Question

5. (20 points) Consider the following unity feedback system: $R(s)$+??$K \over s+a$$30 \over s+10$?$Y(s)$ a) Find the transfer function $H(s) = \frac{Y(s)}{R(s)}$. (5 points) b) Specify the gain $K$ and the pole location $a$ so that the overall closed-loop response output $y(t)$ to a unit-step input has an overshoot of no more than 25%, and a 1% settling time of no more than 0.1 sec. (10 points) c) Verify your design using MATLAB. (5 points)

          5. (20 points) Consider the following unity feedback system:

$R(s)$+??$K \over s+a$$30 \over s+10$?$Y(s)$

a) Find the transfer function $H(s) = \frac{Y(s)}{R(s)}$. (5 points)
b) Specify the gain $K$ and the pole location $a$ so that the overall closed-loop response output $y(t)$ to a unit-step input has an overshoot of no more than 25%, and a 1% settling time of no more than 0.1 sec. (10 points)
c) Verify your design using MATLAB. (5 points)

5. (20 points) Consider the following unity feedback system:

R(s)+??K s+a30 s+10?Y(s)

a) Find the transfer function H(s) = (Y(s))/(R(s)). (5 points)
b) Specify the gain K and the pole location a so that the overall closed-loop response output y(t) to a unit-step input has an overshoot of no more than 25%, and a 1% settling time of no more than 0.1 sec. (10 points)
c) Verify your design using MATLAB. (5 points)

Added by Jose Antonio W.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Rahul Kumar

Step 1

In this case, the system is a unity feedback system, which means the output Y(s) is fed back to the input R(s). Therefore, we can write the transfer function as: H(s) = Y(s) / R(s) In this case, the transfer function H(s) can be found by applying the block Show more…

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5. (20 points) Consider the following unity feedback system R(s) K 30 5+10 Y(s Y(s) a) Find the transfer function H(s) (5 points) R(s) b) Specify the gain K and the pole location so that the overall closed-loop response output y(t) to a unit-step input has an overshoot of no more than 25%, and a 1% settling time of no more than 0.1 sec.(10 points) c) Verify your design using MATLAB. (5 points)