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E(s) The unity feedback system of Figure I has a transfer function G(s) = a ramp input,r(t) = 0.5tu(t). 1. R(s) + What is the system type E(s) G(s) Figure 1 C(s) s(s+a) and is to follow the inns

E(s) The unity feedback system of Figure I has a transfer function G(s) = a ramp input,r(t) = 0.5tu(t). 1. R(s) + What is the system type E(s) G(s) Figure 1 C(s) s(s+a) and is to follow the inns

Introductory Circuit Analysis (13th Edition)
Introductory Circuit Analysis (13th Edition)
13th Edition
ISBN:9780133923605
Author:Robert L. Boylestad
Publisher:Robert L. Boylestad
Chapter1: Introduction
Section: Chapter Questions
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The unity feedback system of Figure 1 has a transfer function G(s) = = a ramp input,r(t) = 0.5tu(t). 1. 2. 3. 4. 5. R(s) + E(s) G(s) Figure 1 E(S) C(s) K s(s+a) . and is to follow What is the system type Find the value of Kand a such that the steady-state output position differs from the input position by 0.05 of the input velocity. The natural frequency of the closed-loop system will be wn = 4 rad.s-1. Deduce the closed-loop system's damping ratio . Calculate the sensitivity of the closed-loop transfer function to changes in the parameter K. How you can reduce the sensitivity? Find the sensitivity of the steady-state error to changes in parameter K and a. Conclude.
Transcribed Image Text:The unity feedback system of Figure 1 has a transfer function G(s) = = a ramp input,r(t) = 0.5tu(t). 1. 2. 3. 4. 5. R(s) + E(s) G(s) Figure 1 E(S) C(s) K s(s+a) . and is to follow What is the system type Find the value of Kand a such that the steady-state output position differs from the input position by 0.05 of the input velocity. The natural frequency of the closed-loop system will be wn = 4 rad.s-1. Deduce the closed-loop system's damping ratio . Calculate the sensitivity of the closed-loop transfer function to changes in the parameter K. How you can reduce the sensitivity? Find the sensitivity of the steady-state error to changes in parameter K and a. Conclude.
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