| ‘nvere laplace Anashowmn oper it allioos v0 to use Prnphial techrigywe Mikes Bode, Polar flds ond. Root lotus for evaluate af the Syatem pefprnane, Ree the tnomsient Réponse ava well vo the ste stoke, (woper Can be obstined by te laphee trorAprm Trethod. + loplue ion 1h fey be afndicn of tine & the laplac toamderm of #8) & Afined ‘oi. mo - . hit * hi fe}= ria [eat Ley) J fo mie EN ia fi of 0 * Uepla toanfote x Gornmen functions (signals): Scanned with CamScanner |od os te oO Least Cou Gouppeagees ‘ Lt 5 *Lltyy = app ns Lhe ho] = Age hey) - Fw shy © “he Bath ine ae a Lte-o} = Fe 8 ample og the » TN The ogee tain : GD. ey € Le) — fi - Fy Le [key i aye § ® Bee peg ~~ a (Fees) = “te é ; &ai 4 t * Las] -? » font or £19 E®. Scanned with CamScanner aE@ change in tine scale: - | Ll Mh] = 1 Fes, | Example: - Batt! cn faye ot fo L Lt) e >t * * FOE __y Fu, 1 Se * S[FHJ—- s ‘SS+! © Differenbation theonum, Ditlwentioticn theonum; He vsbve Tag fee * {4 *) =\ SFO) ~ feo) fhe abot of HE euabnabed ¢ . : a & [eet] = SFey ~ ¢ ftoy~f%o5 Cree 2 a “L[f., fo] = sro = 5 fo Sp6. ivitiol Value treojusen: “If he lapite tafe of bah fy ond fry ext dye With the lint SPD then too . Fla - be Sri @® fint vohe throw Be laplae tnanforne of Lat 4) od £6) exist -tegedhos i h he AD te Ak “= =S fee)- Fw LA fay = Ln FH tee s-y0 Scanned with CamScanner& nplst " Iaplace 4aansfoom of othe Following ty . +4 et oro) = Shy s’ -4 fOe 14 5 sincaty fb) - tas 3 sh4q ~2t M- ¢€ (say, tp FO - (st9 sh 64 19 4H -e - foo ge + ee \ : { \ © 2 FO = Pe 4 oo (sep "Scanned with CamScanner7 ff toate ryote laphe trans fans fom i @ Gil ts the matheméliia (pratus to obtaining) the tine dowaln fpom the Complax domain ¢ S.doms) So chat t [Fe] = fa x bit the fnuie laplace proun fe horde than the Vale proton Become FCs) must be Similan to the standord Geplac teams if the high ondow of NUs> > DUD a NG FO) = a =a Use log divsion division if he Hira onda of )< DED i Oe paid fadion opm | | | # Probie Fraction Fraction expansion we have 2 Cases: . © Recs DG) one Real and vd Repl © Rooks DU one Real and Repeiited O Pots of D0) one Cope. Scanned with CamScanner2.) Rogks of ‘DID oe Peak and ost Repealed 6 Gamplti Peck 4-9) Fu - (sy(sey 2 fo)-8 4,2 ._2 ENS) "Gen “Ast -2 Se ‘Sst £ g-2 7%, srt 2 = CY ee -S(HD “Ar DOO? NU) SQSHGY ~ * stsr0se) GRRE (22 PeetsC0,-05,-D 2 FG) = SEHD oe 8k Meee S(Hosxan © 5 *Gan* Gy BHD) | is Gr0sK) | 6 = sD) | we cw HD e si |, “2 sco) | = 2 205 = ge-2 “Pus is) si Fu) = 1S > cs 1 Sh ae zie - Bes ot