The Regulation of an Electric Oven and an Inverted Pendulum

被引：31

作者：

Balcazar, Ricardo ^{[1
]}

Rubio, Jose de Jesus ^{[1
]}

Orozco, Eduardo ^{[1
]}

Andres Cordova, Daniel ^{[1
]}

Ochoa, Genaro ^{[1
]}

Garcia, Enrique ^{[1
]}

Pacheco, Jaime ^{[1
]}

Juliana Gutierrez, Guadalupe ^{[1
]}

Mujica-Vargas, Dante ^{[2
]}

Aguilar-Ibanez, Carlos ^{[3
]}

机构：

[1] Inst Politecn Nacl, Secc Estudios Posgrad & Invest, ESIME Azcapotzalco, Av Granjas 682, Mexico City 02250, DF, Mexico

[2] Tecnol Nacl Mexico, Dept Comp Sci, CENIDET, Interior Internado Palmira S-N, Cuernavaca 62490, Morelos, Mexico

[3] Inst Politecn Nacl, Ctr Invest Comp, Av Juan Dios Batiz S-N, Mexico City 07738, DF, Mexico

来源：

SYMMETRY-BASEL | 2022年 / 14卷 / 04期

关键词：

linearization; inverted pendulum; electric oven; PID; sliding-mode; SYSTEMS;

D O I：

10.3390/sym14040759

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：24

共 24 条

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