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The problem of estimating the parameters of induction motor models is considered, using the data measured by a circuit breaker equipped with industrial sensors. The measured data pertain to direct-on-line motor startups, during which the…

最优化与控制 · 数学 2020-08-28 Lorenzo Fagiano , Marco Lauricella , Daniele Angelosante , Enrico Ragaini

Energy estimation is critical to impact identification on aerospace composites, where low-velocity impacts can induce internal damage that is undetectable at the surface. Current methodologies for energy prediction are often constrained by…

We present a novel data-driven model predictive control (MPC) approach to control unknown nonlinear systems using only measured input-output data with closed-loop stability guarantees. Our scheme relies on the data-driven system…

最优化与控制 · 数学 2022-09-20 Julian Berberich , Johannes Köhler , Matthias A. Müller , Frank Allgöwer

Modeling dynamical systems is important in many disciplines, e.g., control, robotics, or neurotechnology. Commonly the state of these systems is not directly observed, but only available through noisy and potentially high-dimensional…

机器学习 · 统计学 2014-10-29 Niklas Wahlström , Thomas B. Schön , Marc Peter Deisenroth

The successful application of modern machine learning for time series classification is often hampered by limitations in quality and quantity of available training data. To overcome these limitations, available domain expert knowledge in…

机器学习 · 计算机科学 2025-02-07 Janis Norden , Elisa Oostwal , Michael Chappell , Peter Tino , Kerstin Bunte

This paper addresses the problem of selecting the minimum number of dedicated sensors to achieve observability in the presence of unknown inputs, namely, the state and input observability, for linear time-invariant systems. We assume that…

系统与控制 · 电气工程与系统科学 2024-08-20 Ranbo Cheng , Yuan Zhang , Amin MD Al , Yuanqing Xia

This article addresses the following problems: 1) First, a nonlinearity analysis is made looking for the presence of nonlinearities in an early phase of the identification process. The level and the nature of the nonlinearities should be…

系统与控制 · 计算机科学 2018-04-26 Johan Schoukens , Mark Vaes , Rik Pintelon

Equation discovery methods enable modelers to combine domain-specific knowledge and system identification to construct models most suitable for a selected modeling task. The method described and evaluated in this paper can be used as a…

机器学习 · 计算机科学 2019-07-02 Nikola Simidjievski , Ljupčo Todorovski , Juš Kocijan , Sašo Džeroski

Observability is a modelling property that describes the possibility of inferring the internal state of a system from observations of its output. A related property, structural identifiability, refers to the theoretical possibility of…

定量方法 · 定量生物学 2018-12-12 Alejandro F. Villaverde

In this note, we propose a novel approach for a class of autonomous dynamical systems that allows, given some observations of the solutions, to identify its parameters and reconstruct the state vector. This approach relies on proving the…

动力系统 · 数学 2024-08-22 Alicja B Kubik , Alain Rapaport , Benjamin Ivorra , Ángel M Ramos

Motivated by neuronal models from neuroscience, we consider the system identification of simple feedback structures whose behaviors include nonlinear phenomena such as excitability, limit-cycles and chaos. We show that output feedback is…

系统与控制 · 电气工程与系统科学 2020-02-25 Thiago B. Burghi , Maarten Schoukens , Rodolphe Sepulchre

This paper proposes a data-driven control framework to regulate an unknown, stochastic linear dynamical system to the solution of a (stochastic) convex optimization problem. Despite the centrality of this problem, most of the available…

最优化与控制 · 数学 2021-08-31 Gianluca Bianchin , Miguel Vaquero , Jorge Cortes , Emiliano Dall'Anese

Identifiability concerns finding which unknown parameters of a model can be estimated from given input-output data. If some subset of the parameters of a model cannot be determined given input-output data, then we say the model is…

代数几何 · 数学 2014-11-03 Nicolette Meshkat , Seth Sullivant , Marisa Eisenberg

Parameter identifiability is often requisite to the effective application of mathematical models in the interpretation of biological data, however theory applicable to the study of partial differential equations remains limited. We present…

偏微分方程分析 · 数学 2025-04-08 Yurij Salmaniw , Alexander P Browning

We derive direct data-driven dissipativity analysis methods for Linear Parameter-Varying (LPV) systems using a single sequence of input-scheduling-output data. By means of constructing a semi-definite program subject to linear matrix…

系统与控制 · 电气工程与系统科学 2024-07-10 Chris Verhoek , Julian Berberich , Sofie Haesaert , Frank Allgöwer , Roland Tóth

We consider linear structural equation models with explicitly modelled latent variables. In such models, observed and latent variables solve linear equations including stochastic noise terms. The goal of our work is to identify the direct…

统计方法学 · 统计学 2026-05-28 Tom Hochsprung , Nils Sturma , Jakob Runge , Mathias Drton , Andreas Gerhardus

In many science and engineering settings, system dynamics are characterized by governing PDEs, and a major challenge is to solve inverse problems (IPs) where unknown PDE parameters are inferred based on observational data gathered under…

机器学习 · 计算机科学 2025-03-11 Apivich Hemachandra , Gregory Kang Ruey Lau , See-Kiong Ng , Bryan Kian Hsiang Low

This paper presents a novel data-driven, direct filtering approach for unknown linear time-invariant systems affected by unknown-but-bounded measurement noise. The proposed technique combines independent multistep prediction models,…

最优化与控制 · 数学 2020-08-28 Marco Lauricella , Lorenzo Fagiano

A new Bayesian approach to linear system identification has been proposed in a series of recent papers. The main idea is to frame linear system identification as predictor estimation in an infinite dimensional space, with the aid of…

机器学习 · 统计学 2015-07-03 Diego Romeres , Gianluigi Pillonetto , Alessandro Chiuso

Learning identifiable representations and models from low-level observations is helpful for an intelligent spacecraft to complete downstream tasks reliably. For temporal observations, to ensure that the data generating process is provably…

机器学习 · 计算机科学 2024-12-05 Congxi Zhang , Yongchun Xie