Scanned with CamScanner_YY Ce (D Reds ne Peal ond Tepe 6 & gy. Saran PACHYY ow FG) = Se nt? er” Gs P fl = S443 a2 , Saat . c & oer, 2 a Evol cee Ss © easy aT wd 5 2 PO 2 2 4 eecoercy) e@ ea Leet tet & py. 2 L.A, B_ Yt u(y’ GY Ct" Cs) Sea S i Sek S4+y wey te c. 4 5 Gal ae 2 F)= - 2B a, nee SH oat ey 2k tt ft) 2p Sete 26 i Scanned with CamScannerCocks ane Complens @ o- —t__ S(st42548) “8 poskiat faacion expansion = a. A Ps Bsc recaerers) S" S%2845 8 . 2 S428, I, ° 3 24 Scary estacs = 2 s7Dsta ($408 42 = oS 408 4? 38a cad "Foye 3.1 _ 8 Sar SSS Sy 284S S42 ]-24-2[ae Gains) S37 S Lewy cot aps le [ S4l 1 Same to SH Ce ame Bf ser > y Yo~ |S 1 Bos lice +O 2 GH Ga} : t , oat 2 bstot [@ is € set + be” sinat # ot Snub Nie Scanned with CamScannerSlug the diifpanttal Opiaion “Us Lplee ‘eco @ * ta3me5 co C0) = 2 f skp —. tig laplaa a hep x6) = rs step lovede, leplau, at) = ty [sxoo - ] + 8X0) 4 5 Le Tv =O 2 + SXO) - ial 2 20 4 xXO[ Se]. 2-5 s a -s : a hep: XO = 4 Fw S525 | 45-5 “ses 543s 5(S43) Sx) 228250 Ae S(S+2) 8 S42 Az | =5 i =—— = - 2 wt ; # sade? 73 | Scanned with CamScanner. Sul. Qo Pal gh aft ft 00g SE a) fre “a dat 2FoOs Ly t gt Fe b fw = 1 ued 7 -3S 2 Fos e 1 S Do fH = 8© ery = 1 Dd f= 34 8h 4 2 Fu) = gabe gt ye z ; S © fo- Se (ak) 2 FD = S49 Scanned with CamScanner QW(1) Find the favese. laplace { eilorhg Trion R548 4 & a) FY = +o 7 (SHS + cH) SP Ae= se L s=-3 - eee ~i S43 2 S=-7 a | | PO ag te Ti Pt -tt 249 2052 he & e B Fs 28+5 =f 4 (SH (49D (SH if ) Set A = (S45 = ~3) S47 § se-3 B LLOYD CSO. Ysa | e3 C= aed a # = (S+3) s<-F ZF 2 73 | va J waa tb a F Qe + 6 S43 Ye saz =3t & fie eee, ae a gt a Scanned with CamScannerAS — = te Sete y S(S* 4684.24) 8 Sb4684 34 13, mS+3 4 b™4Cs = 4S 43 gy FO s4 6 c= 344 89 (ih BY a rs Dee» == ~Hs . 3 i Son Atos (eo #1 (S #3 94434 aoe oar + (5)* 4 lew 1 RAG) OD + OS eae e ~ 423 s ae +S sey (sy 8 = 5: , [sen e ita espe” | Scanned with CamScannerqu br -SiseS 4 2 cc | D S (sey gh gee SL A= S415) Los CSHy 2 Sams °° § = 1b SOSD- Case] 1 Gay “y Seo ca 1 MCS Cysncncr) — 21 (s4294 — ae 3 $0 u D = 8” +35 4S _ 2 | co ~ 2 | A S=-u | “ Pm sertgargsias & 2 Sa fy =-S 0 1 3 ~ | PO gtrb ze ©) FO- aos SpE t© = St sep Scanned with CamScanneralr [se - 46] +29 + ps SX® 2 + BRO + = =o 5 S+2s «ako /S$H)s 8 = xo (88) = Sy * xg. SHS. A & Ss sa) 7 # =_SHS}) 2S 3 | z Seo g - SS a 5 “3 S23 2z2xyeS l,i . OTe rece te Ee 229-5 +16" Scanned with CamScanner@f+nL+4y 25 XO =| Lo)a3 [s Xo) ~ SX - #0} M [sx09- 3 t4AXD = 0 \ 2 ' SKxQ—-8 2 4 SK +44. KD = 0 a) [srs $4] = S457 2 XD = Slt G4) St 414s 4.49 49 8+7 10 I 10 —- + + ——_ (sa (SDE (SHEP (S44) : -it - “ xu) =e eptat Scanned with CamScannero% : . wy O Kade y lows 20 xle)a, El 2 © y a - & % [gu $40 af] 9 sup -€0] OXI = Re \ s 3 5 Sop - 8f 3 4 HKD SF + ONY PE \ : Mey RQ) [s + | a Bison % = st BSH38S | DSHS +20 = 5 § ; 3 XO) S +888 4.20 rasp 386420 bc X. 7. aS +S 4 10) $C 845)5 72) rts tee A we BB+ 835120 SxS) | * 3 Sz0 = B= BS ABS4r ~ = |-2 S (54a) 3 San Ce DSS 20 | 5 2 SCst5) ° Sa-t & lyn XS) = ag -3 24 ae x)= a gent. a ema Scanned with CamScannerRee = Saat X20 to=2 2 Sx 20 - £05 xo = —4 | [ $ q shed | 2 L SXD - A+ XD = Sq . = XO[St} 2 49 44 2xy . 4 a Gay St -$1 11 ,, J) 8 s4) 8 Sua Se] = 4( Ly t 3 iat) 8 St44 % xt) = = te ® 1 se ay Scanned with CamScannerQs ® Fin, each af the Fol “11 ans elefomine ands ey ad Pot the chuckrisic. | oof: 4) 32 pte 215 FO 3 [sxey]44 Xey = ISD 5 + k0[8549) = 1S 9 —o XO Guy = I Fo) 38+ . x 3 > Grp = Foy "Sy ? mp = ul Ly Al ® BX + Bo 4 Ox = 5 Fé) 3 [Sken) +2 [8x0] +x = 3 FY 3) [3° 420s 70) = 5 FO el Gn FD BS +308 + 63 Ss Db) = 8843084 8 noots 1-4), 73 Scanned with CamScanner ‘NS \ koe @ 44+ Sax 5 6 D+ 4 fy S'xg) 4 MSXG) + 58X9 ~ OS FID + 4 FW Koy [s4 (HS +38] = FY [65+4] 6544 2 XB 2G = ——_ Fr Se 4S +58 VO = SHS 45% fools : 4-27 y 4 3t Scanned with CamScanner4., Fi a at Us petal Jacke hog e SCS+Se) 2 Poe AL beac fw a] S*ES 4] Sas [=| x if SD + Race 2 Sa) Hed tne ~< oD ys , : aL corr . zc S+f-b ea al s jee aed ~i- [Shoe - 12 _¥ ob a a2 aed ae ae Cos Be ob CF. i FY — i ee Se | BE td gig Fi 6843 et SE] ow i i, . ; . Senin £6) 6424 ‘Cramp 2 568) SsaXsy) =AL BR Arty, > sOsty ee rts sat Ee Euan 2 me sso : bFO=O 11 54 a“ Par Pees A aed 6 = BDS-sewesyp oe ° GHD . qf FH). 104 eBehe sek acs. ne ees Stars a 4 cep] Te p. Ce | . sw 7 6 i Scanned with CamScannerCarty fh telp ne aan dtp naa to get the trate Tendon md thon we, Pine . §O=3 3@-s Ss Yy~ Sy@_4\o: | 4 shy ; 99] +4 [519 -go]. 2) . 6 | ; we EFI Ww 2g Cad + ASH 2) YG) _ 33426 | aa YH = 38426 Se Aspe * 4 Sole ib ef ¥@ 8 must et the hove babe YD = A 385426 a ‘ | | 1 (s4+046(8+465 = +659) “roa * eas A= 8426 - S4ésq = 40s $=-0.46 6 = S426 sete = -hos Ss~6sy 2 yy. 405 _ hos S+a046 g 89 = sos CM enon MoS Lose SFt Scanned with CamScannerGather ae ete one [s*Yu - sx - Soy] 4 F890 - () +2Y)= XO 0 ci ‘0 SY) 34 FEZ 5 x Ae 2 SHAS 4s 2 xD 42 4) = unit . oy) skp—e & XD = dt S3, C454 Wye ay. Le s Ay . _ 354! : Saat A 8 c +7842) g Seoag + S+esy get A,B ard & ) Hen y® = A+ eer ec oat Scanned with CamScanner y N/ # Soleg’ the feat gquetin unig! bp Sry estet Oat dy-a (sty - 8 > Poel ID © 4D = oe FEV sey 28-241 = _2 SH es . We [S641] = +45 410 Say Ua W . _3 , title oe (sty = Hl, wad cul” rr o wi y 2 & ay tt yt se Bape 2€ 4 Fay = ae +4et, otet - Leet +4ety tet = ef st ote4] # Scanned with CamScannerAs 4 2E42e tee! [Ske - a (ef pe) T 25%) -4 4 29M) 4 KG) = _! 