Pub Date : 2025-11-01Epub Date: 2025-07-23DOI: 10.1016/j.ejcon.2025.101290
Mohammad Fahim Shakib, Alessio Moreschini, Giordano Scarciotti
This article introduces a novel model reduction method that preserves dissipativity properties while achieving moment matching at user-specified interpolation points. Building on the time-domain moment matching framework, our approach leverages the flexibility of free parameters in reduced-order models to ensure the preservation of -dissipativity, independent of the state dimension of the reduced model or the location of the interpolation points. By preserving dissipativity, this method enables more reliable and efficient reduced-order models for large-scale systems, while maintaining key physical and stability properties. Numerical examples are presented to illustrate the effectiveness and applicability of the proposed approach.
{"title":"Dissipativity-preserving model reduction for linear systems using moment matching","authors":"Mohammad Fahim Shakib, Alessio Moreschini, Giordano Scarciotti","doi":"10.1016/j.ejcon.2025.101290","DOIUrl":"10.1016/j.ejcon.2025.101290","url":null,"abstract":"<div><div>This article introduces a novel model reduction method that preserves dissipativity properties while achieving moment matching at user-specified interpolation points. Building on the time-domain moment matching framework, our approach leverages the flexibility of free parameters in reduced-order models to ensure the preservation of <span><math><mrow><mo>(</mo><mi>Q</mi><mo>,</mo><mi>S</mi><mo>,</mo><mi>R</mi><mo>)</mo></mrow></math></span>-dissipativity, independent of the state dimension of the reduced model or the location of the interpolation points. By preserving dissipativity, this method enables more reliable and efficient reduced-order models for large-scale systems, while maintaining key physical and stability properties. Numerical examples are presented to illustrate the effectiveness and applicability of the proposed approach.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101290"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645525","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 : 2025-11-01Epub Date: 2025-07-25DOI: 10.1016/j.ejcon.2025.101296
Youssef Ait Si , Antoine Girard , Adnane Saoud
This paper addresses the challenge of ensuring robustness in the presence of system perturbations for symbolic control techniques. Given a discrete-time control system that is related to its symbolic model by an alternating simulation relation. In this paper, we focus on computing the maximum robustness margin under which the symbolic model remains valid for a perturbed-version of the discrete-time control system. We first show that symbolic models are inherently equipped with a certain free robustness margins. We then provide constructive procedures to compute uniform and non-uniform (state and input dependent) robustness margins. We also show that the tightness of the robustness margin depends on the tightness of the reachability technique used to compute the symbolic model. We then explain how the computed robustness margin can be used for the sake of controller synthesis. Finally, we present two illustrative examples to demonstrate the effectiveness of our approach.
{"title":"Symbolic control: Unveiling free robustness margins","authors":"Youssef Ait Si , Antoine Girard , Adnane Saoud","doi":"10.1016/j.ejcon.2025.101296","DOIUrl":"10.1016/j.ejcon.2025.101296","url":null,"abstract":"<div><div>This paper addresses the challenge of ensuring robustness in the presence of system perturbations for symbolic control techniques. Given a discrete-time control system that is related to its symbolic model by an alternating simulation relation. In this paper, we focus on computing the maximum robustness margin under which the symbolic model remains valid for a perturbed-version of the discrete-time control system. We first show that symbolic models are inherently equipped with a certain free robustness margins. We then provide constructive procedures to compute uniform and non-uniform (state and input dependent) robustness margins. We also show that the tightness of the robustness margin depends on the tightness of the reachability technique used to compute the symbolic model. We then explain how the computed robustness margin can be used for the sake of controller synthesis. Finally, we present two illustrative examples to demonstrate the effectiveness of our approach.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101296"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645600","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}
The assessment of robust stability and performance of systems affected by Linear Time-Invariant (LTI) and Linear Time-Varying (LTV) uncertainties with bounded rates of variation is still an open problem and yet of importance. To this purpose, Integral Quadratic Constraints (IQCs) can be used to derive sufficient conditions in terms of Frequency Domain Inequalities (FDIs) involving both dynamic and static multipliers. In this paper, a new fully frequency-based approach is proposed which offers two main advantages. Firstly, LTI uncertainties are characterized by the independent frequency-by-frequency multipliers of -analysis, which are much less conservative than those used in IQC approaches, for which a basis must be chosen arbitrarily. Secondly, sub-optimal (but relevant) solutions can be obtained by iteratively optimizing the static and frequency-dependent multipliers. This lightens the computational load and makes the method more applicable to real systems.
