Design of Backstepping-Sliding Mode Controller for a Bidirectional Grid Connected DC/AC Converter

In this paper, design of a nonlinear controller for grid connected bidirectional converter is presented. A backstepping sliding mode (BS-SM) approach is used, and two control algorithms are proposed. The first one uses a classical design approach. However, the second BS-SM controller design relies on an accurate Lyapunov stability analysis. Simulation studies are presented while considering in the first step, the nominal parameters of the system, and in the second step, variations or uncertainties that can impact the inductance of the RL filter. The analysis outcome shows the superiority and the robustness of the second proposed BS-SM controller to deal with transients and to guarantee a better performance of the proposed controller under different operating conditions.