g Jawaban ditulis tangan pada kertas FigureHVS 3-84 atau kertas Folio bergaris.
Tuliskan Nama, NPM, kelas Electrical dan tanda circuit.
tangan.
um system. Nama File: NPM_NamaMahasiswa
Bentuk File: Pdf atau jpg/jpeg.
Ukuran
mples 3-8 and 3-9, file maksimum
consider the 1 MB.
shown in FigureDikumpulkan
3-82. Assume langsung
B-3-20.masing-masing
Consider the paling lambat:
electrical Hari
circuit Jumat,
shown Tanggal
in Figure 22 Oktober 2021,
3-85.
ed pendulum isjam 10.00
rn and ke alamatObtain
is evenly email:the ujack05@yahoo.com
transfer function E,(s)/E,(s) by use of the block
of the rod. (The------------------------------------------------------------------------------------------------------------------------------------------
center of grav- diagram approach.
! ($)
ed at the center1.of the rod.) As-
Dari gambar berikut ini carilah fungsi alih !"($) dan buatlah diagram bloknya.
ve mathematical models for the &
rential equations, transfer func-
ions.
E1C06 11/03/2010 21:23:9 Page 327
E1C06 11/03/2010 21:23:9 Page 329
2. Dari gambar berikut Figure 3-85 z = 0,7 dan 𝜔( = 4 rad/sec, dengan input unit step,
ini dengan
tentukan : Electrical circuit.
Problems
8. Use B-3-21.MATLABDerive the and the
transfer Symbolic
function of the electrical cir- 15. Given the un
Math Toolbox
cuit34.shown
Repeat inProblem 33to
Figure 3-86. generate
forDraw a schematic
[Section: 6.4] a
diagram of ana. Find the range of K for stability.
analogous mechanical system.
Routh table to solve Problem
Kðs $ 1Þðs $ 2Þ 3. b. Find the frequency of oscillation wh
GðsÞ ¼
stem. GðsÞ ¼ 2 is marginally stable.
þ 2Þðs þ 2s þ 2Þ
er system. 9. Determine whether ðsthe unity feedback 41. Using the Routh-Hurwitz criterio
fer functions X , ( s ) / U ( s ) and 35. For the system shown in Figure P6.8, find the
al system shown in Figure a. Rise system
3-83.time. of Figure P6.3 is stable if
value of gain, K, that will make the system oscil-
unity feedback systemtell howof Figure
ma
[Section: 6.4]
In termsb. of Peak [Section:
time.w,, the
5 and 6.2]
late. system
Also, find
shownthe frequency
in Figureof5-5(c) can be modified to thatright
oscillation. shown half-pl
c. Maximum overshoot. [Section: 6.4] K
GðsÞ ¼
in Figure 5-6, and the closed-loop transfer function C ( s ) / R ( s )given by Equation
d. Settling time 240 axis.
sðs þ [Sectio
(5-9)
1Þðs þ 2Þðs þ 5
can be written R(s) + GðsÞ ¼ + 1 C(s) 16. Repeat Pr
Kðs þ 1Þðs þ 2Þðs þ 3Þðs þ 4Þ
s(s+7)(s+3)
3. Dengan menggunakan– kriteria Routh-Hurwitz,
– a. Find the
dari gambar berikut ini tentukan range
range of K for stability.
nilai
K untuk kestabilannya. b. Find the value of K for marginal s
s 17. Consider the c. Find the actual location of the close
5
R(s) + E(s) C(s) row wasstabo
when the system sis marginally
This form is called the standard form of theG(s)second-order system.
42. Find the range of Kof to the
keep theorigi
syst
Figure 3-86 FIGURE P6.8
The dynamic behaviorElectrical
of the – second-order system can then be described in terms of
Figure P6.9 stable. [Section: 6.4]
circuit.
36. Given the unity feedback system of plane, in th
two parameters 5 and on. If 0 < 5 < 1, the closed-loop poles are complex conjugates
Figure P6.3 with [Section: 6.4]
dengan [Section: 6.3
oblems and lie in the left-half s plane. The FIGURE
system P6.3
is then called underdamped, R(s) + andE(s) the tran- K
Ksðs þ 2Þ
sient response is oscillatory,
10. Use MATLAB to ðs findIf 5 = ¼0, the
GðsÞ 2 transient
the
$ 4s þ 8Þðs
response
þ 3Þ pole
does not die
– out. If 5 =s 1,
the system is called critically damped. Overdamped systems correspond to 5 >s71.
locations for the system of s–1
We shall now solvea.for the
Find theresponse of the
range of K for system shown in Figure 5-6 to a unit-step
stability. 6s2 + 2s + 1
Problem 9. s
input. We shall consider b. Find
threethe different
frequency ofcases: the
oscillation
Apago underdamped
when the system ( 0 <
PDF Enhancer FIGURE 5 < I), critically
s5
is marginally stable. P6.9
damped ( 511.= IConsider the unity( feedback
) , and overdamped 5 > 1) cases. system of Figure P6.3
with37. Repeat Problem 36 using MATLAB. 43. Find the value of Ks4in the system o
(1) Underdamped case ( 0 < 5 < 1): In this case, C ( s ) / R ( s )can be written Figure P6.10 that will place the closed
38. For the unity feedback system of Figure P6.3 with 3
1 loop poles as shown.s [Section: 6.4]
GðsÞ ¼Kðs þ 2Þ
GðsÞ ¼ 2 4s2 ðs2 þ 1Þ s2 %
