Fuzzy integral sliding mode controller design for boost converters

We consider the problem of designing an integral sliding mode controller for a nonlinear boost DC–DC converter based on the Takagi–Sugeno (T–S) fuzzy approach. We give an accurate T-S fuzzy model of a boost converter. We derive an existence condition of a sliding surface in terms of linear matrix inequalities (LMIs). We give a parameterization of the sliding surface using the solution matrices of the LMI existence condition. We also give a switching feedback control strategy to guarantee the reachability condition. We show that the proposed method can robustly regulate the output voltage under bounded model uncertainties. Finally, we give some simulation and experimental results to show the practicality and feasibility of the proposed method.