Consider a system with transfer function g(s) = y(s) u(s) s +2os+ (a) let o,- rad/s, 0.6 and the input be a unit step function. then y(s) can be written as y(s) = s(s^2 +1.2s +) find and plot y(t), the inverse laplace transform of y(s), using matlab. time of the four time responses. time responses. (b) repeat (a) for ? = l, ç= 1.4, and ? = 0.2, and compare the rise time, overshoot, and settling (c) repeat (a) for a, = 2 rad/s and compare the rise time, overshoot, and settling time of the two