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    CONTROL SYSTEM

    OBJECTIVE TYPE QUESTIONS

    1. The temperature control system in the human body is an example of a closed-loopcontrol system.

    a) True b) False

    2.In a temperature control system, what represents the output of the system?a) The reuired temperature. b) The actual temperature achie!ed.

    c) The heat produced by the system. d) The heatin" element.

    #.$hat is the !olta"e "ain of the followin" arran"ement?

    a)%1+AB)&B b) B& %1+AB)

    c) %1+AB)&A d) A& %1+AB)

    '.(nder what conditions does the "ain of a feedbac system approximate to 1&B?a) The loop "ainAB** 1. b) The feedbac path "ainB** 1.

    c) The forward path "ainA** 1. d) The loop "ainAB++ 1.

    .$hat is the "ain of the followin" passi!e attenuator?

    a) .1 b) .11c) d) 1

    /.$hat is the effect of ne"ati!e feedbac on the "ain of an amplifier?

    a) It reduces the "ain by a factor of %1 0AB).

    b) It reduces the "ain by a factor of 1&B.c) It increases the "ain by a factor of 1&B.

    d) It increases the "ain by a factor of %1 0 AB).

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    .$hat is the effect of ne"ati!e feedbac on the bandwidth of an amplifier?

    a) It reduces the bandwidth, often by a factor of %1 0AB).

    b) It reduces the bandwidth, often by a factor of 1&B.c) It increases the bandwidth, often by a factor of %1 0 AB).

    d) It increases the bandwidth, often by a factor of 1&B.

    )$hat are the effects of ne"ati!e feedbac on the input and output resistance of anamplifier?

    a)It increases input resistance and decreases output resistance.

    b) It can either increase or decrease the input and output resistance dependin" on how it isapplied.

    c) It decreases input resistance and increases output resistance.

    d) It increases both input and output resistance.

    )3e"ati!e feedbac reduces the noise corruptin" a si"nal by a factor of %1 0AB).a) True b) False

    1.The dia"ram below shows a closed-loop control system. $hat element is representedby the circle labeled 4?

    a) The error si"nal. b) The "oal.c)) The user d) The forward path

    11) The open loop transfer function of a unity feed bac control system is "i!en as

    5%s) 6as 0 1s 2 The !alue of 7a8 to "i!e a phase mar"in of '9 is eual toa) .1'1 b) .''1 c) .'1 d) 1.1'1

    12)The solution of the first order differential euation x%t) 6 -#x%t), x %) 6 x is

    a) x %t) 6 x e -#t b) x %t) 6 x e -#c) x %t) 6 x e -1 d) x %t) 6 x e -1

    1#)The unit impulse response of a second order under-damped system startin" from rest

    is "i!en by c%t) 6 12. e -/t sin t, %t ) The steady-state !alue of the unit step response

    of the system is eual toa) b) .2 c) . d) 1.

    1')The 3yuist plot of loop transfer function 5%s) :%s) of a closed loop control system

    passes throu"h the point %-1, ;) in the 5%s) :%s) plane. The phase mar"in of the system isa) 9 c) '9 c) 9 d) 19

    1) '1. Transient response is basically because of

    a) ser!omechanism is a feed bac control system reuires to control

    a)position b)a deri!ati!e of position c)ither a or b d)3one of these

    1)Transfer function of a system is used to calculate

    a)steady state "ain b)time constant c) order of a system d)@utput for a "i!en input1)$hich of the followin" is a closed loop system ?

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    a)lectric switch b)mplidynec) >rmature controlled of A< motor d)Field controlled of A< motor

    2)The difference of the reference input and the actual output si"nal is calleda) error si"nal b) controllin" si"nal c)actuatin" si"nal d)Transfer function

    21) In a type1 system, the steady acceleration error is

    a) Dero b)(nity c) infinity d)none22) In a second order system if the dampin" factor is less than unity the system will be

    a) (nder damped b) @!er damped c)

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    c) water cloc of tesibios

    d) all of the abo!e

    2) > model of a machine-tool system with unity feedbac is

    =electin"K26 1, determine a suitable !alue ofK1for a percent o!ershoot of

    approximately 2J.a)K16 1. b)K16 .

    c)K16 . d)K16 2.

