Using bifurcation diagrams for controlling chaos

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

doi:10.1007/978-3-319-08266-0_6

Using bifurcation diagrams for controlling chaos

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

Research output: Contribution to conference › Paper › peer-review

Abstract

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 language	English
Pages	77-84
Number of pages	8
DOIs	https://doi.org/10.1007/978-3-319-08266-0_6
Publication status	Published - 1 Jan 2014
Externally published	Yes
Event	12th International Conference on Dynamical Systems-Theory and Applications, DSTA 2013 - Łódź, Poland Duration: 2 Dec 2013 → 5 Dec 2013

Conference

Conference	12th International Conference on Dynamical Systems-Theory and Applications, DSTA 2013
Country/Territory	Poland
City	Łódź
Period	2/12/13 → 5/12/13

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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10.1007/978-3-319-08266-0_6

Cite this

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title = "Using bifurcation diagrams for controlling chaos",

abstract = "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.",

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AU - Morcillo B., Jose D.

AU - Burbano, Daniel

AU - Angulo, Fabiola

AU - Olivar, Gerard

N1 - 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.

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Y1 - 2014/1/1

N2 - 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.

AB - 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.

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T2 - 12th International Conference on Dynamical Systems-Theory and Applications, DSTA 2013

Y2 - 2 December 2013 through 5 December 2013

ER -

Using bifurcation diagrams for controlling chaos

Abstract

Conference

Bibliographical note

All Science Journal Classification (ASJC) codes

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