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Analysis and Control of Chaos in the Boost Converter with ZAD, FPIC, and TDAS

Author

Listed:
  • Simeón Casanova Trujillo

    (Grupo de Investigación Cálculo Científico y Modelamiento Matemático, Universidad Nacional de Colombia, Sede Manizales, Manizales 170003, Colombia)

  • John E. Candelo-Becerra

    (Facultad de Minas, Departamento de Energía Eléctrica y Automática, Universidad Nacional de Colombia, Sede Medellín, Carrera 80 No. 65-223, Robledo, Medellín 050041, Colombia)

  • Fredy E. Hoyos

    (Facultad de Minas, Departamento de Energía Eléctrica y Automática, Universidad Nacional de Colombia, Sede Medellín, Carrera 80 No. 65-223, Robledo, Medellín 050041, Colombia)

Abstract

This paper presents an analysis and control of chaos in the boost converter controlled with zero average dynamics, fixed-point induced control, and time-delayed autosynchronization techniques. First, the existence of chaos is demonstrated numerically when positive Lyapunov exponents are found in the controlled system, for a range from k 1 = − 0.26 to k 1 = 0.4387 , when k 2 = 0.5 . Additionally, chaos is also found for a range from k 1 = − 0.435 to k 1 = 0.26 , when k 2 = − 0.5 . Subsequently, fixed-point-induced control and time-delayed autosynchronization techniques are used to control the chaos. The results show that both techniques are useful to control the chaos in the boost converter. Furthermore, the fixed-point-induced control technique allows better regulation than the time-delayed autosynchronization technique. Moreover, when only the fixed-point induced control technique is used on the boost converter with a time delay, the results were not good enough to stabilize orbits. The stability is validated by calculating the Lyapunov exponents.

Suggested Citation

  • Simeón Casanova Trujillo & John E. Candelo-Becerra & Fredy E. Hoyos, 2022. "Analysis and Control of Chaos in the Boost Converter with ZAD, FPIC, and TDAS," Sustainability, MDPI, vol. 14(20), pages 1-24, October.
    • Handle: RePEc:gam:jsusta:v:14:y:2022:i:20:p:13170-:d:941723
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