Comparative analysis between Backstepping, Sliding mode and PI control applied to Shunt Active Filter

The main objective of this paper is a comparative analysis between three well-known control techniques applied to active power filters, namely backstepping, sliding mode, and PI controls. The minimization of the current harmonics caused by non-linear loads, the compensation of the reactive power, as well as, the improvement of the performances in both dynamic and steady-state are the main parameters of comparison. To determine the reference currents, a theory of instantaneous real and imaginary power was used in this study, where three techniques (backstepping, sliding mode, and PI control) were analyzed mathematically and then simulated to find the best control. By comparing the results, I have found that the backstepping control was more satisfactory.