biological control systems - time response analysis - s.mathankumar-vmkvec
TRANSCRIPT
IVM U/VMKVEC/ETECTRONIC SCIENCES/BME{EVEN SEM(EOURTH SE$I\'20L5-201 6 I CBCS-Rz0 L2- FULL TIM E]
1. what is the pupose of Laplace transform is used in control iystem?2. Define step signal.
3. List the steps involved in obtaining the transfer function.4. Name the properties of transfer functions.5. Define time response.
6. Define differential equations.7. Whatis the purpose of standard test signals?8. Define ramp signal.9. Whatis an impulse signal?10. State various time domain specifications.1.1. Define critical damping.12. what is meant by type number of the system? Give its significance.L3. Define damping ratio.14. Define Damping.15. \{hat is the difference between type and order of a system ?16. Detine resPonse. Mention the test signals used to determine time response.17. r//hatis transient and steady state response?18. Define-rise time and settling time.19. How the system is classified on the value of damping?20. Define steady state error.
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V II{ AYAKA MI S SIO}.IS UI{ IV ER S/TY
Vinayaka Mission/s Kirupananda Variy* Engineering College
SALEM - 636 3OS
Programme B.E. BIOMEDICAL ENGINEERINGlSeme
ster |
4
Subject Code & Name
L0 - 03 - ZAL6 l Oate rf B
3471240I. - BIOLOGICAL CONTROL SVSTUNAS
Mr.Mathankumar.SName of the Tutor
Assignment. Irdo.
Date of AnnouncementI
$hort Anrwer / Two (or) Three liner Fxpgcxnstlon
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4.
lvMU/VMKVEC/ELECTRONTC SCTENCES/BME/eVerU SEM/FOURTH SEM/20L5-20L6 I CBCS-R2012- F U LL Tt M EI
L' Derive the response of first order system for unit step/ :r.i \ rr rur.*,:.rl$ e-
2. Obtain ttre response of unity feedback system whose open loop transfer,function isG(r) = a/s(s+s) and when the input is unit step.
Develop an exPression for unit step response of undamped second order system/ o,restla-,n.r.c A,
Wrile- the expression for time domain specifications of rise time and peak time with
.Derive the expression fgltime response of a second. order system subjected. to a unit
impulse input for (<L and (>1,, where ( is a damping ratio.
6. A unity feedback system has an open loop transfer function, G(s)=10/s(s+2). Find the risetime, percentage overshoo! peak time and settling time for a step inpui of iZ units.
7. Develop an expression for unit step response of underd.amped. second order system.
8. The unity feedback system is characterized by Eu:r open loop transfer f,unctionG(s)=Kis(s+10). Determine the gain K so that the system will have a damping ratio of0.5 for this value of K. Determine settling time, peak overshoot and time. at peakovershoot for a unit step lnput
9. Derive the expression for critically damped of a second order system subjected. to a unitstep input f.or fL, where ( is a damping ratio.
10. A impulse input is applied to a uniry feedback system with G(s)=12/s(s+T). Find theresponse of the system.
5.
Descriptive Type Questionr (Erroy Type)
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Iek '
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n $"- .b^v\*-
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t @
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3Y
o
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Ed = r-rJa ,lE{, Lsi)
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I
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Ccs) = RCs) t^r n*d+ l-eturns+t'L' f
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f+2Etr;nS* t'trnL
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** z\ur,S *9Ln" 4Lt-r n'- E'*nt
C Cs) s Lunt
(s*E*nf+ un2 (t-q')
C;Cs) E wnL
(s+ t*.0* wd2-
Md${* a;*d- divi'd"Q-- t'L} L /
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uu&r
lrqr,ltrc&
s+EulQi:*q
b tx s[-
@)h-,r-roL2 :
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t,,ttd-
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CCA s wnz-
;
Cct) = qlltt^)d VT!"
Cs+€l *0=+ t*,,"L2
usd,
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t t"tCL
F q.'nb8-' /L,f')
e u:A\L (s +\*n)* +r-,){
t^reLb
kAu ii :-
+ -rl'\e-
9T:^
+T1r',-o*
oJA
r.ql^lnL og v ,.3;.n t,trcLb
Ovwt ol-a-r,.pe-"[ \> t
*t oota o'lu- -'oLeal '{.,\ Jne1o*Lv Q-
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.rz,,,rud- i-orucr-,,,.-- 3 ry 1*,.tl"t"
C CS) t^,)nL
Rfs) uft "qu.r6rs+.^: r|
Sl s * So,--
Sz = "-gb ,
S I E g t*)p1 'j-r (A:n al q"- t
sz : - 9*n t,-n {S-r .
CC+) = La-:n - e L$ab oe- L /YJa t''LjoLt
t*E"
Sr ?sz = qt^lntwn..[g;-r]'t
CCS) = RCs) wr,-
?hCs-r-sr)[sts*) ,
W? fa"diat {a-a-c,tr^on ,
?-,CCS) = [^)n- =-- A , + B o,LCs{€,)Cs+s, s+ s t s+8 L
ccs) = DnL r ACS+S!-)+B(s+sr)
Cs+s,) fs+s2) Cs+sr ) (s+SO .
CCs) = ta)n2 = 4 Cs+sz) + B(s+S) .
