Invariant Probability Distribution of DC–DC Converters

This chapter is concerned with applying probability analysis to chaotic mapping of DC–DC converters. A computation method for the invariant probability distribution of a chaotic mapping is proposed by using the eigenvector method, which is to facilitate the accurate design of the DC–DC converter parameters. Moreover, the power spectral density of the input to the DC–DC converter and the average frequency of switching are deduced. Finally, some application examples are given to illustrate the effectiveness of the proposed method.