Question

X(s) H(s) Y(s) X(s) (? G(s) ? H(s) + + Open Loop Closed Loop The open loop transfer function of a system is given by $H(s) = \frac{-10}{s^2(s+3)}$ Y(s)

          X(s)
H(s)
Y(s)
X(s)
(?
G(s)
?
H(s)
+
+
Open Loop
Closed
Loop
The open loop transfer function of a system is given by
$H(s) = \frac{-10}{s^2(s+3)}$
Y(s)

X(s)
H(s)
Y(s)
X(s)
(?
G(s)
?
H(s)
+
+
Open Loop
Closed
Loop
The open loop transfer function of a system is given by
H(s) = (-10)/(s^2(s+3))
Y(s)

Added by Brian C.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Nicholas Mogoi

Step 1

To calculate the impulse response, we can use the inverse Laplace transform of the transfer function H(s). In this case, the transfer function is given by: H(s) = -10s^2/(s+3) To calculate the impulse response, we need to find the inverse Laplace transform of Show more…

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Use MATLAB to calculate and plot the impulse response of the open loop system. Also provide a pole zero map of the open loop system. Design an all-pass filter that when put in series with the open loop system, produces critically damped overall response. Calculate the steady state value of error E(s) = X(s) - Y(s) when X(s) = 1/s (step response) using the final value theorem. Assume that you only know the poles of the open loop system to within +/- 0.1 of true value. Simulate this condition by adding +/-0.1 to the poles and zeros of the all pass filter. Use the final value theorem to estimate the steady state step error for each case. Derive the closed loop transfer function Q(s) in terms of the transfer functions H(s) and G(s). Open Loop Closed Loop The open loop transfer function of a system is given by -10 H (s) = s2 (s+3)