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Título del libro:
Título del capítulo: Stabilization of the Cart Pendulum using a Homogeneous Controller

Autores UNAM:
JAIME ALBERTO MORENO PEREZ; LEONID FRIDMAN;
Autores externos:

Idioma:

Año de publicación:
2024
Palabras clave:

Control nonlinearities; Inverted pendulum; Controller designs; Feed forward; Finite-time; Linear matrix in equalities; Time bound; Linear matrix inequalities


Resumen:

This manuscript addresses the problem of stabilization of a cart pendulum using a homogeneous controller. The model of the cart pendulum is composed by a combination of strict-feedback and feedforward parts. The proposed homogeneous controller allows the feedforward nonlinearities to be globally dominated. Emphasizing the simplicity of the controller's design, the methodology relies on solving a system of linear matrix inequalities. Furthermore, a finite-time bound of convergence is evaluated. The effectiveness of the proposed methodology is validated through experimental results on a real cart pendulum. © 2024 IEEE.


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