A Dynamic Mode Decomposition Approach to Parameter Identification

Fuente: arXiv
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Main Authors: Abudia, Moad, Owolabi, Opeyemi, Rosenfeld, Joel A., Kamalapurkar, Rushikesh
Format: Preprint
Published: 2026
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author Abudia, Moad
Owolabi, Opeyemi
Rosenfeld, Joel A.
Kamalapurkar, Rushikesh
author_facet Abudia, Moad
Owolabi, Opeyemi
Rosenfeld, Joel A.
Kamalapurkar, Rushikesh
contents This paper presents a data-driven algorithm for simultaneous system identification and parameter estimation in control-affine nonlinear systems. Parameter estimation is achieved by training a data-driven predictive model using state-action measurements and various known values at the parameters of interest. The predictive model is then used in conjunction with state-action data corresponding to unknown values of the parameters to estimate the said unknown value. Numerical experiments on the controlled Duffing oscillator with unknown damping, stiffness, and nonlinearity coefficients demonstrate accurate recovery of both the system trajectories and the unknown parameter values from data collected under open-loop excitation.
format Preprint
id arxiv_https___arxiv_org_abs_2604_18783
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle A Dynamic Mode Decomposition Approach to Parameter Identification
Abudia, Moad
Owolabi, Opeyemi
Rosenfeld, Joel A.
Kamalapurkar, Rushikesh
Optimization and Control
Systems and Control
This paper presents a data-driven algorithm for simultaneous system identification and parameter estimation in control-affine nonlinear systems. Parameter estimation is achieved by training a data-driven predictive model using state-action measurements and various known values at the parameters of interest. The predictive model is then used in conjunction with state-action data corresponding to unknown values of the parameters to estimate the said unknown value. Numerical experiments on the controlled Duffing oscillator with unknown damping, stiffness, and nonlinearity coefficients demonstrate accurate recovery of both the system trajectories and the unknown parameter values from data collected under open-loop excitation.
title A Dynamic Mode Decomposition Approach to Parameter Identification
topic Optimization and Control
Systems and Control
url https://arxiv.org/abs/2604.18783