{"title":"Robust stability and performance analysis in the presence of LTI and LTV uncertainties with bounded rates of variation","authors":"Tommaso Casati , Clément Roos , Jean-Marc Biannic , Hélène Evain","doi":"10.1016/j.ejcon.2025.101298","DOIUrl":"10.1016/j.ejcon.2025.101298","url":null,"abstract":"<div><div>The assessment of robust stability and performance of systems affected by Linear Time-Invariant (LTI) and Linear Time-Varying (LTV) uncertainties with bounded rates of variation is still an open problem and yet of importance. To this purpose, Integral Quadratic Constraints (IQCs) can be used to derive sufficient conditions in terms of Frequency Domain Inequalities (FDIs) involving both dynamic and static multipliers. In this paper, a new fully frequency-based approach is proposed which offers two main advantages. Firstly, LTI uncertainties are characterized by the independent frequency-by-frequency multipliers of <span><math><mi>μ</mi></math></span>-analysis, which are much less conservative than those used in IQC approaches, for which a basis must be chosen arbitrarily. Secondly, sub-optimal (but relevant) solutions can be obtained by iteratively optimizing the static and frequency-dependent multipliers. This lightens the computational load and makes the method more applicable to real systems.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101298"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645601","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 : 2025-11-01Epub Date: 2025-07-24DOI: 10.1016/j.ejcon.2025.101334
Beatrice M. Bălăceanu , Florin Stoican , Bogdan D. Ciubotaru , Ionela Prodan
The aim of this paper is to provide a Derivative-free Kalman Filter (DKF) for a six-wheeled rover, as an alternative to the classical Kalman Filters. The DKF removes the risks which the Extended Kalman Filter (EKF), based on the computation of Jacobians, pose when implemented on platforms with limited numerical precision. It is also more computationally efficient than the Unscented Kalman filters, while retaining similar performance. The DKF is designed for an Ackermann steered six-wheeled rover which has nonlinear, coupled longitudinal and lateral dynamics. Starting from the first principles of the two axle car, we derive the rover’s mathematical model, which we then express through a flat-output representation. Using the resulting Brunovsky form, we provide both a position estimate (via the DKF) and a control module (a reference tracking variation). The model and its ancillary blocks are tested in simulation to validate the flat representation’s consistency and the performance of the navigation and control actions.
{"title":"Derivative-free Kalman filtering for a six-wheeled rover","authors":"Beatrice M. Bălăceanu , Florin Stoican , Bogdan D. Ciubotaru , Ionela Prodan","doi":"10.1016/j.ejcon.2025.101334","DOIUrl":"10.1016/j.ejcon.2025.101334","url":null,"abstract":"<div><div>The aim of this paper is to provide a Derivative-free Kalman Filter (DKF) for a six-wheeled rover, as an alternative to the classical Kalman Filters. The DKF removes the risks which the Extended Kalman Filter (EKF), based on the computation of Jacobians, pose when implemented on platforms with limited numerical precision. It is also more computationally efficient than the Unscented Kalman filters, while retaining similar performance. The DKF is designed for an Ackermann steered six-wheeled rover which has nonlinear, coupled longitudinal and lateral dynamics. Starting from the first principles of the two axle car, we derive the rover’s mathematical model, which we then express through a flat-output representation. Using the resulting Brunovsky form, we provide both a position estimate (via the DKF) and a control module (a reference tracking variation). The model and its ancillary blocks are tested in simulation to validate the flat representation’s consistency and the performance of the navigation and control actions.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101334"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645420","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 : 2025-11-01Epub Date: 2025-08-22DOI: 10.1016/j.ejcon.2025.101324
Beniamino Di Lorenzo , Gian Carlo Maffettone , Mario di Bernardo
In this paper, we address the large-scale shepherding control problem using a density control strategy based on continuification. We consider a scenario in which a large group of follower agents (targets) must be confined within a designated goal region through indirect interactions with a controllable set of leader agents (herders). Our approach transforms the microscopic agent-based dynamics into a macroscopic continuum model. This formulation enables efficient, scalable control design for the herders’ behavior, with guarantees of global convergence. The approach is validated through comprehensive numerical simulations and novel mixed-reality experiments integrating physical and virtual agents, demonstrating both its effectiveness and practical applicability.