5 Jt : X@fo i 1 »[ Sassi] . tay xy = AE tes a 254254! ads ia sos XD S405 aA . Boac SS S405) 8 "Sises Astos . . Pewee | 20 tg WS S405 + BS acs 2 ost 2stos o B= -1 ¥y cel Fxg - 1 _ s-l S™4S40.5 2. St Isa ee ei $+05)- 0, a * EAN AL, (S+os)-o.25+05 T Gas oy AL Slats Ls eae S405), Gt -t_ PS +05 3 fh ‘ (stossscy* 2 (srosya(ye : -ost -ost g *9=1- [eS este - 26° sade] Scanned with CamScanner a 4 neo - X@)=2 °° 7 M/ a» Efe] =e Sead Rack Q FeedBack, Comedtion Tr ae fend Back.» FeRItCH ‘Bd C264 46s Rropa a RGt CHR —m C7CHG = RG © (1ZHG) «RG re far +e feodBad, 1FHG 'e@ for ve feed Back, a « | AO : R + c Ort) R Gq c = | itn 5 Scanned with CamScanner‘ ® Salty Jf Sunny poi 4 “Silly mega afta 4 4 “vlad “wy X WAG, oY soon ++(Gi] "Ye GakG Sumtnt #4 Nene iad 2 hig dare at x, *— Gy ; eo . [G4 © sith Grnchig’ ponds Uy 5 shot of branch inf Pott of acon i : ye YG} es ‘ UY} x, BAD branching 4 i a dittde . BL sug t branch pio Lele 1 eP Xe ™ xe i PSs 36 Scanned with CamScannerQbte that sany +two Summatan poral fo Series Can be exchanged | or Redd to. one. “poi a Xo 4+ a i + 4 if . eo _* x, a 4 xy x x xy, : 3 — x xe & ot Xy < a ) dl = 14] Le )—> | A, x, % xy ¥ Dott Cross over. Seeg » branching’ point aa 7 a Gq} TH Scanned with CamScannerRo alee : Gu cop | et | irae | i GD be « ! f+, CHD | Scanned with CamScanner[04 +H 14Gih + G.CQtWDH, ; H Ro, GG, (Qt) 1+ G4,+ GCG rH), WG, a G, (G+) cs) ~ co Scanned with CamScannerdap Roy Ro) —+| EH! : +— con | ‘ Scanned with CamScanner. Gibrbay + iG ‘ Rs) == > G6) —- + He GaGyt Gy) ea Gath Gib,Gs+ GG J+ Bese ete 41g 1 Gylagt Gu) RD | Go cp eepph aece famine 140 @o a3 Scanned with CamScannera) kame. 2 " wr 4 oy ‘) Sowe. shows acloted| ail ~ inpat and dish, . e She atssion oe ettce vohen ih i opat and dishubane. opel ane pusedt DID \ Heb i t Ya + Yeo < ° “tose elt DOD=0 >| Gp ee ee YD = Rox eS I+ GeGp elt Re 20 —. # Ds) %o vo. 1 + GeGp —> # (2 +h sd Scanned with CamScannerte ain the bansfer. funchien CG 1) shown fo the fallooieg Pia. and C45 of the iigshen Dis) Ida =o RS) co — [@e Pr Sa Gs i & Ros) GG. ra] ca) a Hee f OLS a eat} Ro) GG, G2 Gs as Se ( H+HG,Git Hy GeG G2 let Ray =° Dos) [ee ate 