This paper focuses on a robust state feedback controller design strategy for a single phase inverter with an output lowpass filter. State space representation of the single phase DC/AC converter was presented by assuming the load as an exsanguinous disturbance input modeled as a current source in parallel with an uncertain linear load. According to norm-bounded linear differential inclusion (NLDI) notation, robust stability, and linear matrix inequalities (LMI) techniques, sufficient conditions are gathered to design the robust state feedback. Furthermore, based on internal model principle, the steady-state error is removed by adding a resonant controller. The Simulation results for linear and nonlinear load are presented.