1.Consider the system as shown in Figure 4.
(i).Determine the closed loop transfer function C(s)/R(s).
(ii) Evaluate for Kl and K2, so that the peak time, tp for a unitstep response is
0.8 sand the maximum overshoot, %OS is 20 %. Using the samenatural
frequency, determine the value of K2 in order to give criticaldamping.

2.Given the unity feedback of Figure 5, evaluate the followingusing the Routh
Hurwitz criterion.
(i) The range of K that keeps the system stable.
(ii) The value of K that make the system oscillate.
(iii) The frequency of oscillation when K is set
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