A simplified Mixed Logical Dynamic model and Model Predictive Control of Boost converter with current reference compensator

We present a simplified Mixed Logical Dynamic (MLD) model for DC-DC Boost converter using less number of binary variables and continuous variables. A constrained optimal problem is formulated and solved based on Model Predictive Control (MPC) using the simplified MLD model. The optimized switching signal derived by the MPC regulates the output voltage. The MLD modeling of the converter is accurate in the sense of no approximation or linearization being used, therefore, the performance does not depend on the working point. The controller guarantees the optimal performance of the converter because of the constrained items in the cost function of MPC. These features are impossible for the conventional controller designed by the small signal linearized model and the linear system theory. Due to the current reference of the MPC depending on the uncertain parameters, a PI compensator is proposed to adjust the current reference to reduce steady state error of the output voltage. For comparison purpose, the traditional PI controller and the approach proposed in [12] are compared to the proposed method. All PI parameters in this paper are optimized using Genetic Algorithm. Simulation results show the effectiveness and superiority of the proposed method.