modular multilevel converter current control using linear matrix inequality (lmi) approach

This paper delves into an approach for controlling the output current of a grid-connected modular multilevel converter (mmc) by employing linear matrix inequality (lmi) approach. the problem is formulated as an optimization challenge and solved through using of lmis. the suggested approach offers benefits in terms of its simplicity, assured stability, as well as its systematic and mathematically precise method for gain selection. furthermore, this paper incorporates the utilization of a proportional-resonant (pr) circulating current harmonic attenuation method in hybrid with the lmi approach. finally, the paper presents simulation outcomes conducted using matlab/simulink, including an examination of steady-state and dynamic performances.