Problem 2:Consider the following transfer functions. (a) Is this a second order system? Explain. For the transfer function, G(s). Find the natural frequency, ,, and the damping ratio, $, of

the system. (b) For G(s) with a unit step input, find the settling time, peak time, percent overshoot,and rise time, Please write the units for full credit. (c) For G(s), find the poles of the system. Is the system overdamped, underdamped critically damped, or undamped. Explain. (d) Write a Matlab code to simulate the unit step response of G(s).