Application of the discrete-time structured singular value for DC-DC converters

Abstract

-This paper considers the application of the discrete-time structured singular value to assess the robustness of systems subject to real parametric uncertainties. Since the associated uncertainty set is strictly real, the resulting /-l bounds may be discontinuous irrespective of the fineness of the frequency sweep. It is therefore necessary to seek other more reliable methods of test. One such method detailed is a discrete robust stability state-space test that is not dependent on a frequency sweep. It is shown that this is a discrete skewed structured singular value problem. For illustration purposes, a robustness analysis using both a frequency sweep and state-space transformation is performed on a forward converter with a real parameter uncertainty. The results are detailed and critically assessed.

Discrete-time Modelling and Robust Analysis of a Buck Converter

“…The discrete-time LFT model of a Buck converter is in a form suitable for robustness analysis in Matlab, and it has been verified against the continuous-time model presented in Halton et al [2008]. Fig.…”