Lyapunov-based Large Signal Stable Control for Coupled-inductor Sepic Converter

In order to obtain the large signal stable control strategy of high-order system, Lyapunov direct method is applied to coupled-inductor Sepic converter for the first time. Extended system of differential equation of Sepic converter is proposed in this paper. Based on Lyapunov stability theory, Lyapunov function is constructed successfully and a globally asymptotic stable control law is obtained. The proposed controller is robustness around the operating point, and good performance of transient responses can be achieved at load changes and input voltage variations. Simulation results confirm the effectiveness of the proposed control law.