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Towards Model Discovery Using Domain Decomposition and PINNs
IFAC-PapersOnLine Pub Date : 2025-01-01 DOI: 10.1016/j.ifacol.2025.03.008
Tirtho S. Saha , Alexander Heinlein , Cordula Reisch
{"title":"Towards Model Discovery Using Domain Decomposition and PINNs","authors":"Tirtho S. Saha ,&nbsp;Alexander Heinlein ,&nbsp;Cordula Reisch","doi":"10.1016/j.ifacol.2025.03.008","DOIUrl":"10.1016/j.ifacol.2025.03.008","url":null,"abstract":"<div><div>We enhance machine learning algorithms for learning model parameters in complex systems represented by differential equations with domain decomposition methods. The study evaluates the performance of two approaches, namely (vanilla) Physics-Informed Neural Networks (PINNs) and Finite Basis Physics-Informed Neural Networks (FBPINNs), in learning the dynamics of test models with a quasi-stationary longtime behavior. We test the approaches for data sets in different dynamical regions and with varying noise level. As results, the FBPINN approach better captures the overall dynamical behavior compared to the vanilla PINN approach, even in cases with data only from a time domain with quasi-stationary dynamics.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 37-42"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704406","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Empirical Modeling of Unsteady Bulging in Continuous Slab Casters⁎
IFAC-PapersOnLine Pub Date : 2025-01-01 DOI: 10.1016/j.ifacol.2025.03.005
Julian Landauer , Luca Gasparini , Andreas Kugi , Andreas Steinboeck
{"title":"Empirical Modeling of Unsteady Bulging in Continuous Slab Casters⁎","authors":"Julian Landauer ,&nbsp;Luca Gasparini ,&nbsp;Andreas Kugi ,&nbsp;Andreas Steinboeck","doi":"10.1016/j.ifacol.2025.03.005","DOIUrl":"10.1016/j.ifacol.2025.03.005","url":null,"abstract":"<div><div>In the continuous casting of steel slabs, a constant mold level is crucial for the quality of the final products. However, mold level fluctuations may be caused by unsteady bulging, i.e., a time-varying bending of the solidified strand shell between the rolls of the roll array due to variations in the strand shell thickness. A control-oriented model of unsteady bulging is needed to design controllers that should suppress unsteady bulging systematically. Most existing models use complex, detailed, nonlinear formulations, typically requiring high computational costs. Therefore, these models are unsuitable for closed-loop simulations or applications in real-time control. As an alternative, this work presents a novel empirical model that allows parameterization based on usually available measurements from industrial continuous slab casters. The model facilitates fast dynamic simulations of unsteady bulging and its results accurately match measurements.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 19-24"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704403","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Truck bond graph model for sizing the power steering system⁎ 用于确定动力转向系统大小的卡车结合图模型⁎
IFAC-PapersOnLine Pub Date : 2025-01-01 DOI: 10.1016/j.ifacol.2025.03.074
Amine Laaribi , Damien Ébérard , Wilfrid Marquis-Favre , Jean-Marc Blond , Jérôme Chaudet
{"title":"Truck bond graph model for sizing the power steering system⁎","authors":"Amine Laaribi ,&nbsp;Damien Ébérard ,&nbsp;Wilfrid Marquis-Favre ,&nbsp;Jean-Marc Blond ,&nbsp;Jérôme Chaudet","doi":"10.1016/j.ifacol.2025.03.074","DOIUrl":"10.1016/j.ifacol.2025.03.074","url":null,"abstract":"<div><div>In this paper, a bond graph model of a 4 x 2 truck, integrating both multibody and functional approaches is presented. The relevance of the model is assessed by numerical simulation results comparison with regard to a reference multibody model. Then, using the inverse-based methodology in the bond graph framework, the sizing of the electric power steering assistance is addressed. Simulation of the inverse model identifies the performance requirements that the electric power assistance system must meet to respect the specifications.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 433-438"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704139","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Model Reduction of Complex Dynamical Systems: A Sensitivity Based Approach. 复杂动力系统的模型还原：基于灵敏度的方法
IFAC-PapersOnLine Pub Date : 2025-01-01 DOI: 10.1016/j.ifacol.2025.03.078
J.D. (Hans) Stigter , L.G. (Gerard) van Willigenburg
