Question

Problem 5. (15 points) (a)The closed loop transfer function of a unity feedback system is obtained as below. Calculate the steady state error of the closed loop response to the reference input $r(t) = 3 - t + \frac{t^2}{4}$, $t \ge 0$, without using MATLAB. (b)Plot the error, by using MATLAB, and validate your result in (a). $G_{cl}(s) = \frac{4(s+1)}{s^3 + 2s^2 + 4s + 4}$

          Problem 5. (15 points)
(a)The closed loop transfer function of a unity feedback system is obtained as below. Calculate
the steady state error of the closed loop response to the reference input $r(t) = 3 - t + \frac{t^2}{4}$, $t \ge 0$,
without using MATLAB.
(b)Plot the error, by using MATLAB, and validate your result in (a).
$G_{cl}(s) = \frac{4(s+1)}{s^3 + 2s^2 + 4s + 4}$

Problem 5. (15 points)
(a)The closed loop transfer function of a unity feedback system is obtained as below. Calculate
the steady state error of the closed loop response to the reference input r(t) = 3 - t + (t^2)/(4), t ≥ 0,
without using MATLAB.
(b)Plot the error, by using MATLAB, and validate your result in (a).
Gcl(s) = (4(s+1))/(s^3 + 2s^2 + 4s + 4)

Added by Katherine E.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Daniel Alva

Step 1

The transfer function of the closed-loop system is given by: T(s) = G(s) / (1 + G(s)H(s)) where G(s) is the transfer function of the plant and H(s) is the transfer function of the controller. In this case, the transfer function of the plant is 1 (unity Show more…

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Problem 5. (15 points) The closed-loop transfer function of a unity feedback system is obtained as below. Calculate without using MATLAB. (b) Plot the error using MATLAB and validate your result. Gc(s) = 4(s+1) s^3 + 2s^2 + 4s + 4