TY - JOUR
T1 - The Regulation of an Electric Oven and an Inverted Pendulum
AU - Balcazar, Ricardo
AU - Rubio, José de Jesús
AU - Orozco, Eduardo
AU - Cordova, Daniel Andres
AU - Ochoa, Genaro
AU - Garcia, Enrique
AU - Pacheco, Jaime
AU - Gutierrez, Guadalupe Juliana
AU - Mujica-Vargas, Dante
AU - Aguilar-Ibañez, Carlos
N1 - Publisher Copyright:
© 2022 by the authors. Licensee MDPI, Basel, Switzerland.
PY - 2022/4
Y1 - 2022/4
N2 - 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.
AB - 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.
KW - PID
KW - electric oven
KW - inverted pendulum
KW - linearization
KW - sliding-mode
UR - http://www.scopus.com/inward/record.url?scp=85128691779&partnerID=8YFLogxK
U2 - 10.3390/sym14040759
DO - 10.3390/sym14040759
M3 - Artículo
AN - SCOPUS:85128691779
SN - 2073-8994
VL - 14
JO - Symmetry
JF - Symmetry
IS - 4
M1 - 759
ER -