Design an electric circuit with at least three storing elements and one resistance. The circuit must contain at least three state variables. The input can be DC voltage source or DC current source. All the initial conditions can be zero for the project.

a)Define your system with detailed: schematic, elements, components, values of the components, etc. Draw schematic in MATLAB.

b) Obtain the mathematical model of the electric circuit (mathematical equations, state space matrix, and block diagram). Draw block diagram in MATLAB.

c)Obtain your output waveform in MATLAB by using schematic, state space matrices, and block diagram.

d)Find the transfer function of your output.

e)Find your output step response after t > 0 in MATLAB. You can use inverse Laplace feature of MATLAB.

f)What can you say about the stability of your system according to output waveform?

g)If when t = 1 sec, input source value is increased 20%, obtain the output waveform of the circuit by using MATLAB.

h)Determine the rise time, peak time, settling time of the response.

i)Examine the same system (in part a) with AC source in MATLAB.

j)Determine design requirements of your DC system and test your system step response. If needs, adjust your system step response by using Control System Designer in MATLAB.