    2)

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    2)

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    c)

    d)

    #2)

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    b)

    c)

    d) 3one of the abo!e

    #)

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    #) The closed-loop transfer function T(s) = Y(s)/R(s)isG

    a)

    b)

    c)

    d)

    #) The closed-loop unit step response isG

    a)

    b)

    c)

    d)

    ') The final !alue ofy(t)isG

    a)

    b)

    c)

    d)

    '1)

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    '2) > car of mass m61" is attached to a truc usin" a sprin" of stiffnessK6 2

    3&m and a damper of constant b6 2 3s&m. The truc mo!es at a constant accelerationof a6 . m&s2.

    The transfer function between the speed of the truc and the speed of the car is G

    a)

    b)

    c)

    d) 3one of the abo!e

    '#)

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    >ssumin"R(s)6 , the closed-loop transfer function from the disturbanceD(s)to the

    output Y(s)isG

    a)

    b)

    c)

    d)

    ')Important modern applications of control systems include which of the followin"?

    a) Fuel-efficient and safe automobiles b) >utonomous robots

    c) >utomated manufacturin" d) >ll of the abo!e'/)

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    2)ll of the abo!e

    ')The slope of the asymptotic plot at !ery low%O ++P) and %O **1) freuencies are,respecti!elyG

    a) >t low freuencyG slope 6 -2 dE&dec and at hi"h freuencyG slope 6 -2 dE&dec

    b) >t low freuencyG slope 6 2 dE&dec and at hi"h freuencyG slope 6 2 dE&dec

    c) >t low freuencyG slope 6 dE&dec and at hi"h freuencyG slope 6 -' dE&decd) >t low freuencyG slope 6 dE&dec and at hi"h freuencyG slope 6 2 dE&dec

    )The percent o!ershoot of the output to a unit step input is approximatelyGa) PO6 1J b) PO6 2J c) PO6 J d) 3o o!ershoot

    /)(sin" the Kouth-:urwitD criterion, determine whether the system is stable, unstable,of mar"inally stable.

    a) =table b) unstable c) mar"inally stable)> di"ital control system uses di"ital si"nals and a di"ital computer to control aprocess.

    a) True b) False) The sampled si"nal is a!ailable only with limited precision.

    a) True b) False

    ) Koot locus methods are not applicable to di"ital control system desi"n and analysis.

    a) True b) False/) > sampled system is stable if all the poles of the closed-loop transfer function lie

    outside the unit circle of the D-plane.

    a) True b) False/1) The D-transform is a conformal mappin" from the s-plane to the D-plane by the

    relationz = esT.

    a) True b) False/2) The si"nal flow "raph is used to find the

    a) stability of the system

    b) Transfer function of the system

    c)

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    /)> synchro transmitter recei!er unit is a

    a) two phase ac de!ice b) #-phase ac de!ice

    c) dc de!ice d) sin"le phase ac de!ice//) In the deri!ati!e error compensation dampin"

    a) decreases and settlin" time decreases

    b) increases and settlin" time increasesc) decreases and settlin" time increases

    d) increases and settlin" time decreses.

    /)In the position control systems,the de!ice used for pro!idin" rate feedbac !olta"e iscalled

    a) Botentiometer b) =ynchro- transmitter c) synchro transformer d) Tacho"enerator

    /) The ac motor used in ser!o application is a

    a) sin"le phase induction motor b) two phase induction motorc) three phase induction motor d) synchronous motor

    /) The steady state error of a stable type unity feedbac system ,for a unit step

    function is

    a) b) R c) p d) 1& %10p).Koot locus can be used to predict the system transient response

    a)true b)false1)The most common use of the synchros is

    a)as error detector

    b)for transmission of arithmetic datac)for transmission of an"ular data

    d)for synchroniDation

    2)=ynchro transmitter acts lie

    a)an induction motor b)a transformer c)an alternator d)a rectifier#)The followin" de!ice may be used to control the position of a !ery small load

    a)an >< ser!o motor b)a A< ser!o motor c)a synchro d)none of these

    ')The phase cross freuency is the one at which the phase an"le isa) b) c)- d)1

    )5ain mar"in is the reciprocal of the "ain at freuency at which the phase an"le is

    a) b) c)1 d)-/).Cead-la" compensation is needed for

    a)transient response impro!ement

    b)steady state response impro!ement

    c)both transient and steady state response impro!ementd)none of these

    )>ddition of poles in transfer function causes

    a)lead compensation b)la" compensation c)la"-lead compensation d)none)>ddition of DeroHs in transfer function causes

    a)lead compensation b)la" compensation c)la"-lead compensation d)none

    )Bresence of non-linearities in a control system tends to introducea)transient error b)instability c)steady-state error d)all the abo!e

