Root Locus Notes

o

lFoo{ L.-s -J.^- zo B

MeoSa ,)r. TerALt4 c*L( l*f

r (t)

dg or- tary

closqLJ-'tp

Flr,- cr)

H ".

rs)

t"l CCs) Gr b) e G6

F ccr) fi{g

I + k c($G/s>

= l/6\Dcs)

l-1", r s) = raoh oF DG)

-fosb oL 1t ts\

e\t*!' l*i, ,vspt^'e-

a

oy<'- luop

qzr, (uoy

Hu() =

P"6

$*

ol-

V=o

lvG)

D6) f l< ̂ rcs)

r^,/. ol- Dc) *k /dc)

rao| ol- >cs)

oPt^ lag pob>."6oL

loo, p6t

6t (= ab cbral l-O poLs fdb 6 6{- ^tG)

q + l * e I ' o r

{lnr, J'l- &t rrob-

f o D F

s{rbl*P

c l s

ofe^ t *[,

t l -

K U)es ilr^-

Tobs e,'-!-

/ t d

a( ofr*o

o*rls

?-11A Hr. (r) = S Z

S E P

P = oW l * f ? "6/ - oW L*? k/D

P,r t Loc us

K'2 E=o, y '

Rub.#z

%L a.(D Drn h,l nu, ltt

d\

o l

hcu

( o t -

r^f loutOL ?9,0t

x -o -

Oyn-', L*f)

i ( J4" n,ul,-+D rtel^ l- al

P o Qe/1)

o{ pobs

?or+ ,\ olA.

florO s

e1o l-f. tr) =

fu*vf el'r# h,us /ut-ri $^ ruoL aJ<,E

Is (s- p)

s ' (s -p \e? . l / \

l - L , / \ l :a , o L L - l -

;- d"tLt, P"te

f Ff,^- af rvr.(G '

eFr) (rb\ m( l,zus

Rub 3

of, osv-y hLt ,) eq,*L

, l

ncrl- W$lc-

Car\kr- tr * ot

Scr,G =

rn usl- /rrr*

el,\y-tW

e&l1o,ct; =

*'JLuo qtyrYLl;- teaL cUF') D aol-

I r492, f lrJe: is

2 o L b b s - 2 o L & n s

f n,,-.t,-ol ou.

t @ras ,

&Dl- &,>"sLocrts

l"not otkt

fl/oL J,l*l-D a \ a ,9\,nn.',

Ofr*la

"(( dt'

rw( lcr, u,r.

/u^[ a*D-fl, ,D6

It. r')€ -o)s'

L €nll'' rst-

. 0J+?l*y't

*

# , = ? bC^l- t,r*'t-

d.^hb '^f ot

s-+ t

EK^rL

t'lotrls) --€niX'il

ps^* HorG\ :-Ez-l g- t)(s+t)

hrQ 3

6ic'+iYsi:l

C'n') Cs-s')

9. r - ! " - - g i t$ ' rO - : -

3 3

iloril= s t r

Q + e ) ?

sL!;l,v ^ h*erLJ

A- iG*O

Mft nof,^sL\,L o-

woL at

*t-3rr-.L(2

ol"*.1'sLLQ .

G6l

S L T

ln2yu\nL IPIk*L a,

O t ?olo>

U - *.lo*d-.

o - a L

t -F kD P obs ot+- u/Lr

Rol l*,, f" lio,(.s): k;+

W re2{ c^nrovl loru, rr,d

|n J4 "LHP dD "af/*tt( J4oL gn

Ltl ?

H". ( r )= k s -? .

ca LL e"il,>,Js"[A>u]1 'r,.-t"

B"l' wc c a^rnol'butlclal6,

@ ^ t - 7 , _z- ?"

PrtL'i\6P.,

tob, ffJ-L 4 ?

b co-, pril" Ct pLt

Co'Vnsft- ?'D 4 )/sI'{, r1/" /-

d"l"*.4l-'

c";l'L *5

ltofu -;^ ttF

/

5 (S- P)

L)LL rol-bu,, oLtL-t)=

hlrl ar-gu.rfuf2;,,vl"tl^'.^ g o Lb^-

^dJ

%a

J4

lnl lorus

@

fut-l^ il LJ '^,t

fal"L h Wl o"{- crrL

u.,ll orlrn-., L clo*t /.1e-

.j^,, cN6B +; P, lh-

ilL cornpn>cL h"1. /4CL Nyaxsc- S/ruea.

a> L PLL , lJ^L t ,r-.L /4

t>P- 9, HQtta tile ,aA 1r,^(ctv\ms,rf,

k .2-

rc)'I lt.u5 Ho, (s) -

un>LtL [* u7 k

auV 4 gL @D b> d4 a g'a {" Ct"pe^sc-tl.-,

H r , - ( s ) = X ( s - )g3

+t f ( t /nsL(6 t -

s

(?^,1^ to,.a

4 t ,

A)nL n to,rLL &, @ s ^

ILTL CI- V-jr,rtu y"L, crrrs

) ' - ' aY i .