Hybrid control with half-cycle adaptive switching rule and integral action for a Totem-Pole bridgeless rectifier

This paper proposes a hybrid control strategy for a single-phase Totem-Pole Bridgeless Rectifier (TPBR), modeled as an affine switched system combining controlled and autonomous dynamics under parametric uncertainties. The TPBR is analytically characterized as a current-dependent system, with modes consolidated into two per current half-cycle, without loss of generality, preserving the nonlinear behavior through switching. Such formulation enables a two-stage evaluation of the Switching Rule (SR), fully computed offline through Linear Matrix Inequalities (LMIs) posed over a polytopic uncertainty set. This guarantees Lyapunov-based stability while tracking a sinusoidal reference for the inductor current across the entire admissible range, which remains one of the main challenges in switched control. The control architecture adopts a nested-loop structure, where this SR acts in the inner loop performing current control by directly driving the switches without modulation, while the outer loop employs a PI compensator to regulate the output voltage indirectly by generating the current reference. Experimental validation was performed under sinusoidal excitation on a TMS320F28377S-based prototype with input voltages of 85 V, 127 V, and 220 V, and load levels of 100 W, 200 W, and 300 W. The proposed algorithm exhibits negligible computational cost in real-time and results confirm stable voltage regulation at 380 V, unity power factor, and fast transient recovery under load and input voltage variations.