DC/DC converters are power electronic devices that utilize
passive components such as resistors, capacitors, and inductors, along
with transistors to control the system through a duty cycle.
Traditionally modeled and controlled using integer-order calculus, these
converters are now increasingly examined through the lens of fractional
calculus, which introduces a fractional order for the controller, adding
a new modulating variable beyond just the duty cycle.However, if only
the controller operates in a fractional manner while the plant remains
integer-order, the advantages of fractional calculus are limited,
leading to challenges in flexibility, degree of freedom, and overall
accuracy. To address these limitations, proposing an Indirect Sliding
Mode Adaptive Fractional Order Controller (FOSMC) for Fractional Order
Systems in Single-Ended Primary Inductor Converters (FOSEPIC).Utilizing
the Caputo fractional derivative, mathematical model is develop to
resolve the average state space equation of the DC/DC SEPIC converter.
The Mittag-Leffler function, along with Lyapunov methods, is employed to
analyze the system’s dynamic stability. The performance of the proposed
controller is assessed using the Integral Time Absolute Error (ITAE),
yielding an ITAE of 0.09151, which is lower than that of the Fractional
Order Model (0.1847) and the Integer Order Sliding Mode Controller
(0.2532).Simulation results further demonstrate that the proposed
strategy enhances efficiency to 98%. Overall, the FOSMC exhibits
improved flexibility, a high degree of freedom, and superior accuracy,
offering a fast transient response in controlling DC/DC converters.
Keywords: Fractional calculus, Single-Ended Primary Inductor
Converters, Fractional order sliding mode control; Fractional order
SEPIC converter.