| Summary: | A boost converter is an electronic circuit that generates a higher voltage in the output than in the input. The most common method to regulate the DC/DC converter is pulse-width modulation (PWM), and some techniques such as sliding mode control help perform a switching frequency to determine the duty cycle. However, some instabilities at different operating points have been detected with the controllers that have not yet been studied. Therefore, this paper presents a numerical validation of the boost converter with bifurcation diagrams. The pulse-width modulation is controlled by using a quasi-sliding mode control technique, such as the zero average dynamics, because it allows for the reduction of some phenomena such as chattering, ripple, and distortions. The results show that <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>N</mi><mo>−</mo><mi>T</mi></mrow></semantics></math></inline-formula> periodic orbits are detected with this technique from an initial operating point and they present a qualitative symmetry in both voltage and current variables. This technique is helpful to study a whole range of instability problems resulting from the different power converters and the controllers.
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