    ) > phase la" compensation will be

    a) impro!e relati!e stability b) increase the speed of response

    c) increase Eand width d) increase o!ershoot

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    1) For main" the unstable system stable

    a) "ain of the system should be increases

    b) "ain of the system should be decreasesc) the number of Deroes to the loop transfer function should be increased

    d) the number of poles to the loop transfer function should be increased

    2) >s compared to a closed loop system, an open loop system isa) more stable as well as more accurate

    b) less stable as well as less accurate

    c) more stable but less accurated) less stable but more accurate

    #) The phase lead compensation is used to

    a) increase rise time and decrease o!ershoot

    b) decrease both rise time and o!ershootc) increase both rise time and o!ershoot

    d) decrease rise time and increase o!ershoot

    ') > linear discrete time system has the characteristic euation , #-.16

    The system isa) stable b) mar"inally stable c) unstable d) stability cannot be accessed from the "i!en

    information) 3on minimum phase transfer function is defined as the transfer function , which has

    a) eroes and poles in the ri"ht half of s plane

    b) Deroes in the left half of s planec) poles in the ri"ht half of s plane

    d) poles in the left half of s plane

    /) For a second order system, the dampin" ratio,+S+1,then the roots of the

    characteristic polynomial area) real but not eual b) real and eual

    c) complex con;u"ates d) ima"inary

    ) Cead compensator1)increases the mar"in of the stability

    2) speeds up transient response

    #) does not affect the system error constanta) 2 # are correct b) 1 2 are correct c) 1 # are correct d) all are correct

    ) In a synchro error detector, the output !olta"e is proportional to UO %t)V n, where O%t)

    Is the rotor !elocity and n euals

    a) -2 b) -1 c) 1 d) 2) The constant N-circles correspondin" to the ma"nitude %N) of the closed loop

    transfer function of a linear system of !alues of N "reater than one lie in the 5 plane is

    a) ri"ht of the N61 lineb) left of the N61 line

    c) upper side of the N60;1 line

    d) lower side of the N6-;1 line) >n effect of phase-la" compensation on ser!o system performance is that

    a) for a "i!en relati!e stability, the !elocity constant is increased

    b) for a "i!en relati!e stability, the !elocity constant is decreased

    c) the bandwidth of the system is increased

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    d) the time response is made faster

    1) The transfer function of the tachometer is of the form

    a) s b) &s c) &%s01) d) &s%s01)2)The principles of homo"eneity and superposition are applied to

    a) linear time !ariant system b) non-linear time in!ariant system

    c) linear time in!ariant systems d) non-linear time in!ariant systems#) the final !alue theorem is used to find the

    a) =teady state !alue of the system output

    b) intial !alue of the system outputc) transient beha!iour of the system output

    d) 3one of these

    ')For a feedbac control system of type 2, the steady state error for a ramp input is

    a) infinite b) constant c) Dero d) indeterminate) The transfer function of the system is 1&10s.$hen operated as a unity feedbac

    system ,the steady state error will be

    a) Dero b) 1&11 c) 1 d) infinity

    /) If the "ain of the open loop system is doubled ,the "ain mar"ina) is not affected b)"ets doubled c) becomes half d) become one fourth

    ) sinusoidal oscillators are

    a) stable b) unstable c) mar"inally unstable d)conditionally stable

    ) phase mar"in of the sytem is used to specicya) relati!e stability b) absolute stability c) time response d)freuency response

    )$hich of the followin" is an example of an open loop system ?

    a) :ouse hold refri"erator

    b) Kespiratory system of an animalc) =tabiliDations of air pressure enterin" in to a mas

    d) xecution of a pro"ram by a computer

    1) In a Eode plot of a unity feedbac control system , the !alue of phase of 5%; O) atthe "ain cross o!er freuency is -12W. The phase mar"in will be

    a)-12W b) -W c) W d)12W

    IC 1251 CONTROL SYSTEMSTwo Marks Questions1.What is freuen!" res#onse$% freuen!" res#onse is the stea&" state res#onse of a s"ste' whenthein#ut to

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    the s"ste' is a sinusoi&a( si)na(.2.List out the &ifferent freuen!" &o'ain s#e!ifi!ations$The freuen!" &o'ain s#e!ifi!ation arei*Resonant #eak. ii*Resonant freuen!".+.,efine -resonant eak /r*$

