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 (LFTs) with structured dynamic uncertainties. Uncertainties are assumed for the load resistance R=R/sub o/(1+/spl delta//sub R/), inductance L=L/sub o/(1+/spl delta//sub L/), and capacitance C=C/sub o/(1+/spl delta//sub 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 design, which require a model structure consisting of a nominal model, and a norm-bounded modeling uncertainty. Therefore, a robust controller design under parameter uncertainties can be obtained instead of the deterministic approach widely used.
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机译：本文给出了三种基本开关模式转换器buck，boost和buck-boost的不确定性模型。结果模型由具有结构化动态不确定性的线性分数变换（LFT）表示。假设不确定性为负载电阻R = R / sub o /（1 + / spl delta // sub R /），电感L = L / sub o /（1 + / spl delta // sub L /）和电容C = C / sub o /（1 + / spl delta // sub C /），这些模型的兴趣显然是由需要具有与鲁棒控制设计兼容的开关模式DC-DC转换器模型引起的，这就要求模型结构由名义模型和范数限制的模型不确定性组成。因此，可以获得参数不确定性下的鲁棒控制器设计，而不是广泛使用的确定性方法。
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