Power System Analysis and Design (MindTap Course List)
6th Edition
ISBN: 9781305632134
Author: J. Duncan Glover, Thomas Overbye, Mulukutla S. Sarma
Publisher: Cengage Learning
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1. Consider the following a unity feedback control system.
R(s) +
E(s)
500(s+2)(s+5)(s+6)
s(s+8)(s+10)(s+12)
-Y(s)
Find the followings:
a) Type of the system
b) Static position error constant Kp, Static velocity error constant Ry and Static
acceleration error constant Ka
c) Find the steady-state error of the system for (i) step input 1(t), (ii) ramp input t 1(t),
(iii) parabolic input t² 1(t).
2. Repeat the above problem for the following system.
R(s) + E(s)
500(s + 2)(s + 5)
(s+8)(s+ 10)(s+12)
Y(s)
3. Repeat the above problem for the following system.
R(s) +
E(s) 500(s+2)(s+4)(s+5)(s+6)(s+7)
s²(s+8)(s+10)(s+12)
Y(s)
4. Consider a unity (negative) feedback control system whose open-loop transfer
function is given by the following.
2
G(s) =
s³ (s + 2)
Find the steady-state error of the system for each of the following inputs.
=
a) u(t) (t²+8t+5) 1(t)
b) u(t) = 3t³ 1(t)
c) u(t) (t+5t² - 1) 1(t)
=
1
2. For the following closed-loop system, G(s) =
and H(s) = ½
(s+4)(s+6)
a. Please draw the root locus by hand and mark the root locus with arrows. Calculate the origin
and angle for asymptotes.
b. Use Matlab to draw the root locus to verify your sketch.
Input
R(s)
Output
C(s)
KG(s)
H(s)
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