    The 'a0i'u' a(ue of the 'a)nitu&e of !(ose& (oo# transfer fun!tionis!a((e&resonant #eak..,efine -Resonant freuen!"/f*$The freuen!" at whi!h resonant #eak o!!urs is !a((e& resonantfreuen!".5.What is 3an&wi&th$The 3an&wi&th is the ran)e of freuen!ies for whi!h the s"ste' )ain Is'ore than+ &34.The 3an&wi&th is a 'easure of the a3i(it" of a fee&3a!k s"ste'

    tore#ro&u!e thein#ut si)na( noise re6e!tion !hara!teristi!s an& rise ti'e.7.,efine Cut8off rate$The s(o#e of the (o)8'a)nitu&e !ure near the !ut8off is !a((e& !ut8offrate. The!ut8off rate in&i!ates the a3i(it" to &istin)uish the si)na( fro' noise.9.,efine -:ain Mar)in$The )ain 'ar)ink) is &efine& as the re!i#ro!a( of the 'a)nitu&e of theo#en (oo#transfer fun!tion at #hase !ross oer freuen!".

    :ain 'ar)in k) ; 1 < | :/6 #!* |.=.,efine hase !ross oer$The freuen!" at whi!h the #hase of o#en (oo# transfer fun!tions is!a((e& #hase!ross oer freuen!" #!.>.What is #hase 'ar)in$The #hase 'ar)in is the a'ount of #hase (a) at the )ain !ross oerfreuen!"reuire& to 3rin) s"ste' to the er)e of insta3i(it".11.,efine :ain !ross oer$

    The )ain !ross oer freuen!" )! is the freuen!" at whi!h the'a)nitu&e ofthe o#en (oo# transfer fun!tion is unit"..12.What is 4o&e #(ot$The 4o&e #(ot is the freuen!" res#onse #(ot of the transfer fun!tion ofas"ste'.% 4o&e #(ot !onsists of two )ra#hs. One is the #(ot of 'a)nitu&e of

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    sinusoi&a( transferfun!tion ersus (o) .The other is a #(ot of the #hase an)(e of asinusoi&a(fun!tionersus (o) .

    1+.What are the 'ain a&anta)es of 4o&e #(ot$The 'ain a&anta)es are?i* Mu(ti#(i!ation of 'a)nitu&e !an 3e in to a&&ition.ii* % si'#(e 'etho& for sket!hin) an a##ro0i'ate (o) !ure isaai(a3(e.iii* It is 3ase& on as"'#toti! a##ro0i'ation. Su!h a##ro0i'ation issuffi!ient if rou)h infor'ation on the freuen!" res#onse!hara!teristi! is nee&e&.i* The #hase an)(e !ures !an 3e easi(" &rawn if a te'#(ate for the#hase an)(e !ure of 1@ 6 is aai(a3(e.1.,efine Corner freuen!"$

    The freuen!" at whi!h the two as"'#toti! 'eet in a 'a)nitu&e #(ot is!a((e&!orner freuen!".15.,efine hase (a) an& #hase (ea&$% ne)atie #hase an)(e is !a((e& #hase (a).% #ositie #hase an)(e is !a((e& #hase (ea&.17.What are M !ir!(es$The 'a)nitu&e of !(ose& (oo# transfer fun!tion with unit fee& 3a!k !an3e shownto 3e in the for eer" a(ue if M.These !ir!(es are !a((e& M !ir!(es.19.What is Ni!ho(s !hart$

    The !hart !onsistin) if M A N (o!i in the (o) 'a)nitu&e ersus #hase&ia)ra' is !a((e& Ni!ho(s !hart.1=.What are two !ontours of Ni!ho(s !hart$Ni!ho(s !hart of M an& N !ontours su#eri'#ose& on or&inar" )ra#h.TheM!ontours are the 'a)nitu&e of !(ose& (oo# s"ste' in &e!i3e(s an& theN!ontours are the#hase an)(e (o!us of !(ose& (oo# s"ste'.1>.Bow is the Resonant eak/Mr* resonant freuen!"/Wr * an& 3an&wi&th&eter'ine& fro' Ni!ho(s !hart$i* The resonant #eak is )ien 3" the a(ue of .!ontour whi!h is tan)entto:/6 * (o!us.ii* The resonant freuen!" is )ien 3" the freuen!" of :/6 * at thetan)en!" #oint.

