article · Symmetry · 2022
The Regulation of an Electric Oven and an Inverted Pendulum
Ricardo Balcázar, José de Jesús Rubio, Eduardo Orozco, Daniel Andres Cordova, Genaro Ochoa, Enrique García-Trinidad, Jaime Pacheco, G. Gutiérrez, Dante Mújica‐Vargas, Carlos Fernando Aguilar-Ibañez
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Abstract
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.
Cite this paper
Balcázar, R., Rubio, J. D. J., Orozco, E., Cordova, D. A., Ochoa, G., García-Trinidad, E., Pacheco, J., Gutiérrez, G., Mújica‐Vargas, D., & Aguilar-Ibañez, C. F. (2022). The Regulation of an Electric Oven and an Inverted Pendulum. Symmetry, 14(4), 759. https://doi.org/10.3390/sym14040759
Balcázar, Ricardo, et al. “The Regulation of an Electric Oven and an Inverted Pendulum.” Symmetry, vol. 14, no. 4, 2022, p. 759, https://doi.org/10.3390/sym14040759.
Balcázar, Ricardo, José de Jesús Rubio, Eduardo Orozco, Daniel Andres Cordova, Genaro Ochoa, Enrique García-Trinidad, Jaime Pacheco, G. Gutiérrez, Dante Mújica‐Vargas, and Carlos Fernando Aguilar-Ibañez. 2022. “The Regulation of an Electric Oven and an Inverted Pendulum.” Symmetry 14 (4): 759. https://doi.org/10.3390/sym14040759.
Balcázar, R. et al. (2022) ‘The Regulation of an Electric Oven and an Inverted Pendulum’, Symmetry, 14(4), p. 759. Available at: https://doi.org/10.3390/sym14040759.
@article{balcazar2022regulation,
title = {{The Regulation of an Electric Oven and an Inverted Pendulum}},
author = {Balcázar, Ricardo and Rubio, José de Jesús and Orozco, Eduardo and Cordova, Daniel Andres and Ochoa, Genaro and García-Trinidad, Enrique and Pacheco, Jaime and Gutiérrez, G. and Mújica‐Vargas, Dante and Aguilar-Ibañez, Carlos Fernando},
journal = {Symmetry},
volume = {14},
number = {4},
pages = {759},
year = {2022},
doi = {10.3390/sym14040759}
}Made from the index record. Check names, capitalisation and page numbers against the paper. Need another style? AI for Research has over 10,000.