A plant has the transfer function given by G(5 ) = (1 + 5)(1 + 0.55) and is controlled

Chapter 0, Problem 13

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A plant has the transfer function given by G(5 ) = (1 + 5)(1 + 0.55) and is controlled by a proportional controller Gc(s) - K, as shown in the block diagram in Figure 5.50. 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 Skills Check 367 c. K = 169 d. None of the above In 14 and 15, consider the control system in Figure 5.50, where G{s) = - and Gc(s) = ^rr. w (s + 5)(s + 2) c w s + 50

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