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    iii* The 3an&wi&th is )ien 3" freuen!" !orres#on&in) to theinterse!tion#oint of :/6 * an& -+&4 M8!ontour.2What are the a&anta)es of Ni!ho(s !hart$The a&anta)es are?

    i* It is use& to fin& the !(ose& (oo# freuen!" res#onse fro' o#en (oo#freuen!" res#onse.ii* Dreuen!" &o'ain s#e!ifi!ations !an 3e &eter'ine& fro' Ni!ho(s!hart.iii* The )ain of the s"ste' !an 3e a&6uste& to satisf" the )iens#e!ifi!ation.21.What are the two t"#es of !o'#ensation$i. Cas!a&e or series !o'#ensationii. Dee&3a!k !o'#ensation or #ara((e( !o'#ensation22.What are the three t"#es of !o'#ensators$i. La) !o'#ensator

    ii. Lea& !o'#ensatoriii. La)8Lea& !o'#ensator2+.What are the uses of (ea& !o'#ensator$2+ s#ee&s u# the transient res#onse2 in!reases the 'ar)in of sta3i(it" of a s"ste'25 in!reases the s"ste' error !onstant to a (i'ite& e0tent.2.What is the use of (a) !o'#ensator$I'#roe the stea&" state 3ehaior of a s"ste' whi(e near("#reserin) itstransient res#onse.25.When is (a) (ea& !o'#ensator is reuire&$

    The (a) (ea& !o'#ensator is reuire& when 3oth the transient an&stea&"stateres#onse of a s"ste' has to 3e i'#roe&27.What is a !o'#ensator$% &ei!e inserte& into the s"ste' for the #ur#ose of satisf"in) thes#e!ifi!ations is!a((e& as a !o'#ensator.27.What is n"uist !ontourThe !ontour that en!(oses entire ri)ht ha(f of S #(ane is !a((e& n"uist!ontour.

    29.State N"uist sta3i(it" !riterion.If the N"uist #(ot of the o#en (oo# transfer fun!tion :/s*!orres#on&in) tothen"uist !ontro( in the S8#(ane en!ir!(es the !riti!a( #oint -1@6 in the!ounter!(o!kwise &ire!tion as 'an" ti'es as the nu'3er of ri)ht ha(f S8#(ane#o(es of

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    :/s*the !(ose& (oo# s"ste' is sta3(e.2=.,efine Re(atie sta3i(it"Re(atie sta3i(it" is the &e)ree of !(oseness of the s"ste'it anin&i!ation ofstren)th or &e)ree of sta3i(it".

    2>.What are the two se)'ents of N"uist !ontour$i. %n finite (ine se)'ent C1 a(on) the i'a)inar" a0is.ii. %n ar! C2 of infinite ra&ius.+.What are root (o!i$The #ath taken 3" the roots of the o#en (oo# transfer fun!tion whenthe(oo# )ainis arie& fro' to F are !a((e& root (o!i.+1.What is a &o'inant #o(e$The &o'inant #o(e is a air of !o'#(e0 !on6u)ate #air whi!h &e!i&es thetransient

    res#onse of the s"ste'.+2.What are the 'ain si)nifi!an!es of root (o!us$i. The 'ain root (o!us te!hniue is use& for sta3i(it" ana("sis.ii. Gsin) root (o!us te!hniue the ran)e of a(ues of H for as ta3(es"ste'!an 3e&eter'ine&++.What are the effe!t of a&&in) a ero to a s"ste'$%&&in) a ero to a s"ste' in!reases #eak oershoot a##re!ia3(".+.What are N !ir!(es$If the #hase of !(ose& (oo# transfer fun!tion with unit" fee&3a!k is F

    thentan Fwi(( 3e in the for' of !ir!(es for eer" a(ue of F. These !ir!(es are!a((e& N!ir!(es.+5.What is !ontro( s"ste'$% s"ste' !onsists of a nu'3er of !o'#onents !onne!te& to)ether to#erfor' a s#e!ifi!fun!tion . In a s"ste' when the out#ut uantit" is !ontro((e& 3" ar"in)the in#utuantit" then the s"ste' is !a((e& !ontro( s"ste'.

    +7.What are the two 'a6or t"#es of !ontro( s"ste'$the two 'a6or t"#es of !ontro( s"ste' are o#en (oo# an& !(ose& (oo#+9.,efine o#en (oo# !ontro( s"ste'.The !ontro( s"ste' in whi!h the out#ut uantit" has no effe!t u#on thein#ut uantit" are!a((e& o#en (oo# !ontro( s"ste'. This 'eans that the out#ut is notfee&3a!k to the in#utfor !orre!tion.

