Robust Control for Boost Converters with Anti-Windup Compensation

This work presents the design of state-feedback robust control laws for boost power converters. First, an equivalent circuit of the boost converter is presented and a nonlinear (bilinear) state-space representation is obtained. The system is linearized around an equilibrium point, such that linear robust control techniques can be applied. An integral action is added to the linearized system, such that step-like disturbances can be rejected in closed-loop. A saturation restriction on the control signal is then imposed to limit the operation of the system in a region where the linear model approximation is valid. In order to improve the closed-loop performance, an H-infinity control design with pole placement restrictions based on linear matrix inequalities is considered. Finally, a static anti-wind-up compensator is designed to reduce possible integral wind-up effects imposed by the saturation. The resulting control system is validated by PSIM simulation software, where high frequency switching and other unmodeled effects neglected in the modeling stage are considered.