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C oral ayttern tan, Connection of various Xo porfe Cortatn gask a ‘Bulb Control ayer’ (ay aytlem sghangte Corltol Q demens fn Si beara coho Oulpat ra) Contolled boy theo Ppa % known = a4 ager =. 2 | 1) plone he pO clion of fhe ystarnd tohich (8 tng to the plack ta d & nowy. Cortre\l 2) Contre _— Lert?” r a0. ner syle eohrch ox used | to dra of8 Known a Coctrolles. 3) Se ose —the : oe ports of a Control ayters 4 P ot Cortro tle pacar claasfication of Peoria syle 2 + art i) Hlotusiet Control age 2) Manmode tat eg astern dorgine human ‘wria Combination 0 es aes Tt i Combsnatton af notwral and 3) emnanmade — Tene_vosfack and Tru reritank contro} ——————— ——— ee Aystern + ae Tine vasuiaat A gern = —— 4 As ushost. vartable ase changing work beng & kmaon 4 time Vaxiant oq Sotelt? te Feerw. in vastionk sydern- Pore. in Buys A aglern whose pastarnetens eu Contant cs +epre % Koen a4 tine on vasutoot aplein eq: eh Aytteno de Agined fr the labaxatsy etroan and non- tnear aystarn: —<— = awn Linear kyplersy- THe Aes, cohich Oberys principle of superporthian and princicle of homoge ntly % Knoon as Log lorry “t am L(x = % mon Lineas kyfteno: ~ — Sg a? ~The puters ehidr dey nde obeys the pcodide of brupenpoattion ard sont of fron ¢ ee sdumped “ord dtpbrtbuted Aysterns- ohuenped Aylern'.« eo nyse 9 udaech the tlerments are olde — prytcally seperate run tk % Known clumped AO eg. chrcuttt deAgined iva) labaratéiy ie Tro ft ae ol rae lern 74 ioe te bate { Mar Keaurernce 0 aane! Lamps - hu Aeayuence 2% or) Aeperds on trofye dently Oonth toad. th =rter temple Sndlowfn. Sit ¥ economical » at fs mot accivrole elo sed Soop: Cortro\ apler>. ay j f\ aftr edhose Outpul, depends 4 ae bul changes 40 Output Cot etpeck inp os oe os c boaol Looped Con to) we ror sa ot axa mple ft ands on A ro Plable ernol mA geen $he signal ren (palet eS as the heods mmnove On deo 00k pottton Opn heop ee) oh back element % g Cc PS alxere u) Ervon Acctél 93 mot pr osenk ® @) Lem a oat : yo) 2g Sond Ne team )). Control actin ts fadepencert of Cokpul ) alo of € ornporents aw ler A peuon cod Lomas ho. seach g clogeck ihe table wo watched L and g%en oC canted G¥fference blvo ‘ona al Doop ane, tlomed) Loop a y) —thex-axe mot oreltable qh easter, fo latte loookx 5 On the Loop A Slory) he { Os tq] Cus, ar d the brats Ord + Ware ho the handy Ahe honds neacked oe closed Loop )) These aun Helfable 2) DFaullt Ly butld ®) Feedback element ra) aha presen- u) Anerror decteor % alooys present : 5) Gkmay become Untlolde &) More maitaface *) Having darige band vofdth 8) at oR mol economtal %) amore. SARYOH : 10 jeg Aevo volta Jeg lesa biker Tpveptnckn ' W) Control action depen on Calel ie Components Or 19) oof Bree (ht Kans{or firoc tion! bs a ——— —+Tkis Aehinock as the sohioc Saravlao of Output Qo fifbon, lopatac, tapat