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A new control method based on State-Dependent Ricatti Equation (SDRE) for single phase PWM inverter with FPGA based hardware controller is proposed. Deadbeat control is well known with the quick transient response and accuracy, but the robustness for the variation of the system parameter is the key issue. In the SDRE approach, the nonlinear system is assumed as a frozen-in-time linear time varying system, the state conditions which include parameter variations were reflected to the feedback system. In the case of power electronics applications, a fast calculation capability of the controller is required. In this paper, SDRE control is designed for single phase PWM inverter using FPGA based hardware controller. And SDRE control is compared with the conventional deadbeat control in the point of view from the robustness for the variation of the system parameter. Through simulations and experiments, the proposed method was verified.