(c) A feedback loop is added to the system with gain Ke as shown in Figure Q2c. 5 3s + 2 0.2 0.45 + 1 4 KE Figure Q2c Sy

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C A Feedback Loop Is Added To The System With Gain Ke As Shown In Figure Q2c 5 3s 2 0 2 0 45 1 4 Ke Figure Q2c Sy 1 (87.95 KiB) Viewed 32 times

(c) A feedback loop is added to the system with gain Ke as shown in Figure Q2c. 5 3s + 2 0.2 0.45 + 1 4 KE Figure Q2c System with Feedback Loop i) Design Ki so that the closed-loop system achieves critical damping. 4 marks ii) iii) Why is it not possible to create an underdamped second order system from two stable first order systems in series? 1 mark On a zero-pole map show the location of the poles of the system for Kp = 0 (i.e. no feedback), Kf = K critical (i.e. the value that results in critical damping calculated in i), and Ke = 2. 3 marks The percentage overshoot of a system is given by the STE equation OS = 100 e . Assuming the specification for the system requires the fastest rise time possible whilst limiting overshoot to less than 10%, what should the value of 3 be set as and, hence, what should the gain K, be set as? 2 marks iv)