In this paper, a novel switching rule of DC-AC converter is proposed, which improves the static and dynamic performance of the system. Firstly, DC-AC converter is modeled as switched linear systems without any approximation, and the stable equilibrium fields and stable parameter fields of the switched linear systems are analyzed. And then the switching rule based on min-projection strategy is proposed, which utilizes the fact that the switched linear systems is stable if it is always possible to choose a vector field that points in a direction such that the trajectory converges to the desired equilibrium fields. Also, the switching rule parameters are designed by analyzing the THD, accuracy, robustness and dynamic response of the system under various loads such as resistor, and rectifier. Finally, experiments are performed to verify that the feasibility of the proposed switching rule with better dynamic response and strong robustness.