7 A -_ = —_+[ L§[-e (f+ te) L(G} > DO Gabe 2) V+ GG Cy (Bit HE) cD [— ft Scanned with CamScanner: vo “-—-—LE i Nop | to Now == YD = ¥6 4 (sd YO —e output if NUD =? WO —e odpd ¢ Rip = 0 5 let Nso yey = * Gee B yg = Ra HOF Rea Rey ql ONTO + he 110 G6, + AO HGH aCe Gy HYG 4,6. It Get Scanned with CamScanner/ Hine. Espa is - \ ; TRansionk md st : | ° Tespon: - Ps # fede aT ee Sean | ie DE in tHe form et: ae itt wf! tine. iy Redo +h) =u) | et et ~ Rete) TH =TH | Re $e) +P =a) | Fut ocmpk: . : Z le) + w= 1 Ty © R_Oie e | We RL glue | Vid = vg ae cc “ wo 2 eT wo a Rag ie * Che Sidt. dee 2.09 - bc day at . ' a Re ARGS iy tine, al Gop Const ope @ Aermencln: ? . fr Eneral babar G- # = Coda ha(G-T) = mo dt ee ae To Tike &¢ Cintuln Scanned with CamScannerYu) en Ge ad 6; iGO = 1 > _ 140 Gro ‘oO +1 NO) Gu 7 1+ GO QGe. hue GX = GG, IRE ae Scanned with CamScannerGg QO | © Foe cramp RC Citit ook ai Yas Via Takeg bp ple wth Zero initial Condition. 2 TSYO + 66) ~4 9 4 4) [TS 4] = old ‘ divide Yol2 iI "tonfin Harton 0 of the. _ One a system” Guy Me 65 = hae fuoeton = hee ° odpctsy —e ys) ) —> Ml) e Gi = Yi _ ! Vi) GSH ” uo ne hate alk dain” % che Ke cocnt Uke: inpitey rio [1] siete “ey fee Yo Hos, We tl analyse. tre Systems Reaponte. to Some siete like unit step, Unit Ramp, ont impute, ] ine ro) Dote that: All systems hauig’ the Same. fandions wil exhibit the Same cadpat ia Response Mo the Same, inpet. 26 Scanned with CamScanner_ Oust sep muaponte of a enh a YG = 2 TE ? “WD « ne xu xO [ai Sine 2a lM) —_- Xu) a} oe led Ut I %) = —. 1 -—+ .- -~ tH 8 Sa PO ‘algs Ince apne’ of Yo 40 get yay 80. CEPI + t ele € +. a) Te ‘0.6f 2h 0. 86 ie 0.45 AT. 0.9% STe 0.4 co 4 . Te 2h TM at st “Time _Aorstoads’ . a by the tine Meaiied to at 06 (61%) fron Yow feet a d x on time Cost decrewoe. the system became Farle in trackip cde tut z a a ge l-e® @ T+ g—! that Tran 25 tllsly SEI er. 0 “otpd Leeame equal to the np 2 Scanned with CamScannery ar ere x9 tohue ke = de gain - ts the ako behoeen th. topo Sigal ard he steady stole Yee of the odtpat. Hh Same methes; eke 1 = ? oh : sion = een -£ 2 gO= kine’ ting = Goo ip Gip.xa) . Ort mses of Hips ‘= : Tsai «1 “sa 2a) ther = . || a KO S . i te q F bow a Bt i # WD eg Weise : “t[h-Fee]] . . s $ Test “gO -k [t-% E+ Te eX] fe ket 7 enon = U4) +40) - . - g- Atte Te me, a ae” emortee) = Steady sinke omar = = Te - Osanna fama > Sin uo) = S—e =I | 2 YO Geo.nsy = Eo Tes ep fe Sth ie ido -bet # 4 enn (@) =o Scanned with CamScanneraden, syslens have D.E in