Using bifurcation diagrams for controlling chaos

Jose D. Morcillo B., Daniel Burbano, Fabiola Angulo, Gerard Olivar

Research output: Contribution to conferencePaperpeer-review


In this chapter, a methodology to compute chaos controllers based on bifurcation diagrams is proposed and applied to PWM-controlled power converters. The technique is based on an adaptive control where the offset of the T -periodic sawtooth signal is modified. Basically, the sawtooth is redefined as a function of the output and reference voltages. This control technique reduces the percentage of regulation error as well as eliminates orbits of period greater than one and the chaotic behavior when the voltage source is varied. Finally, numerical results are obtained to validate the performance of the proposed scheme.

Original languageEnglish
Number of pages8
Publication statusPublished - 1 Jan 2014
Externally publishedYes
Event12th International Conference on Dynamical Systems-Theory and Applications, DSTA 2013 - Łódź, Poland
Duration: 2 Dec 20135 Dec 2013


Conference12th International Conference on Dynamical Systems-Theory and Applications, DSTA 2013

Bibliographical note

Funding Information:
This work was partially supported by Universidad Nacional de Colombia - Manizales, project 12475, Vicerrectoría de Investigación, DIMA, and Programa Jóvenes Investigadores e Innovadores 2011 (COLCIENCIAS) convenio No. 0043 de 2012.

Publisher Copyright:
© Springer International Publishing Switzerland 2014.

All Science Journal Classification (ASJC) codes

  • General Mathematics


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