{"title":"A continuification-based control solution for large-scale shepherding","authors":"Beniamino Di Lorenzo , Gian Carlo Maffettone , Mario di Bernardo","doi":"10.1016/j.ejcon.2025.101324","DOIUrl":"10.1016/j.ejcon.2025.101324","url":null,"abstract":"<div><div>In this paper, we address the large-scale shepherding control problem using a density control strategy based on continuification. We consider a scenario in which a large group of follower agents (targets) must be confined within a designated goal region through indirect interactions with a controllable set of leader agents (herders). Our approach transforms the microscopic agent-based dynamics into a macroscopic continuum model. This formulation enables efficient, scalable control design for the herders’ behavior, with guarantees of global convergence. The approach is validated through comprehensive numerical simulations and novel mixed-reality experiments integrating physical and virtual agents, demonstrating both its effectiveness and practical applicability.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101324"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645418","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 : 2025-11-01Epub Date: 2025-09-02DOI: 10.1016/j.ejcon.2025.101361
Debojyoti Biswas , Eduardo D. Sontag , Noah J. Cowan
We consider a general class of translation-invariant systems with a specific category of output nonlinearities motivated by biological sensing. We show that no dynamic output feedback can stabilize this class of systems to an isolated equilibrium point. To overcome this fundamental limitation, we propose a simple control scheme that includes a low-amplitude periodic forcing function akin to so-called “active sensing” in biology, together with nonlinear output feedback. Our analysis shows that this approach leads to the emergence of an exponentially stable limit cycle. These findings offer a provably stable active sensing strategy and may thus help to rationalize the active sensing movements animals make when performing certain motor behaviors.
{"title":"An exact active sensing strategy for a class of bio-inspired systems","authors":"Debojyoti Biswas , Eduardo D. Sontag , Noah J. Cowan","doi":"10.1016/j.ejcon.2025.101361","DOIUrl":"10.1016/j.ejcon.2025.101361","url":null,"abstract":"<div><div>We consider a general class of translation-invariant systems with a specific category of output nonlinearities motivated by biological sensing. We show that no dynamic output feedback can stabilize this class of systems to an isolated equilibrium point. To overcome this fundamental limitation, we propose a simple control scheme that includes a low-amplitude periodic forcing function akin to so-called “active sensing” in biology, together with nonlinear output feedback. Our analysis shows that this approach leads to the emergence of an exponentially stable limit cycle. These findings offer a provably stable active sensing strategy and may thus help to rationalize the active sensing movements animals make when performing certain motor behaviors.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101361"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645539","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 : 2025-11-01Epub Date: 2025-07-29DOI: 10.1016/j.ejcon.2025.101293
Erik van den Eshof, Jorn van Kampen, Mauro Salazar
This paper presents an energy and thermal management system for electric race cars, where we tune a lift-off-throttle signal for the driver in real-time to respect energy budgets and thermal constraints. First, we compute globally optimal state trajectories in a real-time capable solving time, optimizing a 47 km horizon in 2.5 s. Next, for safe operation with a human driver, we simplify it to a maximum-power-or-coast operation in full-throttle regions (straights). Thereby, both the positions from which the vehicle should start coasting and the optimal throttle map are subject to tuning. To this end, we define the coasting sections with a threshold on the costate trajectory of the kinetic energy from the optimal solution. We devise an online implementable bisection algorithm to tune this threshold and adapt it using PI feedback. Finally, we validate the proposed approach for an electric endurance race car and compare three variants with varying implementation challenges: one re-optimizing and updating the kinetic costate trajectory online, one applying only the bisection algorithm online, and one relying exclusively on feedback control. Our results show that, under typical racing disturbances, our energy management achieves stint times ranging from less than 0.056% to 0.22% slower compared to offline optimization with a priori disturbance knowledge, paving the way for on-board implementations and testing.
