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

Simeón Casanova Trujillo (), John E. Candelo-Becerra and Fredy E. Hoyos
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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

Sustainability, 2022, vol. 14, issue 20, 1-24

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.

Keywords: bifurcation diagrams; periodic orbits; boost converter; system stability; biparametric diagram (search for similar items in EconPapers)
JEL-codes: O13 Q Q0 Q2 Q3 Q5 Q56 (search for similar items in EconPapers)
Date: 2022
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