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    +=.,efine !(ose& (oo# !ontro( s"ste'.The !ontro( s"ste' in whi!h the out#ut has an effe!t u#on the in#utuantit" so as to'aintain the &esire& out#ut a(ue are !a((e& !(ose& (oo# !ontro(s"ste'.

    +>.What are the !o'#onents of fee&3a!k !ontro( s"ste'$the !o'#onents of fee&3a!k !ontro( s"ste' are #(ant fee&3a!k #athe(e'ents error&ete!tor an& !ontro((er..,efine transfer fun!tion.The T.D of a s"ste' is &efine& as the ratio of the (a#(a!e transfor' ofout#ut to (a#(a!etransfor' of in#ut with ero initia( !on&itions.1.What are the 3asi! e(e'ents use& for 'o&e(in) 'e!hani!a(trans(ationa( s"ste'.Mass s#rin) an& &ash#ot

    2.What are the 3asi! e(e'ents use& for 'o&e(in) 'e!hani!a(rotationa(s"ste'$Mo'ent of inertia Jf&ash#o with rotationa( fri!tiona( !oeffi!ient 4 an&torsiona( s#rin)with stiffness H+.Na'e two t"#es of e(e!tri!a( ana(o)ous for 'e!hani!a( s"ste'.The two t"#es of ana(o)ies for the 'e!hani!a( s"ste' areDor!e o(ta)e an& for!e !urrent ana(o)".What is 3(o!k &ia)ra'$% 3(o!k &ia)ra' of a s"ste' is a #i!toria( re#resentation of the

    fun!tions#erfor'e& 3"ea!h !o'#onent of the s"ste' an& shows the f(ow of si)na(s. The3asi!e(e'ents of 3(o!k&ia)ra' are 3(o!ks 3ran!h #oint an& su''in) #oint.5.What is the 3asis for fra'in) the ru(es of 3(o!k &ia)ra' re&u!tionte!hniue$The ru(es for 3(o!k &ia)ra' re&u!tion te!hniue are fra'e& su!h thatan"'o&ifi!ation 'a&e on the &ia)ra' &oes not a(ter the in#ut out#ut

    re(ation.7.What is a si)na( f(ow )ra#h$% si)na( f(ow )ra#h is a &ia)ra' that re#resents a set of si'u(taneousa()e3rai! euations.4" takin) L.T the ti'e &o'ain &ifferentia( euations )oernin) a!ontro(s"ste' !an 3etransferre& to a set of a()e3rai! euations in s8&o'ain.

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    9. What is trans'ittan!e$The trans'ittan!e is the )ain a!uire& 3" the si)na( when it trae(sfro'one no&e toanother no&e in si)na( f(ow )ra#h.

    =.What is sink an& sour!e$Sour!e is the in#ut no&e in the si)na( f(ow )ra#h an& it has on("out)oin)3ran!hes.Sink is a out#ut no&e in the si)na( f(ow )ra#h an& it has on(" in!o'in)3ran!hes.>.,efine non tou!hin) (oo#.The (oo#s are sai& to 3e non tou!hin) if the" &o not hae !o''onno&es.5.Write Masons :ain for'u(a.Masons :ain for'u(a states that the oera(( )ain of the s"ste' is

    T ; 1< FFk k Fkk8o.of forwar& #aths in the si)na( f(ow )ra#h.k8 Dorwar& #ath )ain of kth forwar& #athF ; 18Ksu' of in&ii&ua( (oo# )ains @Ksu' of )ain #ro&u!ts of a((#ossi3(e!o'3inations of two non tou!hin) (oo#s8Ksu' of )ain #ro&u!ts of a((#ossi3(e!o'3inations of three non tou!hin) (oo#s@Fk 8 F for that #art of the )ra#h whi!h is not tou!hin) kth forwar& #ath.51.Write the ana(o)ous e(e!tri!a( e(e'ents in for!e o(ta)e ana(o)" forthe e(e'ents

    of 'e!hani!a( trans(ationa( s"ste'.Dor!e8o(ta)e ee(o!it" 8!urrent i,is#(a!e'ent 08!har)e Dri!tiona( !oeff 48Resistan!e RMass M8 In&u!tan!e LStiffness H8Inerse of !a#a!itan!e 1

