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Q4. A second-order system is underdamped with a damping ratio of 0.4 and a natural frequency of 10Hz. Find: a) the transfer function b) the time response when it is subjected to a unit-step input c) the percentage overshoot with such an input d) the rise time Hint: use the command stepinfo() Q5. Given the transfer function: G(s) = 100 / (s^2 + 15s + 100) Find: Tp, PO, Ts and Tr. Q6. For the sinusoidal input u(t) = sin(10t) applied to the system: G(s) = 1 / (s + 2), determine the steady-state output of the system.

          Q4. A second-order system is underdamped with a damping ratio of 0.4 and a natural frequency
of 10Hz. Find:
a) the transfer function
b) the time response when it is subjected to a unit-step input
c) the percentage overshoot with such an input
d) the rise time
Hint: use the command stepinfo()

Q5. Given the transfer function: G(s) = 100 / (s^2 + 15s + 100)
Find: Tp, PO, Ts and Tr.

Q6. For the sinusoidal input u(t) = sin(10t) applied to the system: G(s) = 1 / (s + 2),
determine the steady-state output of the system.

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Q4. A second-order system is underdamped with a damping ratio of 0.4 and a natural frequency
of 10Hz. Find:
a) the transfer function
b) the time response when it is subjected to a unit-step input
c) the percentage overshoot with such an input
d) the rise time
Hint: use the command stepinfo()

Q5. Given the transfer function: G(s) = 100 / (s^2 + 15s + 100)
Find: Tp, PO, Ts and Tr.

Q6. For the sinusoidal input u(t) = sin(10t) applied to the system: G(s) = 1 / (s + 2),
determine the steady-state output of the system.

Added by Anne P.

University Physics with Modern Physics

Hugh D. Young 14th Edition

Instant Answer

Solved by Expert Adi S

06/18/2023

Step 1

Substituting the given values, we get: G(s) = (10^2)/(s^2 + 2(0.4)(10)s + 10^2) G(s) = 100/(s^2 + 8s + 100) b) Show more…

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Q4. A second-order system is underdamped with a damping ratio of 0.4 and a natural frequency of 10 Hz. Find a) the transfer function b) the time response when it is subjected to a unit-step input and the rise time. Hint: use the command stepinfo. Q5. Given the transfer function: G(s) = (s + 15) / (s + 100), find the peak time (Tp), percent overshoot (POT), and rise time (Tr). Q6. For the sinusoidal input u(t) = sin(10t) applied to the system: G(s) = (s + 2), determine the steady-state output of the system.

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