Adaptive Lyapunov-Hamiltonian Control Law for Single-Phase Power Factor Correction with Interleaved Boost Converters

This paper presents an Adaptive LyapunovHamiltonian Control Law integrated with a second-order homogeneous tracking control law to enhance power factor correction (PFC) in single-phase interleaved boost converters. The control strategy combines Lyapunov stability, Hamiltonian energy shaping, and adaptive control to ensure robust performance under varying load conditions. The second-order tracking control generates desired inductor currents based on DC-link energy, enabling precise voltage regulation and fast dynamic response. The interleaved topology reduces current ripple, improves thermal management, and enhances overall efficiency. Experimental results confirm that the proposed approach significantly improves power factors, ensures stable DC-link voltage, and achieves superior dynamic behavior compared to conventional methods, making it well-suited for high-power PFC applications in electric vehicles and smart grids.