Robust stability analysis for current-programmed regulators
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Uncertainty models for the three basic switch-mode converters: buck, boost, and buck-boost are given in this paper. The resulting models are represented by linear fractional transformations with structured dynamic uncertainties. Uncertainties are assumed for the load resistance R = R O(1 δ R), inductance L = L O(1 δ L), and capacitance C = C O(1 δ C). The interest in these models is clearly motivated by the need to have models for switch-mode dc-dc converters that are compatible with robust control analysis, which require a model structure consisting of a nominal model and a norm-bounded modeling uncertainty. Therefore, robust stability analysis can be realized using standard μ-tools. At the end of the paper, an illustrative example is given which shows the simplicity of the procedure.

Uncertainty models for the three basic switch-mode converters: buck, boost, and buck-boost are given in this paper. The resulting models are represented by linear fractional transformations with structured dynamic uncertainties. Uncertainties are assumed for the load resistance R = R O(1 %2b δ R), inductance L = L O(1 %2b δ L), and capacitance C = C O(1 %2b δ C). The interest in these models is clearly motivated by the need to have models for switch-mode dc-dc converters that are compatible with robust control analysis, which require a model structure consisting of a nominal model and a norm-bounded modeling uncertainty. Therefore, robust stability analysis can be realized using standard μ-tools. At the end of the paper, an illustrative example is given which shows the simplicity of the procedure.