{"title":"Model Reduction of Complex Dynamical Systems: A Sensitivity Based Approach.","authors":"J.D. (Hans) Stigter ,&nbsp;L.G. (Gerard) van Willigenburg","doi":"10.1016/j.ifacol.2025.03.078","DOIUrl":"10.1016/j.ifacol.2025.03.078","url":null,"abstract":"<div><div>For model reduction of non-linear state space models the empirical Gramian framework is frequently used in various disciplines (e.g., chemical and mechanical engineering). Numerical computation of empirical Gramians is known to be computationally demanding and not always very accurate. To remedy these inaccuracies, perturbations from steady states are often used, thereby omitting essential dynamics. By analysing the non-linear model reduction problem from a system identification perspective where the initial conditions x<sub>0</sub> are viewed as parameters, we show that these issues are better handled. In addition, our approach allows for an accurate null-space computation of the well-known observability matrix for non-linear systems. These (lack of) observability results can be verified by solving a well-posed problem (in terms of complexity) with computer algebra software. We demonstrate both reduction and observability of a non-linear dynamical system in a few examples.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 457-462"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704207","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Koopman-based Control for Stochastic Systems: Application to Enhanced Sampling
IFAC-PapersOnLine Pub Date : 2025-01-01 DOI: 10.1016/j.ifacol.2025.03.049
Lei Guo , Jan Heiland , Feliks Nüske
{"title":"Koopman-based Control for Stochastic Systems: Application to Enhanced Sampling","authors":"Lei Guo ,&nbsp;Jan Heiland ,&nbsp;Feliks Nüske","doi":"10.1016/j.ifacol.2025.03.049","DOIUrl":"10.1016/j.ifacol.2025.03.049","url":null,"abstract":"<div><div>We present a data-driven approach to use the Koopman generator for prediction and optimal control of control-affine stochastic systems. We provide a novel conceptual approach and a proof-of-principle for the determination of optimal control policies which accelerate the simulation of rare events in metastable stochastic systems.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 283-288"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704256","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Identifying EEG-based Functional Networks for Whole-Brain Models
IFAC-PapersOnLine Pub Date : 2025-01-01 DOI: 10.1016/j.ifacol.2025.03.052
Alexander Edthofer , Andreas Korner
{"title":"Identifying EEG-based Functional Networks for Whole-Brain Models","authors":"Alexander Edthofer ,&nbsp;Andreas Korner","doi":"10.1016/j.ifacol.2025.03.052","DOIUrl":"10.1016/j.ifacol.2025.03.052","url":null,"abstract":"<div><div>Brain activity differs according to the state of consciousness. Whole-brain models, typically based on functional magnetic resonance imaging (fMRI) data, provide valuable insight into these changes by utilizing structural connectivity and differential equations to model the functional connectivity between brain regions. The goal of this work is to adapt fMRI-based functional connectivity models to electroencephalography data. A key step in this process is to determine the number of clusters and to estimate the coupling parameters. We turn to amplitude envelope correlation, a time-domain measure, to better match functional connectivity patterns observed in fMRI. By analyzing 64-channel electroencephalogram data from 25 male subjects over the age of 60 from the AlphaMax study, we investigate wakefulness and the transition to unconsciousness under anesthesia. Using A;-means clustering, we identify optimal brain network configurations, focusing on whether they match known fMRI-based networks. Clustering is evaluated using the Calinski-Harabasz criterion for different thresholds and numbers of cluster. The results show that two clusters are predominantly optimal for both awake and the mixed half awake, half unconscious scenario. Misplaced electrodes are mainly found in parietal regions. Since we determined the number of differential equations, this work lays the foundation for further development of electroencephalography-based whole-brain models that can track functional connectivity changes during anesthesia.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 301-306"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704259","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Comparing Beta Regression and Quantile Regression Forests for Probabilistic Photovoltaic Energy Forecasting⁎