?Luts g= -Slbn, -- A(-s, *S-)+B (-{r*g,)
= t,( 1,/" + ur^ \ry'-r - #^ + *",1F-,)
runL = A (e u.rp1 Wr)A: pnt
F .rE tl 6 A=tOnarff*,ay6$r
-sF"|
P*s=+Sg-
t,nz = A (* ?L+sd) + Bc--s2 +s,)
F A(Efr,E,.rn1@l ..- gy/r"rF(-urndpr) ,
4l
wnL: A (* rcwn \4-t)
13 = L, tl) n/
&fiw
B E _ t{JD
&,q_r
Su--bs tibr-u- fr/t-a;o-L Vq-Lr-Le^ -':n eq/-th;n O
ccs)F*fu +fu
s+sl g+8.e-.
CCs)= c!4 f t- - I Ie, {f- r f-*+s ' t* *l
A farcfnq -tr,veru,-e- Jo.flqce- Tb{ rrL
t' L"c*)] = wn ,
srlF-'
1-l e I - | ?
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Cc+)= Lr:n t -srb -.-Il&\F-, Lt e I
b,
U*t:k -*fu-lxe, .
"{LU)
,t9'' ( t"r-n-et-esr
el-antp€J-)
Llr
A*oek,Y ,l4gA c\tL 3* J*[email protected],oL frrrL sr;AL
ync*ton , erc*) = to f e (s+z) , F*nd frt^-e- '27r'v'
hfrrbl ?*d*n. ove*'ushne:r_, l*h "dt""' 4-' & ^"*"?
&cs) ccs)
Sotr",ton'.-
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tiae, "k*^.r."- ) r/.Ov ) f€-cLJ,e
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F qu/,[q" x roo=Q
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t .:OL !
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ft 2-'/ ,"To\rytance- Bo-^d'
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ht cs)
&ivetw **tr--b, &Ca)r tDf s(s+z)
= to/ S5s+z)C CS)
ecs)
=, $*"c -"*'&\ 1eod"a'ci&'
= to/ s c$DsG+, +jD
s (st-c)I +.,,,to
SG+r)
Ccs) IO
ecs) Siz s +roto,
,l+Ajtubnnt)
cLs) tJ-, n 2-
R-cs) LSI+ tE v)nstru n>
@
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@" O -h @ r)re- trlo
wn =- /*
2I tl;pl
q=
o-
tl-
e)-25
2 tLt6 9.x3,lgc-
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fN&
= trr^ rEz
= 3,162
fs
tr s;,
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g E o.gqql
)+5
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wcL
e= *odi;'*l ,.-;av t- el
9
g s -l:e.nl
II
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t n LBg
T:J-UJoL
s.3lt,
r o,Qol\{"--lot o.g tb )'Pt&oL . -
F Tr * I'a33
-._ [barr (z'85 t)
= ?'l+ -- '"' 3b3.
*v = 0.63T $ec-,
ryl,o FrhA ./r ny =
-Ey/tfqg / Xloo .
-O ,Ztb-ff / K looE
ts a *3 l& x 3'lty / O ' q 8l= g, I x loo
-o.gq9/o.q8l?- x loO.
rE [* Otte, x tgO
A, 3511 x too
O. B lbL
/,Mo s 35'}-1-l '|
I
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I = I Sf.*,c_
1*n o'31& x3'lb2
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tro-rr. 5./- ?>r><-o,et, ts = 3r = >(-t) = 3 Al2"
Q.ea utb : -
'/. +ed< oves-a,hnst '/- nop = 36'2' / 'I
PeAX +1r.rr;*- tp = l. o 4t -\ecI
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8. .U$l,bd Fe:e;-bacK
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s^it
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t/A{ E trrn 1@t
F 4-T- ( r$o, e_y.
r- 3r C -F.,aL E */.
= ,Jf,rucL .
w)@-
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de-rYf>t*<.t
*f rynv
ld
pec-le,
Feo-le
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S CS-r- t o)
c*5
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troM:-ave*+,shno E y, M? € nn*/'@ ,. roo
&f-lr'.rt*- tbp) -.*r-- ,I..*r"r4-€- Cfs)
l'+CS) E I
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tu Hcs) Gr ffi d *f **,elion
&rs) F _j!s Cs+-r")
C{$ .F t<ls c s+{ o) K/s C sTao)Rcs) t+ K/s G-uo) s(snQ +rc/s Lyro)
C Cs) K" oR(3) ^2s + rDs+K
* T^L Vo-l-u-o- .,g-t K L,Lo*rL be, ,a_vo-L,t.o,*eol b*,T v: u(-.\ Cl;-ra{iryvw'
n
'L ,*Yo..nffua- tr^^^c*L" a,^,rt:e,u
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c_!S2= t-un2 _ ^ i
tcs) *?"9ur,.,s+uu n2- ---@ I
I
vLDt*P
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flc-tt^on
+q
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g= lD, ;;.
.-.-"-,€'*-{t!
s tD
& tfl.
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ltrn E \ru= too
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* 0.5 xTl- I;g/ 9-[- D '5' xlDDl
E 0.1b3 X loO
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r cs)
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ots
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ilrr6, ffi..3ote;.}i-on..*
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C CS) s acs)R"cs) l+Fl cs) G4cs)
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s(s+Y)
t+ t2- Cr)S Cs+r)
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ccs) E" tLRfs) si -1 s + te-
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+81 ffi f& ffin't2- =- A ,F B,t_
4l. r---,+ t -..-r,
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51
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re- s A?,il+{>+BC-B++)
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12 = A (* t)
A = -12
C(s) s L- l9- + 12*
S++ S+g
* B"d -rertl'r,n Jn reor-t+- -fl*"*- -fro-ruf m
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