Question

It’s a one question with three parts not three different questions. So answer them all please.

Power Electronics.

The state variable description of a linear dynamical system has the form x=Ax+Bu y=Cx + Du Where x is a column vector containing the n state variablesand x, which is also a column vector containing the first derivative of each state variable. The input is ul) and the output is y(). The output may or may not be a state variable, but it must be a linear combination of the state variables and of the input as shown in (2). Equation (1) is a system of coupled first-order differential equations that are linear combinations of the state variables. The matrices A, B, C, and D contain the coefficients of the linear equations. For example, consider the following two-port network. Rioad votl A state variable representation can be derived by writing a Kirchhoff's Voltage Law equation and a Kirchoff s Current Law equation. dr dt Road Defining the inductor current it and the capacitor voltage vc as this system's two state variables and recognizing by inspection thaty() 0(1)-vo, we can rearrange (3) and (4) togel-Ica-B 깊 B-Bc-b 1].and.eind. di I dr While it is not essential, it is common in electrical circuits to assign the inductor currents and the capacitor voltages to be the state variables because it simplifies the derivation of the system description. A valuable result of capturing the system dynamics in the form of

Answer 1