Abstract

Due to the nonlinearity of DC-DC converters, small-signal methods do not guarantee the stability of DC-DC converters under any large-signal disturbances. In this paper, semi-tensor product of matrices with Lyapunov stability theorem is firstly adopted for analyzing the large-signal stability of DC-DC converters. A buck converter with proportional-integral (PI) controller is used as an example. Based on the Lyapunov stability theorem and the state equation of the buck converter, a positive-definite Lyapunov function including a nonlinear integral of type Lurie is adopted in this paper. Moreover, the large-signal stability criteria of the buck converter, namely, the condition for ensuring the negative definiteness of the derivative of the Lyapunov function is obtained based on semi-tensor product of matrices. Finally, simulation and experimental results are given to verify the correctness of the large-signal stability analysis approach based on semi-tensor product of matrices with Lyapunov stability theorem.

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