Aiming at the nonlinear bifurcation and chaos behavior of the second-order inverter under the linearized model, the control method is added to increase the stability domain and disturbance immunity. Firstly, established the second-order coefficient linear iteration model of inverter, recreated the chaotic behavior of system by using bifurcation diagram and folding figure, sought Jacobian matrix and equilibrium point of the system. Secondly, the delay feedback control is added and the limiting conditions of the control parameters are given based on the Juri criterion. Finally, numerical modeling experiments are unfolded to declaration the meliority of the chaos control method. The results indicate that the bifurcation point of the proportional parameter K of the system moves from 0. 573 to 0. 973 after the delay feedback control is applied, and the system still runs stably when the input voltage of dc power supply changes abruptly. The results show that the stability domain of the second-order inverter is increased and the overall disturbance immunity is enhanced after the delay feedback control is applied.