Influence of the speed replacement coefficient on the dynamic behavior of an inverted pendulum periodically disturbed and with restrictions in its trajectory.

Influence of the speed replacement coefficient on the dynamic behavior of an inverted pendulum periodically disturbed and with restrictions in its trajectory.

Authors

  • Reinaldo Gonçalves Nogueira Universidade Estadual de Londrina
  • Marconi Kolm Madrid Universidade Estadual de Campinas
  • Álvaro Geraldo Badan Palhares Universidade Estadual de Campinas

DOI:

https://doi.org/10.5433/1679-0375.2000v21n4p53

Keywords:

inverted pendulum, dynamic behavior, Poincaré's transformations, bifurcation diagrams.

Abstract

In this work, the results obtained by the simulation of the dynamic behavior of an inverted pendulum periodically disturbed whose movement is restricted due to the existence of obstacles in its trajectory generating a discontinuity, are presented. The intention is to show the change of the behavior due to the variation of the speed replacement coefficient after each collision of the pendulum with the obstacles, whose value depends directly on the materials involved in the collision. The simulations were performed using the Simulink/Mattab, and the analyses were based on maps obtained by means of Poincaré's transformations    and   bifurcation    diagrams,      which    can    show   the    dynamic    behavior   of   the   system.

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Author Biographies

Reinaldo Gonçalves Nogueira, Universidade Estadual de Londrina

Doutorando em Engenharia Elétrica na Universidade Estadual de Campinas e docente do curso de Engenharia Elétrica da Universidade Estadual de Londrina. 

Marconi Kolm Madrid, Universidade Estadual de Campinas

Doutor em Engenharia Elétrica e docente no Departamento de Sistemas e Controle de Energia da Universidade Estadual de Campinas.

Álvaro Geraldo Badan Palhares, Universidade Estadual de Campinas

Doutor em Engenharia Elétrica e docente no Departamento de Sistemas e Controle de Energia da Universidade Estadual de Campinas.

Published

2004-12-15

How to Cite

Nogueira, R. G., Madrid, M. K., & Badan Palhares, Álvaro G. (2004). Influence of the speed replacement coefficient on the dynamic behavior of an inverted pendulum periodically disturbed and with restrictions in its trajectory. Semina: Ciências Exatas E Tecnológicas, 21(4), 53–57. https://doi.org/10.5433/1679-0375.2000v21n4p53

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