Dual PD Control Regulation with Nonlinear Compensation for a Ball and Plate System

Author:

Galvan-Colmenares Sergio1,Moreno-Armendáriz Marco A.1ORCID,Rubio José de Jesús2,Ortíz-Rodriguez Floriberto3,Yu Wen4,Aguilar-Ibáñez Carlos F.1

Affiliation:

1. Centro de Investigación en Computación, Instituto Politécnico Nacional, Avenida Juan de Dios Bátiz S/N, Colonia Zacatenco, 07738 México, DF, Mexico

2. Sección de Estudios de Posgrado e Investigación, ESIME Azcapotzalco, Instituto Politécnico Nacional, Avenida de las Granjas No. 682, Colonia Santa Catarina, 02250 México, DF, Mexico

3. Escuela Superior de Ingenierìa Mecánica y Eléctrica, Instituto Politécnico Nacional, Avenida Juan de Dios Bátiz S/N, Zacatenco, 07738 México, DF, Mexico

4. Departamento de Control Automatico, CINVESTAV, Instituto Politécnico Nacional, 07370 México, DF, Mexico

Abstract

The normal proportional derivative (PD) control is modified to a new dual form for the regulation of a ball and plate system. First, to analyze this controller, a novel complete nonlinear model of the ball and plate system is obtained. Second, an asymptotic stable dual PD control with a nonlinear compensation is developed. Finally, the experimental results of ball and plate system are provided to verify the effectiveness of the proposed methodology.

Publisher

Hindawi Limited

Subject

General Engineering,General Mathematics

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