State space modeling of a BUCK converter and designing a controller

Abstract

Modeling is the mathematical representation of a circuit. For mathematical representation knowledge of state space modeling or state space representation is required. For state space representation, it is necessary to define the state variable of a circuit. State variable is the kind of variable that can be represented in the form of integration. Mathematical representation of the actual circuit which represents the output with respect to the input in non-linear is known as large signal representation. It is not possible to control the circuit when it is in large signal model/representation. For controlling it is necessary to bring the circuit in the specific operating range at a certain steady state point. Around this point range the circuit is called linearized.Applying any of the specific control technique on the linearized circuit we will design the controller .Controller will sense the output and determine the deviation where from it will be determined how much D (Duty Cycle) will be needed to add or subtract with the steady state D in order to operate the converter properly.