Please write detailed and understandable, ty1.
Use the Routh-Hurwitz criteria to determine whether the unity feedback system, Y(s), is stable. The unity feedback system, Y(s), is determined by:
C(s) G(s) H(s) Y(s) = R(s) / (1 + G(s) H(s))
where,
G(s) = K(s+2) / (s(s+1)(s+3))
H(s) = 1
R(s) = 1
a. Use the Routh-Hurwitz criteria to determine whether the unity feedback system, Y(s), is stable. (5 points)
b. Determine the range of K. (5 points)
c. Prove your results by plotting the step response for two values of K. (10 points)
a. One value of K to demonstrate stability.
b. One value of K to demonstrate instability.