  This paper presents a novel control strategy for medium voltage DC (MVDC)
naval shipboard microgrids (MGs), employing a nonlinear model predictive
controller (NMPC) enhanced with stabilizing features and an intricate droop
control architecture. This combination quickly regulates the output voltage and
adeptly allocates supercapacitors for pulsed power loads (PPLs), while the
battery energy storage system (BESS) and auxiliary generators handle the steady
state loads. A key feature of this study is the formulation of terminal cost
and constraints, providing recursive feasibility and closed-loop stability in
the Lyapunov sense, that offers a more robust and effective approach to naval
power and energy management. By comparing the proposed Lyapunov-based NMPC with
conventional PI controller under fluctuating PPLs, the control robustness is
validated.
