c) Derive the closed-loop transfer function for the system shown in Figure 2 below. Show all workings. Figure 2: A generic closed-loop system.Question 1 a) Given the block diagram shown in Figure 1, name each of the signals and explain in detail what they represent in a closed-loop system. Figure 1: Block diagram of a closed-loop control system.

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c) Derive the closed-loop transfer function for the system shown in Figure 2 below. Show all workings. Figure 2: A generic closed-loop system.Question 1 a) Given the block diagram shown in Figure 1, name each of the signals and explain in detail what they represent in a closed-loop system. Figure 1: Block diagram of a closed-loop control system. b) For each of the systems with the transfer functions below, determine the following: Obtain the zero(s) of the system Obtain the pole(s) of the system Plot the zero(s) and pole(s) on the Pole-Zero Map Comment on the stability of the system (i)

G_(1)(s)=(48)/(s(s+3)(s+12)(s+30)).

(ii)

G_(2)(s)=(s^(2)+9s+14)/(s^(2)+9s+22).

(iii)

G_(3)(s)=(s+11)/(s^(2)+9s-22).

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