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Compared with PI control, model-based control has the advantage of fast dynamic response, so it is widely used in the field of power electronics. However, the uncertainty of system model parameters will affect the robustness of the system.For the model of DC-DC boost converter, the input voltage and load equivalent resistance are unknown. To solve the problem of unknown parameters, Luenberger state observer is used to estimate the real values of input voltage and load equivalent resistance in real time. The estimated true value is updated to the control law derived by backstepping method in real time to control the output of DC-DC boost converter to track the reference voltage. Finally, Simulink simulation proves the effectiveness and robustness of the method.