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(a) Simplify the block diagram of Figure 2(a) and find the expression of the transfer function between C(s) and R(s). H R(S) + C(s) G H2 Figure 2(a). b (b) The block diagram shown in Figure 2(b) is that of a position control of an armature- controlled DC motor. The design variables are Ky and Kd. The values of km is 8.0 while that of Tm is 0.2 seconds. Design the values of Ky and Ko such that the closed- loop system has the following characteristics: (1) Maximum overshoot to a step input is about 10%. (11) The settling time for 2% tolerant band is less than 0.5 seconds. Justify your answers. R(S) + w(s) 0(s) km 1 K TS +1 S ΚΙ Figure 2(b)