the foun of dos age, BP BL) 2 Wh, | ee a eed ~ & Xe - ayharkn-J t od pt Unlampe ip tie a Wolinal tt G+ $442 %* 7 PLL neu ites Se uy = Side L WAG Ui ile Yi é Yost) +U+eg \— T y 2 “We dt a dw a& ae de re Ps ae + ay Yom % 2 WS). Ciy . Co v9 Spas 1 Scanned with CamScannerL , 2 Gos - : L L SFIS OP ney a «| Wot | SHG, . wd use Can Be analy the lebede Aognam of Ric Cac dike: inpitoy we aft ey sh 2508 +r ati * Tee pol of the 2% ordin System one located Poles = . I aa 2 a-yaralyir -# fre “fest Se! fol hs inde — agli, edge a e ales Pos £3 ee Pree On FEI a = 42, I 30 Scanned with CamScanner TTY OED ee~ Unit nit step to) f™ inost i impala Cui Co lado (ase: 0< tS! “ 2 oy wo oF Ge) = (Sian P59, ITTY Wt WL = Damped Natinad pean on Wye & Go-%. ee ad (Sapayrjra)(stgeg Jes) von (S+ga)* 4 vr | an XM) = tt) 1 =< L . | 2 ge L. wt (St payHOdy aectet oom Gagnk + 8g 4 ten (U0, =}. Sie, se yr aedy — “Aesrpe,y + oi at f it d= yp gi cout Be of ened wa cia w= 1-6" | s Note thas 3 a c@)=0 Geng + = shuuo] # Scanned with CamScannerVv + ge transient Moponte. specibicstisn . Pe la te chonacteushco ot Conhal Systems ane Some. times Specified in teams o time. ~“clomain quently. 3D, ‘ional == Allovsedle telanance = a, om 87, os chime. _t Deby times Te Soe to wand of. of the fale | + Rise toe Tt ive to Mach [00% of “the foal vane ab the tt dee Fon oniedawped aye « ¢ Peak time! Tp? dime to tach the a peak 4 the ovesheot ¥ Seg” times “ine fo twach. and: stay eitthin 2% on SL of endl shots, valee, Scanned with CamScannerie hits Te?" ondardamped” J)— |= a Fo out ty + oral cuge] 4 ® Assuming d=t . sent oy Ve X- e [ oyt + & Sint] inte, ent ag 3 Gs va ot sin wit, us Ife all> tan dba ~ Lose ; (en © oe Lao i $n fees tte chy oa al Se ae : whne ‘tin Bo Vege ak tine } tp 5 Aa) a =e @ Peaks and miniomn 1 mE Mat 7 aj “e. (coeut 4 Le oe eg ce eR +6é ‘i o 4 (ow Sin uy - “Ege at) «| ar ae tatp We nO 4 Sin tty) 20 2 7 O= ety = 0 2M, =~ So the tine of vt peak eB, OF) the peak He Spite Comuspordiy +o one ha{ fe fa: Scanned with CamScannerB mm_qusds My 7 Mp stp -| -3%0.(5,) = -€ 5 (cos am 4 3 sort) ay GR) ; 5G, GB saig me 2% ft 26 atterion ten ale fe insbe Oe fof ole ag Exampki , : Sar te system 25 subjeded. to onit stepinent Si 65425 hot obtain: - Ree; Peak! and. sellig hme alro Max ovrrshe as vag Ope 25 MHF ude 3% 6542s 2g, = 0.6 peal 4 Gy. = _ t [LET = 82.0 vi BE, ope ol 353.13 - Te ossr Se. at : x T 2. 