The power system will function effectively till a disturbance like fault or load changes or source side issues took place. These disturbances de- pending on amplitude and time will influence the power system parameters behavior. If a severe low voltage fault occurs for short period influences lesser than for a longer period for the same system. So, in this analysis, behavior of a power system containing conventional synchronous generator system, solar photovoltaic system and a STATCOM are all considered as a unit and the sys- tem is connected to a faulty weak grid. The overall system oscillations damping and stability are observed without observer, with fuzzy-controller (FC) and with H-∞ controller (HC). The MATLAB/Simulink is used for the study and HC observed to be performing superior than FC incorporated system.