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In this paper we study the problem of learning minimum-energy controls for linear systems from heterogeneous data. Specifically, we consider datasets comprising input, initial and final state measurements collected using experiments with…

Optimization and Control · Mathematics 2020-06-22 Giacomo Baggio , Fabio Pasqualetti

The kernel-based method has been successfully applied in linear system identification using stable kernel designs. From a Gaussian process perspective, it automatically provides probabilistic error bounds for the identified models from the…

Systems and Control · Electrical Eng. & Systems 2023-03-20 Mingzhou Yin , Roy S. Smith

This paper investigates the idea of designing data-driven partial estimators for nonlinear systems showing parametric uncertainties using sparse multivariate polynomial relationships. A general framework is first presented and then…

Systems and Control · Electrical Eng. & Systems 2025-11-04 Mazen Alamir

This article presents an identification methodology to capture general relationships, with application to piecewise nonlinear approximations of model predictive control for constrained (non)linear systems. The mathematical formulation…

Optimization and Control · Mathematics 2017-01-06 Van-Vuong Trinh , Mazen Alamir , Patrick Bonnay

Time-invariant linear dynamical system arises in many real-world applications,and its usefulness is widely acknowledged. A practical limitation with this model is that its latent dimension that has a large impact on the model capability…

Machine Learning · Computer Science 2019-06-25 Yang Li

System identification is a common tool for estimating (linear) plant models as a basis for model-based predictive control and optimization. The current challenges in process industry, however, ask for data-driven modelling techniques that…

Systems and Control · Computer Science 2018-02-06 Paul M. J. Van den Hof , Arne G. Dankers , Harm H. M. Weerts

In this paper, we propose a novel approach for the data-driven characterization of power system dynamics. The developed method of Extended Subspace Identification (ESI) is suitable for systems with output measurements when all the dynamics…

Systems and Control · Electrical Eng. & Systems 2021-10-05 Pranav Sharma , Venkataramana Ajjarapu , Umesh Vaidya

In this work we examine the problem of data-driven prediction. That is, given a LTI system with unknown dynamics, we wish to use data collected from the system to predict the system's output response to a given sequence of known inputs.…

Optimization and Control · Mathematics 2026-04-14 Joel Stevens , Jeremy Coulson

The accurate modelling of structural dynamics is crucial across numerous engineering applications, such as Structural Health Monitoring (SHM), seismic analysis, and vibration control. Often, these models originate from physics-based…

Computational Physics · Physics 2024-10-31 Marcus Haywood-Alexander , Giacomo Arcieri , Antonios Kamariotis , Eleni Chatzi

In many state-of-the-art control approaches for power systems with storage units, an explicit model of the storage dynamics is required. With growing numbers of storage units, identifying these dynamics can be cumbersome. This paper employs…

Systems and Control · Electrical Eng. & Systems 2024-07-09 Johannes B. Lipka , Christian A. Hans

Identifiability is a desirable property of a statistical model: it implies that the true model parameters may be estimated to any desired precision, given sufficient computational resources and data. We study identifiability in the context…

Machine Learning · Statistics 2020-07-09 Geoffrey Roeder , Luke Metz , Diederik P. Kingma

When estimating a single subsystem (module) in a linear dynamic network with a prediction error method, a data-informativity condition needs to be satisfied for arriving at a consistent module estimate. This concerns a condition on input…

Systems and Control · Electrical Eng. & Systems 2026-01-13 Paul M. J. Van den Hof , Shengling Shi , Stefanie J. M. Fonken , Karthik R. Ramaswamy , Håkan Hjalmarsson , Arne G. Dankers

Data-driven modeling of dynamical systems often faces numerous data-related challenges. A fundamental requirement is the existence of a unique set of parameters for a chosen model structure, an issue commonly referred to as identifiability.…

Systems and Control · Electrical Eng. & Systems 2024-05-24 Arthur N. Montanari , François Lamoline , Robert Bereza , Jorge Gonçalves

The focus of this paper is on linear system identification in the setting where it is known that the underlying partially-observed linear dynamical system lies within a finite collection of known candidate models. We first consider the…

Optimization and Control · Mathematics 2024-04-15 Haoyuan Sun , Ali Jadbabaie

The identification of a nonlinear dynamic model is an open topic in control theory, especially from sparse input-output measurements. A fundamental challenge of this problem is that very few to zero prior knowledge is available on both the…

Systems and Control · Electrical Eng. & Systems 2022-06-13 Steeven Janny , Quentin Possamai , Laurent Bako , Madiha Nadri , Christian Wolf

Deep learning-based object detection is a powerful approach for detecting faulty insulators in power lines. This involves training an object detection model from scratch, or fine tuning a model that is pre-trained on benchmark computer…

Computer Vision and Pattern Recognition · Computer Science 2022-12-22 Laya Das , Mohammad Hossein Saadat , Blazhe Gjorgiev , Etienne Auger , Giovanni Sansavini

Many real world systems exhibit a quasi linear or weakly nonlinear behavior during normal operation, and a hard saturation effect for high peaks of the input signal. In this paper, a methodology to identify a parsimonious discrete-time…

Systems and Control · Computer Science 2018-05-17 Rishi Relan , Koen Tiels , Anna Marconato , Philippe Dreesen , Johan Schoukens

Data-driven identification of differential equations is an interesting but challenging problem, especially when the given data are corrupted by noise. When the governing differential equation is a linear combination of various differential…

Numerical Analysis · Mathematics 2023-04-05 Mengyi Tang , Wenjing Liao , Rachel Kuske , Sung Ha Kang

How to make a dynamic system unidentifiable is an important but still open issue. It not only requires that the parameters of the systems but also the equivalent systems cannot be identified by any identification approaches. Thus, it is a…

Systems and Control · Electrical Eng. & Systems 2023-08-31 Xiangyu Mao , Jianping He

Material identification is critical for understanding the relationship between mechanical properties and the associated mechanical functions. However, material identification is a challenging task, especially when the characteristic of the…

Materials Science · Physics 2022-11-29 Wensi Wu , Mitchell Daneker , Matthew A. Jolley , Kevin T. Turner , Lu Lu