Optimizing LQR and pole placement to control buck converter by genetic algorithm

Power supplies normally provide a constant output voltage. In most of the applications a DC-DC converter is controlled by a voltage mode or a current mode controller. The DC converters are employed to feed electric vehicles, telephone sets and civil invertors, or for induction motors and frequency control. In this regard, optimal exploitation of DC transforms by classical controllers has been a controversial issue in reputable journals. Due to their switching property included in their structure, DC-DC converters have a non-linear behavior and their controlling design is accompanied with complexities. But by employing the average method it is possible to approximate the system by linear system and exploiting linear control methods. In this paper, control methods to control buck converters by linear quadratic regulator (LQR) controllers as well as optimal locating of the poles by genetic algorithm have been employed. All the analysis and simulations to duplicate on the above converter by MATLAB software were performed. The simulation results show the improvement in voltage control response.