0,488 Sec G2 oe G $3 2s fe t assume. A —> 6" ee inte ae 7 oR" 2 0.014 —r ane uM Scanned with CamScanner© shea CD iad i, Bo Mp2ash Jel ih ey ; a ——|__ kb seRES+ KE \ |p =Go- + 9 She bP Stk « Mp = 257 = 08 =e a -2e bea Dy = “p= A Sec Mp =25f Tp = tee alk . &E atk =0.4d otf = 15% cox fie pe b= a9 2 be 0.44) Scanned with CamScanneree @ ( we QT 2 ° = -bL6-L06-2)L 2 On -FO-LLOeLLZ bU6 +H*O = LL x bse + bl ov) = ELS KY os) [bits + t'] = bLs ku) oy . __bls_ _ 1 _8_ (fealdifteats) XH) bse SHES For Unit skp XO = + aog-b.d S L1_#_ (tM bk ste bate . “Et | ~6o-1te° | Scanned with CamScanner iin —w 98% CSthepstoput) — Bek the tine Goact at fe Gamp wi) = 1O'%;, stot oon 9 Me vO. XD a al l Ts4 OF | Su seL F tly C9 —» $4 0% = 0.080In | linn st st (see) | = 10 A (s+ $+85 b=-25 = 1A as MSR - thas S44 = &s_ Bs S4y e@ Steady etnhe p00 CD 25 “eee et Scanned with CamScanneru cea a, RD “Ceti s2 et wo, ovashed SZ a “Ee a 5 = 0.64 Asec = “Teall as Tay, = 23ce (27L osha Aw, - 0nd 3% Scanned with CamScanner® ol SCS +D olan Phe-ne, Peak. line, Vox oveshod, Selth, Sim Ge oR. ao SSH) | ~ CS ee Sés+ +1 8(s+D = i oO, al wd st S +I = 1 ~os 221) by = [iape = 0.866 tel BT Bee wd =o (es = 6° Th — ee “s alae Be = QYIBF Sec, 0.366 tp = qe TH = 26% See 0.266 et Ores Mp = € = = 0,168 —o 1637 Scanned with CamScanner Go. — Unik steps inp , Onby fen,| | | aE Extra Examply Q) frrpulse Aasporse of Bp Ca = 3 ett EB | sine Conthet Te 2. Be gata ke B Thonslest Funchon 4¢ tt ond syste As &kep Mesporse 3. Draw the step Ms parse at order syshum FS gies Lelovs: ww 3 pe qu Fa the Had exh G0 = + atuebat_fe* + Ch) = Go. xo x80 ELS a an he yous LEX #2 do get stepnesparse | ait step? = GO. Y= GO. xo) > cost Scanned with CamScanner niBs csporse, “of #4 ont. ayshun 18 given below: = cl Ch = 3e 2 ? Genshant gain ke wiser. Rancion ond ad Mes poose. S.Pnaw the, slep eesponte tine <1 the trarsfa. Fo of tet andr. catll be. Gm - KK EMS TS M6 the Response Contain Chat) ~ 2) = Ce EL S-e Te Sr ee fk =2—eme, > Typs2 4) = le) —e xed -28 rep] é Scanned with CamScannerEy - G6 tp = 32SmS Mp = 4h ate Damped Natured Frusuen ~ the damprg’ Ro el ‘J an Undamped Neturd Fug : Me gates chronstik Ry . sais le £2% aos ae tp = x = 228410 af = 0.01034 I a we S “Ge ve Mps03t= © —e 5 20% 2 YO = 0, ere a = 0.0101F od 43 4O- l-e flop =_ but | #y 0.0104 0.0103 q. i- - oe «aoa Scanned with CamScannerre =a * ) step nespente “ rt “ond syslew fs ae belo: -0.St Cy = SCl- aD Vine. Constod G 2DL gain We hes 2% incon . Y. Poa Nes Ponte S.Traw the fmpulce asponse_ Fou the 44 onder eye Cy = xigeb p=? 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