Abstract:
The inherent non-linear behavior of switch-mode power supplies complicates the task of
computing their linear models, which are essential for a model-oriented control design of DC–DC
converters. In a model-oriented control design approach, the accuracy of the plant model directly
influences the performance of the control system as the plant parameters tend to be linked to the
controllers’ gains. Moreover, the extractions of linear dynamic models of high-order non-linear plants
such as DC–DC converters are laborious and mathematically intractable. Therefore, in this paper,
a generalized expression that represents either the audio-susceptibility or the control-to-output
voltage transfer function for voltage-mode control is proposed. The proposed generalization reduces
the task of computing the small-signal model of a given converter to simple calculations of coefficients
of generalized transfer function/expression. It is shown that the coefficients of the generalized model
can be deduced by inspection, directly from the circuit diagram, allowing the whole model to be
computed by inspection. Additionally, the proposed modelling technique will be shown to have
secondary use of verifying accuracy even when conventional modelling techniques such as state-space
averaging or circuit averaging are used.
