Dual PD control regulation with nonlinear compensation for a ball and plate system

Sergio Galvan-Colmenares, Marco A. Moreno-Armendáriz, José De Jesús Rubio, Floriberto Ortíz-Rodriguez, Wen Yu, Carlos F. Aguilar-Ibáñez

Research output: Contribution to journalArticleResearchpeer-review

9 Citations (Scopus)

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. © 2014 Sergio Galvan-Colmenares et al.
Original languageAmerican English
JournalMathematical Problems in Engineering
DOIs
StatePublished - 1 Jan 2014

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Ball
Directly proportional
Derivatives
Derivative
Controllers
Nonlinear Model
Verify
Controller
Methodology
Experimental Results
Compensation and Redress
Form

Cite this

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title = "Dual PD control regulation with nonlinear compensation for a ball and plate system",
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. {\circledC} 2014 Sergio Galvan-Colmenares et al.",
author = "Sergio Galvan-Colmenares and Moreno-Armend{\'a}riz, {Marco A.} and Rubio, {Jos{\'e} De Jes{\'u}s} and Floriberto Ort{\'i}z-Rodriguez and Wen Yu and Aguilar-Ib{\'a}{\~n}ez, {Carlos F.}",
year = "2014",
month = "1",
day = "1",
doi = "10.1155/2014/894209",
language = "American English",
journal = "Mathematical Problems in Engineering",
issn = "1024-123X",
publisher = "Hindawi Publishing Corporation",

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Dual PD control regulation with nonlinear compensation for a ball and plate system. / Galvan-Colmenares, Sergio; Moreno-Armendáriz, Marco A.; Rubio, José De Jesús; Ortíz-Rodriguez, Floriberto; Yu, Wen; Aguilar-Ibáñez, Carlos F.

In: Mathematical Problems in Engineering, 01.01.2014.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Dual PD control regulation with nonlinear compensation for a ball and plate system

AU - Galvan-Colmenares, Sergio

AU - Moreno-Armendáriz, Marco A.

AU - Rubio, José De Jesús

AU - Ortíz-Rodriguez, Floriberto

AU - Yu, Wen

AU - Aguilar-Ibáñez, Carlos F.

PY - 2014/1/1

Y1 - 2014/1/1

N2 - 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. © 2014 Sergio Galvan-Colmenares et al.

AB - 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. © 2014 Sergio Galvan-Colmenares et al.

U2 - 10.1155/2014/894209

DO - 10.1155/2014/894209

M3 - Article

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

ER -