eetth all tied conart Prorafer amuned to Zero OM ane s plac 2 zyslorn as sa pcreolod ail ec ton gular Hock as shown = fn -f. : mies. Prpat «= Ct) and cuted ® a time domain ; f e a ¢ lp {age | 4° oct) c(t) pS dems | eto % CS) and olptr cCs) lad a Fs ip [ates [> VP R(S) c(s) om “Taorm fer gunctton =Tei fs R(S) of _mechantal aysterns mmotton: of the Ayilém claxtfied ento 2 apes mMathemottel ‘arodeling, » Basech onthe Lupe of anechantedl sytem ae ') Franslationall xystero hes 2) Ceotationall replerm ') Franddatirral ayflem -- eadheneviey & feicr Ssappled ona 4% len #f the Baas ie me ccagt Lie errorrent = Of the. 4 ysie™m Bhan — Kroon Aranstational rysero L 9) Rotational Agstem:- ee whenever o felce- % applied on ange *f is motion is ebouk an aus Cchrcw on ) oe euch type ayptters Known oer M Osdoy Loitudy about a «ye AZ | ze i i oo ol yee of meg iatred mathematical eqnratfons : Re cel of equations decr?be = Che dyn ontc behaviow, of the ya us Known ay roathe matical — anode ng of cystem TI Orde Lo unite 4et of equattons of Gen dronslatinal —amechantcal astern athe followateg Abviee elements are urd - ; )Maxs (M) (eight af ushen fotce applied wn tranglatfonal — amedconid argsieno Pn oe Oras f6tcea axe devdped' do to rro% pretetton and elastic property of the ; yiem: ~) fe Se a equations of a nystern % ray based or Necwstorls oA Qano, nlecstos "dda = the aur of Gppheol faces on a rigid bood'y a equal to funn of opr forces 2 a SS ‘Pothencds ore -{ree to ~rove cohen -force fe Appi loa veytd body 4k devel ps oppet"ng garce Ned xy dtuplacernent Prappled pore?’ io) Determfoe te transfer gunetfon X(8) ay [PC -Por ‘the follaot amnechan teak Aasterrs | ( frany lalfonal Ryder? ) olf pricdes Fa box hy eee BA st M&M Qoads C Mit ah ? Connaited then C tf 400 Ain Flas alernents ave wotake Mak Hoh’) blocks thin cor? Hen tf hov fing 2 COOK 9 {tee hoody Alagoa. ' Rec bork Aragon nyt! | — fin yey, ‘ £4 fb) — Fb fro fe 4 £ by tha Pb=o MM ANKy ax rk +e +8 A tx) 4 ROX) + Ky 8 a Y oAoplace Ararefoim sotth exo _setial Condftons” Mae\(5) 4O,9%(3) +8 SCx)(s)- xO) | +68 K[x 3.5 C + KX 1 C5) Ce) ‘ [ais + cares + Ck Ri) | x13 [854k kes) xi | @S+h] x03) ms” +(B)48)3 4 ( Piich Ree eye jageam OfMy: Sal Si 5 fe applied nen ~ me potting fice AS frog + for + fx +f, 2 My Ae 5 dy f aT + By } 1) tty A OS (x-x1) a K(x) apply Lapalace Condftion with. Ze1o Matlay condttion. FOE My Sx(S) $85 SXx(S)4+8 SOM-—vils)) + @(xts) = (3) ) FO- om XCS) [ Mos” +Bo8 +BS 4 ks | ~ x(S) [8s+K§) wm xe) [ MS i aha] - %6) [4 38) [rafel=>) plat toe x fe oy &n above. eq uattin BSH) XS) “ease tkth)@ mot (540) v 4 (hit K) ® 5 +k) PG = x(9) ae il m\o* (av Sr _ | Sta 4B)S + (het) Pio). 