{"title":"Human-in-the-loop energy and thermal management for electric racing cars through optimization-based control","authors":"Erik van den Eshof, Jorn van Kampen, Mauro Salazar","doi":"10.1016/j.ejcon.2025.101293","DOIUrl":"10.1016/j.ejcon.2025.101293","url":null,"abstract":"<div><div>This paper presents an energy and thermal management system for electric race cars, where we tune a lift-off-throttle signal for the driver in real-time to respect energy budgets and thermal constraints. First, we compute globally optimal state trajectories in a real-time capable solving time, optimizing a 47 km horizon in 2.5 s. Next, for safe operation with a human driver, we simplify it to a maximum-power-or-coast operation in full-throttle regions (straights). Thereby, both the positions from which the vehicle should start coasting and the optimal throttle map are subject to tuning. To this end, we define the coasting sections with a threshold on the costate trajectory of the kinetic energy from the optimal solution. We devise an online implementable bisection algorithm to tune this threshold and adapt it using PI feedback. Finally, we validate the proposed approach for an electric endurance race car and compare three variants with varying implementation challenges: one re-optimizing and updating the kinetic costate trajectory online, one applying only the bisection algorithm online, and one relying exclusively on feedback control. Our results show that, under typical racing disturbances, our energy management achieves stint times ranging from less than 0.056% to 0.22% slower compared to offline optimization with a priori disturbance knowledge, paving the way for on-board implementations and testing.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101293"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645540","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 : 2025-11-01Epub Date: 2025-07-21DOI: 10.1016/j.ejcon.2025.101338
Tarun Pati , Maral Mordad , Sze Zheng Yong
This article introduces polytopic observer designs for discrete- and continuous-time linear systems with bounded uncertainties. In particular, by noting that polytopes are equivalent to constrained zonotopes with intervals in their generator spaces, we propose two choices of generators to fix the order of the polytopic observer. Moreover, this observation enables us to leverage existing interval observers to find interval estimates in the augmented generator space before projecting them onto the original state space as polytopes/constrained zonotopes. Further, we prove that the polytopic observers are at least as good as interval observers for the same uncertain linear system in terms of the volumes of their set estimates and the error system gains. As a side contribution, we also introduce a more computationally efficient approach to obtain interval observer gains. Finally, we demonstrate and discuss the effectiveness of the proposed approach on a broad range of examples.
{"title":"Polytopic observer designs for uncertain linear systems","authors":"Tarun Pati , Maral Mordad , Sze Zheng Yong","doi":"10.1016/j.ejcon.2025.101338","DOIUrl":"10.1016/j.ejcon.2025.101338","url":null,"abstract":"<div><div>This article introduces polytopic observer designs for discrete- and continuous-time linear systems with bounded uncertainties. In particular, by noting that polytopes are equivalent to constrained zonotopes with intervals in their generator spaces, we propose two choices of generators to fix the order of the polytopic observer. Moreover, this observation enables us to leverage existing interval observers to find interval estimates in the augmented generator space before projecting them onto the original state space as polytopes/constrained zonotopes. Further, we prove that the polytopic observers are at least as good as interval observers for the same uncertain linear system in terms of the volumes of their set estimates and the error system gains. As a side contribution, we also introduce a more computationally efficient approach to obtain interval observer gains. Finally, we demonstrate and discuss the effectiveness of the proposed approach on a broad range of examples.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101338"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645529","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 : 2025-11-01Epub Date: 2025-07-21DOI: 10.1016/j.ejcon.2025.101337
Joyce Lai, Peter Seiler
Disturbance rejection in high-precision control applications can be significantly improved upon via online convex optimization (OCO). This includes classical techniques such as recursive least squares (RLS) and more recent, regret-based formulations. However, these methods can cause instabilities in the presence of model uncertainty. This paper introduces a safety filter for systems with OCO in the form of adaptive finite impulse response (FIR) filtering to ensure robust disturbance rejection. The safety filter enforces a robust stability constraint on the FIR coefficients while minimally altering the OCO command in the -norm cost. Additionally, we show that the induced -norm allows for easy online implementation of the safety filter by directly limiting the OCO command. The constraint can be tuned to trade off robustness and performance. We provide a simple example to demonstrate the safety filter.
