The Regulation of an Electric Oven and an Inverted Pendulum

Ricardo Balcazar, José de Jesús Rubio, Eduardo Orozco, Daniel Andres Cordova, Genaro Ochoa, Enrique Garcia, Jaime Pacheco, Guadalupe Juliana Gutierrez, Dante Mujica-Vargas, Carlos Aguilar-Ibañez

Producción científica: Contribución a una revistaArtículorevisión exhaustiva

26 Citas (Scopus)

Resumen

In this research, a proportional integral derivative regulator, a first-order sliding-mode regulator, and a second-order sliding-mode regulator are compared, for the regulation of two different types of mathematical model. A first-order sliding-mode regulator is a method where a sign-mapping checks that the error decays to zero after a convergence time; it has the problem of chattering in the output. A second-order sliding-mode regulator is a smooth method to counteract the chattering effect where the integral of the sign-mapping is used. A second-order sliding-mode regulator is presented as a new class of algorithm where the trajectory is asymptotic and stable; it is shown to greatly improve the convergence time in comparison with other regulators considered. Simulation and experimental results are described in which an electric oven is considered as a stable linear mathematical model, and an inverted pendulum is considered as an asymmetrical unstable non-linear mathematical model.

Idioma originalInglés
Número de artículo759
PublicaciónSymmetry
Volumen14
N.º4
DOI
EstadoPublicada - abr. 2022

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