The unity feedback system of Figure P7.1 has a transfer function and is to follow a ramp

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The unity feedback system of Figure P7.1 has a transfer function

and is to follow a ramp input, r(t) = tu(t), so that the steady-state output position differs from the input position by 0.01 of the input velocity (e.g., e(∞) = 1/K_v= 0.01). The natural frequency of the closed-loop system will be ω_n = 5 rad/s.

Find the following:

a. The system type

b. The values of K and α

c. The closed-loop system’s damping ratio, ζ

d. If K is reduced to 4 and α=0.4, find the corresponding new values of e(∞), ω_n, and ζ.

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Control Systems Engineering

ISBN: 9781118170519

7th Edition

Authors: Norman S. Nise

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Question Posted: May 17, 2021 08:32 AM

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The unity feedback system of Figure P7.1 has a transfer function and is to follow a ramp

Question:

C(s) G(s) = K E(s) s(s+ a)

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a Type No of poles of open loop at origin 1 b Transfer Func...View the full answer

Control Systems Engineering

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