2 x(S) (Mas’t (Onis) +h) E (sth) ’ : Neue SN ck a he saa Bs Mi) Meas fee body by Newton's second baw Fret et =0 | a E ‘ My it, wert) 20 Ve eee AT: | BVA te sntial condifion , ous + Ke (xils)- 9G) } =° (58 ey ie hils) = > (mos a, xt) ic eT | : Sob in 3q0 + (3) = 4X8) : > (wnstes) ph Stk BS thy) M2 ‘ 5 W@W (ony S4hy) CHSTAES BT) © feo (9). ‘i % 4) CHS tBStTH ~ Lig 0) ) AS) 2 a (4) , : mestk th ok et ae Fa) ~ (stk) (Mes _ ai ‘Retatdral amechanital Ayiterd: Hrantlational “Retatinrnl $f) force To Hoque ; ae) Orplacemert O-=- angulox cexplarenn Moy mak T= Orage inert O . By -fitltn be anton? Ko Ak effness k= stefness cond: s ge ce ") a a ale fefro ~ Mee se 5 te Ae fn (tn “Teordebtonatf ay —— medel ef Votatioral crenata he es devolped baxd on “the eer Asoo elements. Mornent of inertia CT) ) Peathpet ( 6) z elartic proper 1 (BK) stotational mechankal oe Vesulables fooled | Aygo “- eS applied torque 65 angular “auplocerat oe rmornint Of fret Frection PEL Aiffnen . T) 3 Oppeting tor due fo N) a ” ia memant stb = Opreithig tora,c- dure Le Redfon TS) BS Js'ols) +65 065) + k (0ls)— a(S) Re Ts) > o(s) [38405 th] - has). —O }veec ec loedy at Jo *- K Ho] “Jo S¥0,(S) + b(Od(5) ~0(s)) -0. G(s) (Hs’t+k) eO-KtOls) =0 (5S) (tps"+k) = KOtS) (5) |= 69) J2s’+k) aPPly the above em valu th eq@ T(S) - OS) fystBsik] -k Sah Jostk Ts) =86) [3,s¢p5 tk] —/ K%Gcs) ( ss%4e ) ) 7s) = Of) ere ay ( Jas any | anys, or Gis'+86 +k) ae +k) ~ KY | Jas +h) Te 2 (sisP45 4) (540). We ) (Jos"+k) 3 SS) (asst) TES) (984 85 +k) (BS Kk) =| @ Detewntne -Hhe stranger function Of the sy bran «for function e ©,(S) 4 Poli A 'pitemn “T(S) ffl the flier sing PB) Mechanfe al ciple feo fal cia t 2 3, Ve AES) : Ry applysing necutors 2d Dow +- Aeex 16 475, 4 TGs = m de é aS 9 GO sx ee 8, de-oha, 4 4 KO ae : apy dapiace on loath aides —He<_ se owe ce ao * est os -Onl6) + B,99(5) + KO) qs) = eS) (3\S+ B\ 2+ BS 48544) zi aoe { ee body at Io%- ——— eee sonst Te, 4 TIo+ 784 = © a d%O2, By 1% BS (6-0) +h co ce \ lace onboth pleas _< %g,(8) ae 4 Bq sfois)*9) m@m 57,280 + % s) - 8,563) > ox{s)( aS 4 BS - Behaviour element A comafo frre do ; equfinatent, ieee, { "ral d, Mafr R R Ri UY ! 4} Ld an Rts >) Lt fe as . xt Cc lc 3 Ue {rat Saas Steps told oF De ee ateeiton of cecal Ri place Afne domes nelwosk worth th equivalent $s deena mebwoosk 3 Step? Tdertfy Sopat ) Output Vasfable, _Seps 1 postte Eanes Tele | KVL gett 2 By doing Colcucate the transfer function es ak ectricall metuogh - ° ox oot ungubte for @ syrtewn | ind Ovt the tranafor Rancton of the alectrtcal netoork: following oft iB eren tS. cena [aaah z oe P ento some ematerraktal nanuplatind of the gien Sine R sl 0) WWW prised ia es I 1 O.) oe ey —rronifer fun cdion = o of Ap daplace of ilp = Vols) “Ns (S) \is(s) = RT (Ss) +t (5) + ‘kg +(5) Nfs} = [et SL +s | t(8) Nef). = ce as) 18) KO) Te aps cs > Ress diel 2, ReStSictt ae Pas rT \o(S) a jl log Vets) Bicaees yw thes els AL nett @ rie : a va te | ae xs) L . Metoo ~~) \b6(S) | Vas) Vds) > Ras) +--T(s) +31 2s) | slob) = Sis (R) aS 
