Robust control for buck converter based on optimization

This work develops a technique to design a feedback stabilizing control law for an unstable autonomous switched system. This method is analyzed and then applied to the DCDC buck converter when considering the uncertainty of the parameters in the model. Based on this model, a control law is design to allow the output voltage track a reference voltage when the load is changed. The control objective is to find the switching strategy where the state of the system converges to the equilibrium in the presence of the uncertainty of the system. The design problem is cast into an optimization problem which can be solved via the LMI toolbox in Matlab. The tracking error is bounded in a certain region. The simulation results using Simulink in Matlab are presented to validate the capability of the control system.