Identification of High-Order Nonlinear Coupled Systems Using a Data-Driven Approach
Source abstract
Abstract
Most works related to the identification of mathematical nonlinear systems suggest that such approaches can always be directly applied to any nonlinear system. This misconception is greatly discouraging when the obtained results are not expected. Thus, the current work hypothesizes that the more information one has about the mathematical structure of the model, the most precise the identification result. 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.
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Research context
OpenAlex topics: Model Reduction and Neural Networks · Control Systems and Identification · Structural Health Monitoring Techniques
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
SEPI ESIME Zacatenco, Instituto Politécnico Nacional, Ciudad de México 07738, Mexico
SEPI ESIME Ticomán, Instituto Politécnico Nacional, Ciudad de México 07340, Mexico
SEPI ESIME Zacatenco, CONAHCYT—Instituto Politécnico Nacional, Ciudad de México 07738, Mexico
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