observers to linear time-invariant (LTI) systems under the effect of hybrid bounded and Gaussian uncertainties. Each observer is designed to match a healthy/faulty actuator mode. Bounded uncertainties are represented using zonotopes, while Gaussian uncertainties are modeled as ellipsoids based on the specified confidence level. The output confidence domains are expressed as the Minkowski sum of a zonotope and an ellipsoid, i.e., an ellipsotope. At each step, the proposed AFD method designs an input and a group of observer gains such that output confidence domains estimated by observers at the next step keep away from each other as far as possible. By designing inputs and injecting them into the system and optimizing observer gains step by step, AFD is eventually achieved. At the end of this paper, the effectiveness of the proposed method is illustrated by examples.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101288"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645598","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101283
Luca Ballotta, Andrea Peruffo, Riccardo M.G. Ferrari, Manuel Mazo Jr.
Model-based fault detection identifies anomalies by comparing a system’s output with the prediction from a model. Although such a technique can be very powerful, it may suffer from the computational complexity of its underlying models, especially for large systems. An alternative approach that circumvents this cost increase uses barrier functions, which abstract the system’s behaviour into a single value. In this paper, we propose a fault detection mechanism via output-based barrier functions, that does not require to estimate the full state, copes with noisy processes, and is tailored to safety-critical faults as given by a user-defined safe region. We leverage such a mechanism by introducing so-called -fault tolerant sets, which guarantee that a faulty system requires at least time steps before reaching any unsafe state. Our approach is validated through numerical experiments on two systems with linear and nonlinear dynamics, along with the classic three-tank model.
{"title":"Fault detection via output-based barrier functions","authors":"Luca Ballotta, Andrea Peruffo, Riccardo M.G. Ferrari, Manuel Mazo Jr.","doi":"10.1016/j.ejcon.2025.101283","DOIUrl":"10.1016/j.ejcon.2025.101283","url":null,"abstract":"<div><div>Model-based fault detection identifies anomalies by comparing a system’s output with the prediction from a model. Although such a technique can be very powerful, it may suffer from the computational complexity of its underlying models, especially for large systems. An alternative approach that circumvents this cost increase uses barrier functions, which abstract the system’s behaviour into a single value. In this paper, we propose a fault detection mechanism via output-based barrier functions, that does not require to estimate the full state, copes with noisy processes, and is tailored to safety-critical faults as given by a user-defined safe region. We leverage such a mechanism by introducing so-called <span><math><mi>p</mi></math></span>-<em>fault tolerant sets</em>, which guarantee that a faulty system requires at least <span><math><mi>p</mi></math></span> time steps before reaching any unsafe state. Our approach is validated through numerical experiments on two systems with linear and nonlinear dynamics, along with the classic three-tank model.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101283"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645526","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101328
Mohammad Khajenejad
This paper presents an optimal dynamic control framework for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations affected by both state and process noise. Rather than directly stabilizing the uncertain system, we focus on stabilizing an interval observer in a higher-dimensional space, whose states bound the true system states. Our nonlinear dynamic control method introduces added flexibility over traditional static and linear approaches, effectively compensating for system nonlinearities and enabling potentially tighter closed-loop intervals. Additionally, we establish a separation principle that allows for the design of observer and control gains. We further derive tractable matrix inequalities to ensure system stability in the closed-loop configuration. The simulation results show that the proposed dynamic control approach significantly outperforms a static counterpart method.
{"title":"Optimal dynamic control of bounded Jacobian discrete-time systems via interval observers","authors":"Mohammad Khajenejad","doi":"10.1016/j.ejcon.2025.101328","DOIUrl":"10.1016/j.ejcon.2025.101328","url":null,"abstract":"<div><div>This paper presents an optimal dynamic control framework for bounded Jacobian nonlinear discrete-time (DT) systems with nonlinear observations affected by both state and process noise. Rather than directly stabilizing the uncertain system, we focus on stabilizing an interval observer in a higher-dimensional space, whose states bound the true system states. Our nonlinear dynamic control method introduces added flexibility over traditional static and linear approaches, effectively compensating for system nonlinearities and enabling potentially tighter closed-loop intervals. Additionally, we establish a separation principle that allows for the design of observer and control gains. We further derive tractable matrix inequalities to ensure system stability in the closed-loop configuration. The simulation results show that the proposed dynamic control approach significantly outperforms a static counterpart method.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101328"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645412","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101318
Frederik Thiele, Felix Biertümpfel, Harald Pfifer
This paper presents a novel approach for robust periodic attitude control of satellites. Respecting the periodicity of the satellite dynamics in the synthesis allows to achieve constant performance and robustness requirements over the orbit. The proposed design follows a mixed sensitivity control design employing a physically motivated weighting scheme. The controller is calculated using a novel structured linear time-periodic output feedback synthesis with guaranteed optimal -performance. The synthesis poses a convex optimization problem and avoids grid-wise evaluations of coupling conditions inherent for classical periodic -synthesis. Moreover, the controller has a transparent and easy to implement structure. A solar power plant satellite is used to demonstrate the effectiveness of the proposed method for periodic satellite attitude control.
