A plant has the transfer function given by G(s) (1 s)(1 0 5s) and is controlled by a proportional controller G (s) K, as shown in the block diagram in Figure 5 42 The value of K that yields a steady state error E(s) Y(s) R(s) with a magnitude equal to 0 01 for a unit step input is a K 49 b K 99 c K 169 d None of the above In Problems 14 and 15, consider the control system in Figure 5 42, where 6 G(s) and Ge(s) (s 5)(s 2) K $ 50'

Question

A plant has the transfer function given by G(s)   (1   s)(1   0 5s) and is controlled by a proportional controller G (s)   K, as shown in the block diagram in Figure 5 42  The value of K that yields a steady state error E(s)   Y(s)   R(s) with a magnitude equal to 0 01 for a unit step input is  a  K   49 b  K   99 c  K   169 d  None of the above In Problems 14 and 15, consider the control system in Figure 5 42, where 6 G(s)     and Ge(s)   (s   5)(s   2) K $   50'

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Question: A plant has the transfer function given by G(s) = (1 + s)(1 + 0.5s) and is controlled by a proportional controller G.(s) = K,

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