Proportional derivative control with inverse dead-zone for pendulum systems

José De Jesús Rubio, Zizilia Zamudio, Jaime Pacheco, Dante Mújica Vargas

Research output: Contribution to journalArticleResearchpeer-review

17 Citations (Scopus)

Abstract

A proportional derivative controller with inverse dead-zone is proposed for the control of pendulum systems. The proposed method has the characteristic that the inverse dead-zone is cancelled with the pendulum dead-zone. Asymptotic stability of the proposed technique is guaranteed by the Lyapunov analysis. Simulations of two pendulum systems show the effectiveness of the proposed technique. © 2013 José de Jesús Rubio et al.
Original languageAmerican English
JournalMathematical Problems in Engineering
DOIs
StatePublished - 4 Nov 2013

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Dead Zone
Pendulum
Pendulums
Directly proportional
Derivatives
Derivative
Asymptotic stability
Asymptotic Stability
Lyapunov
Controller
Controllers
Simulation

Cite this

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title = "Proportional derivative control with inverse dead-zone for pendulum systems",
abstract = "A proportional derivative controller with inverse dead-zone is proposed for the control of pendulum systems. The proposed method has the characteristic that the inverse dead-zone is cancelled with the pendulum dead-zone. Asymptotic stability of the proposed technique is guaranteed by the Lyapunov analysis. Simulations of two pendulum systems show the effectiveness of the proposed technique. {\circledC} 2013 Jos{\'e} de Jes{\'u}s Rubio et al.",
author = "Rubio, {Jos{\'e} De Jes{\'u}s} and Zizilia Zamudio and Jaime Pacheco and {M{\'u}jica Vargas}, Dante",
year = "2013",
month = "11",
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language = "American English",
journal = "Mathematical Problems in Engineering",
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Proportional derivative control with inverse dead-zone for pendulum systems. / Rubio, José De Jesús; Zamudio, Zizilia; Pacheco, Jaime; Mújica Vargas, Dante.

In: Mathematical Problems in Engineering, 04.11.2013.

Research output: Contribution to journalArticleResearchpeer-review

TY - JOUR

T1 - Proportional derivative control with inverse dead-zone for pendulum systems

AU - Rubio, José De Jesús

AU - Zamudio, Zizilia

AU - Pacheco, Jaime

AU - Mújica Vargas, Dante

PY - 2013/11/4

Y1 - 2013/11/4

N2 - A proportional derivative controller with inverse dead-zone is proposed for the control of pendulum systems. The proposed method has the characteristic that the inverse dead-zone is cancelled with the pendulum dead-zone. Asymptotic stability of the proposed technique is guaranteed by the Lyapunov analysis. Simulations of two pendulum systems show the effectiveness of the proposed technique. © 2013 José de Jesús Rubio et al.

AB - A proportional derivative controller with inverse dead-zone is proposed for the control of pendulum systems. The proposed method has the characteristic that the inverse dead-zone is cancelled with the pendulum dead-zone. Asymptotic stability of the proposed technique is guaranteed by the Lyapunov analysis. Simulations of two pendulum systems show the effectiveness of the proposed technique. © 2013 José de Jesús Rubio et al.

U2 - 10.1155/2013/173051

DO - 10.1155/2013/173051

M3 - Article

JO - Mathematical Problems in Engineering

JF - Mathematical Problems in Engineering

SN - 1024-123X

ER -