A unified uncertain model of basic DC-DC converters from parametric perspectives

The aim of this work is to build a unified model for basic DC-DC converters that subject to parametric uncertainties. Toward this end, the three basic DC-DC converters, buck, boost, and buck-boost, operating in the continuous conduction mode are formulated based-on linear fractional transformations. In general, the parameters such as inductance, capacitance, and resistance are considered. In this work, however, in addition to those parameters, we treat the input voltage as one of the parameters that subject to large variations. A unified and systematic approach that is suitable for robust control framework, either sliding-mode control or other robust control, is established.