State controller for buck converter

The average state space model of the buck converter has been used in order to design the PI and state controller. Simple analytical expressions in terms of the circuit components are derived for frequency responses of time averaged (continuous) power-stage for use in designing and understanding the behavior of corresponding switched power stage. Such obtained models enable the designing of PI and state controller in order to control the converter output voltages. Responses from analog computer simulation of the switched and averaged power stages agree well and, in turn, confirm the analytical prediction.