IFAC-PapersOnLine Pub Date : 2025-01-01 DOI: 10.1016/j.ifacol.2025.03.056
Marco Capelletti , Valentina Fogli , Edoardo Santilli , Matteo Gardini , Riccardo Vignali , Giuseppe De Nicolao
{"title":"Comparing Beta Regression and Quantile Regression Forests for Probabilistic Photovoltaic Energy Forecasting⁎","authors":"Marco Capelletti ,&nbsp;Valentina Fogli ,&nbsp;Edoardo Santilli ,&nbsp;Matteo Gardini ,&nbsp;Riccardo Vignali ,&nbsp;Giuseppe De Nicolao","doi":"10.1016/j.ifacol.2025.03.056","DOIUrl":"10.1016/j.ifacol.2025.03.056","url":null,"abstract":"<div><div>This work focuses on the analysis of probabilistic power curve models that link the energy production of a photovoltaic system with the irradiance forecasts of the weather provider. It is shown that the essential information is provided by global horizontal irradiance (GHI) forecasts, which can be used to obtain simple and meaningful probabilistic models using non-parametric (quantile Regression forests) and parametric (Beta regression) methods. The second step is the analysis of the monthly performance of power curve models, to understand whether their performance can improve by taking monthly variability into account.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 325-330"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704263","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Bicycle Pedal Angle Measurements Using Model With Wireless Motion Sensors
IFAC-PapersOnLine Pub Date : 2025-01-01 DOI: 10.1016/j.ifacol.2025.03.036
Masahiro Fukuda , Tomoki Kitawaki
{"title":"Bicycle Pedal Angle Measurements Using Model With Wireless Motion Sensors","authors":"Masahiro Fukuda ,&nbsp;Tomoki Kitawaki","doi":"10.1016/j.ifacol.2025.03.036","DOIUrl":"10.1016/j.ifacol.2025.03.036","url":null,"abstract":"<div><div>Recently, research has focused on the ankle joint and pedal angles. Therefore, we measured the change in pedal angle in the horizontal plane, revealing a difference in pedaling characteristics. In this study, a computational model was proposed to accurately measure the rotation angles of both bicycle pedals. The system consisted of three wireless motion sensors with biaxial acceleration and an angular velocity sensor attached to the crank arm and both pedals. The rotational pedal angles measured by the motion sensors were compared with data from a motion-capture system. The root-mean-square error for the bicycle pedal angle was 0.429 ± 0.138° (mean ± SD), and the correlation coefficient was 0.9996 for the combined pedals. Using the proposed computational model, both pedal angles were measured with the same accuracy as that of the motion-capture system but with a higher frequency.</div></div>","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"59 1","pages":"Pages 205-210"},"PeriodicalIF":0.0,"publicationDate":"2025-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"143704319","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Torque-Minimizing Control Allocation for Overactuated Quadrupedal Locomotion 过驱动四足运动的扭矩最小化控制分配
IFAC-PapersOnLine Pub Date : 2024-04-05 DOI: 10.1016/j.ifacol.2023.10.419
Mads Erlend Bøe Lysø, E. Grøtli, K. Y. Pettersen
{"title":"Torque-Minimizing Control Allocation for Overactuated Quadrupedal Locomotion","authors":"Mads Erlend Bøe Lysø, E. Grøtli, K. Y. Pettersen","doi":"10.1016/j.ifacol.2023.10.419","DOIUrl":"https://doi.org/10.1016/j.ifacol.2023.10.419","url":null,"abstract":"","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"27 15","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-04-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140738902","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Mesh Refinement with Early Termination for Dynamic Feasibility Problems 针对动态可行性问题的网格细化与早期终止
IFAC-PapersOnLine Pub Date : 2024-03-12 DOI: 10.1016/j.ifacol.2023.10.676
Eduardo M. G. Vila, Eric C. Kerrigan, Paul Bruce
{"title":"Mesh Refinement with Early Termination for Dynamic Feasibility Problems","authors":"Eduardo M. G. Vila, Eric C. Kerrigan, Paul Bruce","doi":"10.1016/j.ifacol.2023.10.676","DOIUrl":"https://doi.org/10.1016/j.ifacol.2023.10.676","url":null,"abstract":"","PeriodicalId":37894,"journal":{"name":"IFAC-PapersOnLine","volume":"22 2","pages":""},"PeriodicalIF":0.0,"publicationDate":"2024-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140250913","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
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