Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach

Rodolfo Daniel Velázquez-Sánchez; Jonathan Omega Escobedo-Alva; Raymundo Peña-García; Ricardo Tapia-Herrera; Jesús Alberto Meda-Campaña

doi:10.20944/preprints202403.0525.v1

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preprints.org > engineering > control and systems engineering > doi: 10.20944/preprints202403.0525.v1

Preprint Article Version 1 Preserved in Portico This version is not peer-reviewed

Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach

Rodolfo Daniel Velázquez-Sánchez

Jonathan Omega Escobedo-Alva

Raymundo Peña-García

Ricardo Tapia-Herrera

Jesús Alberto Meda-Campaña

Version 1 : Received: 8 March 2024 / Approved: 8 March 2024 / Online: 8 March 2024 (11:02:48 CET)

How to cite: Velázquez-Sánchez, R.D.; Escobedo-Alva, J.O.; Peña-García, R.; Tapia-Herrera, R.; Meda-Campaña, J.A. Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach. Preprints 2024, 2024030525. https://doi.org/10.20944/preprints202403.0525.v1 Velázquez-Sánchez, R.D.; Escobedo-Alva, J.O.; Peña-García, R.; Tapia-Herrera, R.; Meda-Campaña, J.A. Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach. Preprints 2024, 2024030525. https://doi.org/10.20944/preprints202403.0525.v1

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MDPI and ACS Style

Velázquez-Sánchez, R.D.; Escobedo-Alva, J.O.; Peña-García, R.; Tapia-Herrera, R.; Meda-Campaña, J.A. Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach. Preprints 2024, 2024030525. https://doi.org/10.20944/preprints202403.0525.v1

APA Style

Velázquez-Sánchez, R.D., Escobedo-Alva, J.O., Peña-García, R., Tapia-Herrera, R., & Meda-Campaña, J.A. (2024). Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach. Preprints. https://doi.org/10.20944/preprints202403.0525.v1

Chicago/Turabian Style

Velázquez-Sánchez, R.D., Ricardo Tapia-Herrera and Jesús Alberto Meda-Campaña. 2024 "Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach" Preprints. https://doi.org/10.20944/preprints202403.0525.v1

Abstract

Most works related to the identification of mathematical nonlinear systems make one suppose that such approaches can always be directly applied to any nonlinear system. This misconception produces a great deal of discouragement when the obtained results are not the expected ones. Thus, the current work hypothesizes that the most information one has about the mathematical structure of the model, the most precise the identification result should be. Therefore, a variant of the Sparse Identification of Nonlinear Dynamics (SINDY) approach is presented to obtain the full mathematical nonlinear model of a high-order system with coupled dynamics, namely, a commercial quadcopter. Furthermore, due to its high sensitivity to inputs, a control system is devised using the identified model to stabilize the quadcopter. This illustrates the effectiveness of the proposed identification method.

Keywords

Sparse identification of nonlinear dynamics; high-order systems; coupled dynamics.

Subject

Engineering, Control and Systems Engineering

Copyright: This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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