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    5. Write the for!e 3a(an!e euation of i&ea( &ash#ot e(e'ent .D ; 4 &0

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    ii.Rise ti'eiii.eak ti'ei.eak oershoot7.,efine ,e(a" ti'e.The ti'e taken for res#onse to rea!h 5 of fina( a(ue for the er"

    firstti'e is &e(a"ti'e.75.,efine Rise ti'e.The ti'e taken for res#onse to raise fro' to 1 for the er" firstti'e isrise ti'e.77.,efine #eak ti'e.The ti'e taken for the res#onse to rea!h the #eak a(ue for the firstti'e is#eak ti'e.

    79.,efine #eak oershoot.eak oershoot is &efine& as the ratio of 'a0i'u' #eak a(ue'easure&fro' theMa0'iu' a(ue to fina( a(ue7=.,efine Sett(in) ti'e.Sett(in) ti'e is &efine& as the ti'e taken 3" the res#onse to rea!h an&sta" withins#e!ifie& error7>.What is the nee& for a !ontro((er$The !ontro((er is #roi&e& to 'o&if" the error si)na( for 3etter !ontro(

    a!tion9.What are the &ifferent t"#es of !ontro((ers$ro#ortiona( !ontro((erI !ontro((er, !ontro((erI, !ontro((er91.What is #ro#ortiona( !ontro((er$It is &ei!e that #ro&u!es a !ontro( si)na( whi!h is #ro#ortiona( to thein#ut errorsi)na(.92.What is I !ontro((er$

    It is &ei!e that #ro&u!es a !ontro( si)na( !onsistin) of two ter's -one#ro#ortiona( to error si)na( an& the other #ro#ortiona( to the inte)ra( oferror si)na(.92. What is , !ontro((er$, !ontro((er is a #ro#ortiona( #(us &eriatie !ontro((er whi!h #ro&u!esan out#ut si)na( !onsistin) of two ti'e 8one #ro#ortiona( to error si)na(an& other #ro#ortiona( to the &eriatie of the si)na(.9+ What is the si)nifi!an!e of inte)ra( !ontro((er an& &eriatie

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    !ontro((er in aI, !ontro((er$The #ro#ortiona( !ontro((er sta3i(ies the )ain 3ut #ro&u!es a stea&"stateerror.The inte)ra( !ontro( re&u!es or e(i'inates the stea&" state error.

    9.Wh" &eriatie !ontro((er is not use& in !ontro( s"ste's$The &eriatie !ontro((er #ro&u!es a !ontro( a!tion 3ase& on the rate of!han)e oferror si)na( an& it &oes not #ro&u!e !orre!tie 'easures for an"!onstanterror.95.,efine Stea&" state error.The stea&" state error is &efine& as the a(ue of error as ti'e ten&s toinfinit".97.What is the &raw3a!k of stati! !oeffi!ients$The 'ain &raw 3a!k of stati! !oeffi!ient is that it &oes not show the

    ariation oferror with ti'e an& in#ut shou(& 3e stan&ar& in#ut.99. What is ste# si)na($The ste# si)na( is a si)na( whose a(ue !han)es fro' ero to % at t; an&re'ains !onstant at % for tP.9=. What is ra'# si)na($The ra'# si)na( is a si)na( whose a(ue in!reases (inear(" with ti'efro'aninitia( a(ue of ero at t;.the ra'# si)na( rese'3(es a !onstant

    e(o!it".9>.What is a #ara3o(i! si)na($The #ara3o(i! si)na( is a si)na( whose a(ue aries as a suare of ti'efro' aninitia( a(ue of ero at t;.This #ara3o(i! si)na( re#resents !onstanta!!e(erationin#ut to the si)na(.=.What are the three !onstants asso!iate& with a stea&" state error$ositiona( error !onstante(o!it" error !onstant%!!e(eration error !onstant

    =1.What are the 'ain a&anta)es of )enera(ie& error !o8effi!ients$i* Stea&" state is fun!tion of ti'e.ii* Stea&" state !an 3e &eter'ine& fro' an" t"#e of in#ut=2. What are the effe!ts of a&&in) a ero to a s"ste'$%&&in) a ero to a s"ste' resu(ts in #ronoun!e& ear(" #eak to s"ste'res#onse there3" the #eak oershoot in!reases a##re!ia3(".=+. State8Ma)nitu&e !riterion.

