home work please help 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 1E(S)C(s)Ks(s+a).and is to followWhat is the system typeFind the value of Kand a such that the steady-state output position differs from the inputposition by 0.05 of the input velocity. The natural frequency of the closed-loop system willbe 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.

Type: It is defined as the number of open-loop poles in origin.The transfer function of an open loop…

Answered: E(s) The unity feedback system of…

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)

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Publisher:Robert L. Boylestad

Chapter1: Introduction

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home work please help

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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