{"title":"Safety filter for robust disturbance rejection via online optimization","authors":"Joyce Lai, Peter Seiler","doi":"10.1016/j.ejcon.2025.101337","DOIUrl":"10.1016/j.ejcon.2025.101337","url":null,"abstract":"<div><div>Disturbance rejection in high-precision control applications can be significantly improved upon via online convex optimization (OCO). This includes classical techniques such as recursive least squares (RLS) and more recent, regret-based formulations. However, these methods can cause instabilities in the presence of model uncertainty. This paper introduces a safety filter for systems with OCO in the form of adaptive finite impulse response (FIR) filtering to ensure robust disturbance rejection. The safety filter enforces a robust stability constraint on the FIR coefficients while minimally altering the OCO command in the <span><math><mi>∞</mi></math></span>-norm cost. Additionally, we show that the induced <span><math><msub><mrow><mi>ℓ</mi></mrow><mrow><mi>∞</mi></mrow></msub></math></span>-norm allows for easy online implementation of the safety filter by directly limiting the OCO command. The constraint can be tuned to trade off robustness and performance. We provide a simple example to demonstrate the safety filter.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101337"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645528","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 : 2025-11-01Epub Date: 2025-08-16DOI: 10.1016/j.ejcon.2025.101333
Emilio Corcione , Michael Kübler , Magnus Benke , Stephanie Mrzyglod , Jixing Zhang , Oliver Sawodny , Jörg Wrachtrup , Cristina Tarín
We present a novel approach to processing periodic signals with non-stationary fundamental frequency. These quasi-periodic signals feature a perpetually recurring underlying signal pattern and arise in various fields of science and engineering. The proposed method integrates a recursive extraction of the signal pattern with dynamic tracking of the instantaneous phase to effectively suppress measurement noise without prior knowledge of the signal characteristics or the frequency variation. The performance is showcased both in simulation and using experimental measurements of the cardiac cycle obtained by a nitrogen-vacancy diamond quantum sensor. Overall, high-fidelity signal reconstruction and convincing pattern learning is achieved, even in the presence of complex non-linear disturbances and non-Gaussian noise. Conclusively, the proposed technique constitutes a flexible and efficient solution, addressing limitations of existing methods and offering real-world applicability.
{"title":"Adaptive modelling and filtering of periodic signals with non-stationary fundamental frequency","authors":"Emilio Corcione , Michael Kübler , Magnus Benke , Stephanie Mrzyglod , Jixing Zhang , Oliver Sawodny , Jörg Wrachtrup , Cristina Tarín","doi":"10.1016/j.ejcon.2025.101333","DOIUrl":"10.1016/j.ejcon.2025.101333","url":null,"abstract":"<div><div>We present a novel approach to processing periodic signals with non-stationary fundamental frequency. These quasi-periodic signals feature a perpetually recurring underlying signal pattern and arise in various fields of science and engineering. The proposed method integrates a recursive extraction of the signal pattern with dynamic tracking of the instantaneous phase to effectively suppress measurement noise without prior knowledge of the signal characteristics or the frequency variation. The performance is showcased both in simulation and using experimental measurements of the cardiac cycle obtained by a nitrogen-vacancy diamond quantum sensor. Overall, high-fidelity signal reconstruction and convincing pattern learning is achieved, even in the presence of complex non-linear disturbances and non-Gaussian noise. Conclusively, the proposed technique constitutes a flexible and efficient solution, addressing limitations of existing methods and offering real-world applicability.</div></div>","PeriodicalId":50489,"journal":{"name":"European Journal of Control","volume":"86 ","pages":"Article 101333"},"PeriodicalIF":2.6,"publicationDate":"2025-11-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"145645527","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}
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