Numerical and experimental validation with bifurcation diagrams for a controlled DC–DC converter with quasi-sliding control

Fredy E. Hoyos, John E. Candelo, Nicolás Toro


This paper presents a stability analysis of a buck converter using a Zero Average Dynamics (ZAD) controller and Fixed-Point Induction Control (FPIC) when the control parameter , the reference voltage υref, and the source voltage  are changed. The study was based on a previous analysis in which the control parameter was adjusted to  and the parameter  was changed during the simulation, finding the stability zone and regions with chaotic behavior. Thus, this new study presents the transient and steady-state behaviors and robustness of the buck converter when the control parameter  changes. Moreover, numerical simulation results are compared with experimental observations. The results show that the system regulates the output voltage with low error when the voltage is changed in the source E. Besides, the voltage overshoot increases, and the settling time decreases when the control parameter  is augmented and the control parameter  is constant. Furthermore, the buck converter controlled by ZAD and FPIC techniques is effective in regulating the output voltage of the circuit even when there are two delay periods and voltage input disturbances.


DC–DC buck converter; bifurcations in FPIC control parameter; sliding control; two-dimensional bifurcation; microgrid; electrical network

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