Problem 1: Given the second-order RLC systems. The ABC state space matrices for the

systems are as shown. Take R = 19, L =1/2 H, C =1/2 F

• Compute the state transition matrix in s-frequency and time domain (s) & (t).

• Compute the state response (*, (t) for zero input and initial conditions, xo = 111.

x2(t) 1

- Find the transfer function for the system.
- Find the damping ratio (S) and natural frequency (Wn) for the system.

Solution is attached in the file