{"title":"A robust periodic controller for spacecraft attitude tracking","authors":"Frederik Thiele, Felix Biertümpfel, Harald Pfifer","doi":"10.1016/j.ejcon.2025.101318","DOIUrl":"10.1016/j.ejcon.2025.101318","url":null,"abstract":"<div><div>This paper presents a novel approach for robust periodic attitude control of satellites. Respecting the periodicity of the satellite dynamics in the synthesis allows to achieve constant performance and robustness requirements over the orbit. The proposed design follows a mixed sensitivity control design employing a physically motivated weighting scheme. The controller is calculated using a novel structured linear time-periodic output feedback synthesis with guaranteed optimal <span><math><msub><mrow><mi>L</mi></mrow><mrow><mn>2</mn></mrow></msub></math></span>-performance. The synthesis poses a convex optimization problem and avoids grid-wise evaluations of coupling conditions inherent for classical periodic <span><math><msub><mrow><mi>H</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span>-synthesis. Moreover, the controller has a transparent and easy to implement structure. A solar power plant satellite is used to demonstrate the effectiveness of the proposed method for periodic satellite attitude control.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101318"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645415","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101366
Daniel Landgraf, Thore Wietzke, Knut Graichen
Switched latent force models (LFMs) are combinations of a first-principles physical model and a Gaussian process prior, where the driving force of the LFM may switch at certain time points. This allows to use expert knowledge to create an analytical state space model that describes large parts of the system behavior, while deviating parts are modeled using data-based methods. This paper proposes the combination of stochastic model predictive control and switched LFMs by reformulating the Gaussian process priors as linear state space models with additive white Gaussian noise. For this purpose, a stochastic optimization problem is formulated that can be solved by a deterministic approximation of the uncertainty propagation and the chance constraints. The switching points of the LFM introduce further uncertainty to the system that must be considered for the prediction of the state trajectories. Therefore, Gaussian mixture models are used to describe the probability density functions of the predicted states. The computation cost of the approach can be reduced by using a separate disturbance predictor, which allows to formulate the optimization problem of the model predictive controller independently of the internal disturbance states. The performance of the proposed method is illustrated for the control of a building energy system.
{"title":"Stochastic model predictive control with switched latent force models","authors":"Daniel Landgraf, Thore Wietzke, Knut Graichen","doi":"10.1016/j.ejcon.2025.101366","DOIUrl":"10.1016/j.ejcon.2025.101366","url":null,"abstract":"<div><div>Switched latent force models (LFMs) are combinations of a first-principles physical model and a Gaussian process prior, where the driving force of the LFM may switch at certain time points. This allows to use expert knowledge to create an analytical state space model that describes large parts of the system behavior, while deviating parts are modeled using data-based methods. This paper proposes the combination of stochastic model predictive control and switched LFMs by reformulating the Gaussian process priors as linear state space models with additive white Gaussian noise. For this purpose, a stochastic optimization problem is formulated that can be solved by a deterministic approximation of the uncertainty propagation and the chance constraints. The switching points of the LFM introduce further uncertainty to the system that must be considered for the prediction of the state trajectories. Therefore, Gaussian mixture models are used to describe the probability density functions of the predicted states. The computation cost of the approach can be reduced by using a separate disturbance predictor, which allows to formulate the optimization problem of the model predictive controller independently of the internal disturbance states. The performance of the proposed method is illustrated for the control of a building energy system.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101366"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645440","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}
Pub Date : 2025-11-01DOI: 10.1016/j.ejcon.2025.101367
Robin Strässer, Julian Berberich, Frank Allgöwer
In this paper, we propose a novel controller design approach for unknown nonlinear systems using the Koopman operator. In particular, we use the recently proposed stability- and feedback-oriented extended dynamic mode decomposition (SafEDMD) architecture to generate a data-driven bilinear surrogate model with certified error bounds. Then, by accounting for the obtained error bounds in a controller design based on the bilinear system, one can guarantee closed-loop stability for the true nonlinear system. While existing approaches over-approximate the bilinearity of the surrogate model, thus introducing conservatism and providing only local guarantees, we explicitly account for the bilinearity by using sum-of-squares (SOS) optimization in the controller design. More precisely, we parametrize a rational controller stabilizing the error-affected bilinear surrogate model and, consequently, the underlying nonlinear system. The resulting SOS optimization problem provides explicit data-driven controller design conditions for unknown nonlinear systems based on semidefinite programming. Our approach significantly reduces conservatism by establishing a larger region of attraction and improved data efficiency. The proposed method is evaluated using numerical examples, demonstrating its advantages over existing approaches.
{"title":"Koopman-based control using sum-of-squares optimization: Improved stability guarantees and data efficiency","authors":"Robin Strässer, Julian Berberich, Frank Allgöwer","doi":"10.1016/j.ejcon.2025.101367","DOIUrl":"10.1016/j.ejcon.2025.101367","url":null,"abstract":"<div><div>In this paper, we propose a novel controller design approach for unknown nonlinear systems using the Koopman operator. In particular, we use the recently proposed stability- and feedback-oriented extended dynamic mode decomposition (SafEDMD) architecture to generate a data-driven bilinear surrogate model with certified error bounds. Then, by accounting for the obtained error bounds in a controller design based on the bilinear system, one can guarantee closed-loop stability for the true nonlinear system. While existing approaches over-approximate the bilinearity of the surrogate model, thus introducing conservatism and providing only local guarantees, we explicitly account for the bilinearity by using sum-of-squares (SOS) optimization in the controller design. More precisely, we parametrize a rational controller stabilizing the error-affected bilinear surrogate model and, consequently, the underlying nonlinear system. The resulting SOS optimization problem provides explicit data-driven controller design conditions for unknown nonlinear systems based on semidefinite programming. Our approach significantly reduces conservatism by establishing a larger region of attraction and improved data efficiency. The proposed method is evaluated using numerical examples, demonstrating its advantages over existing approaches.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101367"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645534","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}