Consider a unity negative feedback control system. Assume that the plant G(s) does not have an integrator and you are using a proportional compensator K. You want to increase the closed-loop step tracking performance . Currently, the steady state tracking error of the closed-loop system with K=K_old to a unit step signal is 0.1. You would like this error to be reduced to 0.02 with a new proportional compensator K=K_new. How does the proportional gain have to change to make this possible? We assume that the closed-loop is stable for all values of the proportional gain. Do not guess as incorrect answers will incur a penalty. O K_new = 6.33 K_old K_new = 5.44 K_old O K_new = 5 K_old O K_new = 4.66 K_old

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QUESTION 3
Consider a unity negative feedback control system. Assume that the plant G(s) does not have an integrator and you are
using a proportional compensator K. You want to increase the closed-loop step tracking performance. Currently, the steady-
state tracking error of the closed-loop system with K=K_old to a unit step signal is 0.1. You would like this error to be
reduced to 0.02 with a new proportional compensator K=K_new. How does the proportional gain have to change to make
this possible?
We assume that the closed-loop is stable for all values of the proportional gain.
Do not guess as incorrect answers will incur a penalty.
K_new = 6.33 K_old
K_new = 5.44 K_old
K_new = 5 K_old
K_new = 4.66 K_old
Transcribed Image Text:QUESTION 3 Consider a unity negative feedback control system. Assume that the plant G(s) does not have an integrator and you are using a proportional compensator K. You want to increase the closed-loop step tracking performance. Currently, the steady- state tracking error of the closed-loop system with K=K_old to a unit step signal is 0.1. You would like this error to be reduced to 0.02 with a new proportional compensator K=K_new. How does the proportional gain have to change to make this possible? We assume that the closed-loop is stable for all values of the proportional gain. Do not guess as incorrect answers will incur a penalty. K_new = 6.33 K_old K_new = 5.44 K_old K_new = 5 K_old K_new = 4.66 K_old
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