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    The 'a)nitu&e !riterion states that s;sa wi(( 3e a #oint on root (o!us ifforthat a(ue of s ,/s* ; :/s*B/s* ;1=.State - %n)(e !riterion.The %n)(e !riterion states that s;sa wi(( 3e a #oint on root (o!us for

    thata(ue of s F,/s* ; F:/s*B/s* ;o&& 'u(ti#(e of 1==5. What is a &o'inant #o(e$The &o'inant #o(e is a #air of !o'#(e0 !on6u)ate #air whi!h &e!i&esthetransient res#onse of the s"ste'.=7.What is ste##er 'otor$% ste##er 'otor is a &ei!e whi!h transfor's e(e!tri!a( #u(ses intoeua(in!re'ents of rotar" shaft 'otion !a((e& ste#s.=9.What is sero'otor$

    The 'otors use& in auto'ati! !ontro( s"ste's or in sero'e!hanis'are!a((e&sero'otors. The" are use& to !onert e(e!tri!a( si)na( into an)u(ar'otion.==.Na'e the test si)na(s use& in !ontro( s"ste'the !o''on(" use& test in#ut si)na(s in !ontro( s"ste' are i'#u(seste#ra'#a!!e(eration an& sinusoi&a( si)na(s.=>.,efine 4I4O sta3i(it".

    % (inear re(a0e& s"ste' is sai& to hae 4I4IO sta3i(it" if eer" 3oun&e&in#utresu(ts in a 3oun&e& out#ut.>.What is the ne!essar" !on&ition for sta3i(it".The ne!essar" !on&ition for sta3i(it" is that a(( the !oeffi!ients of the!hara!teristi! #o("no'ia( 3e #ositie.>1.What is the ne!essar" an& suffi!ient !on&ition for sta3i(it".The ne!essar" an& suffi!ient !on&ition for sta3i(it" is that a(( of thee(e'ents inthe first !o(u'n of the routh arra" shou(& 3e #ositie.>2.What is ua&ranta( s"''etr"$

    The s"''etr" of roots with res#e!t to 3oth rea( an& i'a)inar" a0is!a((e&ua&ranta( s"''etr".>+.What is (i'ite&(" sta3(e s"ste'$Dor a 3oun&e& in#ut si)na( if the out#ut has !onstant a'#(itu&eos!i(((ations Thenthe s"ste' 'a" 3e sta3(e or unsta3(e un&er so'e (i'ite& !onstraintssu!h

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    a s"ste' is!a((e& (i'ite&(" sta3(e s"ste'.>.What is s"n!hros$% s"n!hros is a &ei!e use& to !onert an an)u(ar 'otion to ane(e!tri!a(

    si)na( ori!eersa.>5.What is stea&" state error$The stea&" state error is the a(ue of error si)na( e/t* when t ten&s toinfinit".>7.What are stati! error !onstants.The H# H an& Ha are !a((e& stati! error !onstants.>9.What is the &isa&anta)e in #ro#ortiona( !ontro((er$The &isa&anta)e in #ro#ortiona( !ontro((er is that it #ro&u!es a!onstantstea&" state

    error.>=.What is the effe!t of , !ontro((er on s"ste' #erfor'an!e$The effe!t of , !ontro((er is to in!rease the &a'#in) ratio of thes"ste'an& so the#eak oershoot is re&u!e&.>>.Wh" &eriatie !ontro((er is not use& in !ontro( s"ste'$The &eriatie !ontro((er #ro&u!es a !ontro( a!tion 3ase& on rare of!han)e of errorsi)na( an& it &oes not #ro&u!e !orre!tie 'easures for an" !onstanterror.

    Ben!e&eriatie !ontro((er is not use& in !ontro( s"ste'1.What is the effe!t of I !ontro((er on the s"ste' #erfor'an!e$The I !ontro((er in!reases the or&er of the s"ste' 3" one whi!hresu(ts inre&u!in)the stea&" state error .4ut the s"ste' 3e!o'es (ess sta3(e than theori)ina(s"ste'.Si0teen Marks Questions1. Dor a )ien 'e!hani!a( or e(e!tri!a( or e(e!tro'e!hani!a( s"ste'

    &erie the transferfun!tion.. Dree 3o&" &ia)ra'. ,ifferentia( euation.Transfer fun!tion2.,eter'ination of the oera(( transfer fun!tion usin) 4(o!k &ia)ra're&u!tion te!hniue.

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    . