LMI Robust Control Design for SIDO Boost Converter Based on SFG Modelling Method

A robust control design process based on a linear Matrix Inequalities (LMI) for a Single Inductor Multi Output (SIMO) boost converter has been presented in this paper. Considering complicated multi-stages operation of SIDO converter, Signal Flow Graph (SFG) modelling was used to predict all behavior of the converter. Using the SFG model, nonlinearities and uncertainties was modelled as a convex polytope for LMI design constraints. This method guarantees a certain perturbation rejection level and a region of pole location. The derived parameters from LMI were applied on state-feedback coefficients in Matlab/Simulink to show the validity of the presented LMI method. Finally, the obtained results have been compared with a conventional PI controller.