Robust design and passivity control methods

This chapter introduces how to design and analyze the robust control law for power electronic systems. At first, a grid-connected inverter is introduced to design a robust controller. It is shown that the method designed in this study is robust to the grid variations and line filter parameters. Moreover, the exponential stability of the closed-loop system is guaranteed in the whole operating range. Then, a computationally efficient method is introduced to design a robust small-signal stabilization control without knowing the exact system equilibria for DC/DC converter and DC microgrid. It is easy to analyze the stability of the system even if there exists strong uncertainty. Finally, the passivity-based control (PBC) shows that it is easy to modify the energy function and add dissipation into the system. The PBC is applied to STATCOM and microgrid applications, where it is proven that the PBC is an effective method to obtain robust properties.