Ansani Vaga
PAGE
DATE
11
Polax
Pat (Nyguist plot)
h palas plat o4_a sinusaioda! hanfindtin.
OLwC0
phase
aapte Y
Clean pally tbrcbinal
/aatedl
Jh pllasplat ioalis_called 0ngulst pal
Manlntur
phAAe Suhr
Suslaaith
hmipinun phase Sysla
dall pales4 z8s hn ti/
hal
splane
WonALnÝmao
Mxinur
phask ysleoJho poles_aue ethe le
Not cauk zeoposihdn
-
nde.
Pe2
oa,
S1+5/t2)
sketch he phs plh
nsar l
PAGE
DATE
Soe|
G)=
SLI+S2(S+2)
M GG
jelja112jn)
Je
LGj)=-40'ar
w)-aa
o,-90)
-(0,L-2s0°).
re 1, day 3
90
w
2
M : o 8S
(o35,18o)_
w hene ya
palo plut aehes-ve eal azis 1-
msas Vagav
PAGE l I3
DATE
ovded
sC+8T
pe-1
oro
2nd ce
Gi2==
tjwT)
M
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=0
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00,/-90)
-90
+S T
pe-
ades 1
4
M-Gliel=
+jwT
M
to-
=
wT)_
EO
(Lo°)
WE
(010
w
Vagp
hnsa , Vagp
PAGE
DATE: 1
4
i i i Gs)=
UtsTDC1EsL
pe O,
den=2
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1+JuI)l1* ju7,)
M
-20
4lp=
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180
(oL-
180
-90
s(STDC+ST2
ovelesse
Nygut Plot-
3tabilit
6T E G6) =_lstz)
s(s+P
velb|l
C:LT.
G
R
R(
+G/HIS)
+21
s(st
T
S+2)
s(S+h2
Ny
Plut -eLwL
Polas
Plat
1+G)
s CstR+ (s+2,
s (StR
okwi-
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A
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Ansa Vagov
PAGE
5
DATE:/
.Zeos
ala
F2
poles 4 C)
F_Apale 46)
Stabil= uken a
Zeus _EO)
in lef hly_
Ansas Vagar
PAGE: 6
DATE
NyquLsT_ PLoT
NP js tomplel fugnentcy tspar
w
I1
o
w
w=-O
OLIE
Wendthe _claseel leoppale nngh s-plane
e rarge
K_laluefo 3ysln stabilst
We ard GM4 L,Wey4 pef1
APJp ghl
Encirclement
s-plane Onalyss fechaiqne
Pactu
Epclosesnent
XB
Ansau Vagar
PAGE F
DATE
Eacinclere
A_pol
A1Areqlgn in a tomplestunehon plane
sad
se Cenclrclhlby 'a closeol pathi t AfoundCavercd sph he path
Caesptetia alirechna
Encloser22d
A polad
sa
a reqps Ja a Lampe_uaehan plane
h he enzloseel ha clkseelpata y
LDAth M travers
athe reihea
alieeha
Go)HIS) =S+
34
Me pi
S=
3
GIs) Hs2 plaae
S-plane
St
w
Polar plt
ws0
splane
muppr
Ansu Vaga
PAG 8
DATE: I I
-
46)Hts)=
sae
S-2
3
S=plane
G6)HLS)-plans
-nlen sdeat path
4/s)Hc)
Ma
o-1to-f)=-35-
3j
j
O-4s
o -(o -4)
Y l o To -(is0+4s
S
-22SS
GH)=s-2
Con
sntou
A:"
f2 3
S-plant
4LAS) 5 -2
B
Asasilegar
PAGE: 9
DATE
s
426) M
Poles-
Mappl
ConhudA_
Plane
Counkude
G6)H
Cbek wise
plane
Anhiclarkunde
pole- Mapi
ne hne encirclemen
Apale
uice
åpale mapi
nn timeencicclemaad
Zend
Coto
S-pla
A
encirekmeu
Mypi
clock s e
mayppiE
Co nntw
49+eSDla
one-ime
enCYzlene
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tne
tme
clackwis
encirdemat
encixelees
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clsck wS
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hdiclockwne
p
(t
sa +
encir lened A
O
Ansar
Vanpm
PAGE: o
DATE
One_
pole
S-pluar
Gls)Hts)_plane
to
pol
Zerd
S-plae
4C)Hl_pele plana
two
Pole
on
N
I
smi Vagar
PAGE:
DATE
N
P-Z
sleen
OLIE
CLIE
R H.S
G(
+G(5) H(s
tGLDHL)=o)
unstable
CHe
G6) Hls
Contuw
A
N=P- Z
poles CLTA
4L)HLs)
N
It0) HI) =CE_
Ns=
N[S)= Zeus
DI's)
OLIE
L ) e oles
DIs)PaleaDLIE
N
Matp +G[3)H(S S
-140
N() +Dls)
l-
N -l
IE
NI)+D EPde2es
Arvani Vhgan
PAGE:12
DATE II
a a
Contour_A, hat enci1des tha enhre
qhi half-plare_JA mappel Thropgh G0)
f6) Hts),
HIS),
Th
thepumbey s closedoap pale
2,
0L7
h e Thheplane eghals the numba
22enls poles P thdne nha gMhel
planeminsKe numbec y
Nyguiolngsa.
Launti-Lbdéulse
Nygunt
J
plt m
ue:A unity_eedlhach sysen tas a_doap banday
nehe
G6) =_
So
(st)[st2)
lsa Nyaurd Caitosaa s
Sta bilg l
ho close
s he peadasp
Aas4) =_
deteiairehe sysl
Jeap
opfrqusaiáa
Lst2lst2)_
Put
sjo
4tw)=
50
Liwt)Lwtn)
wite he eguatunsJo
m4niludk 4i)
and phase angteL
Ansari Vaga
PAGE: 133
M-Jx4yDATE:
M Gli)= 50
w'tH
2
50
2
2
w
LAstspam
0 to_
Nuauisiplat
inpala plt
uloo platplus
miro imAs2
M=lGi)
SNO
25
-12
-108
2
3
H
10
-143°
0:5
20
005
-180
Mi
Jmage
w
10
5
20
25
Splane
1
w-10
1 6 3
V-90
Re
Ansar
Vaza
PAGE:14
DATE
I
T cheek the sabalby-NE P-Z
Na No
enccscenats pan
PE no
poes
462HO) h
fhe
hal
Splane
P
1+o
as o
O
SGl) = So_
G ple
S-2
Lst2st2)_
9
Z =o
chsed_lsap Syida
Pe0
Pzo
Pz0
opea deap SysZa
0pen laap
Closed la4p
Sypbro
STA BLE
HHPy LEIRAING.
j
shhle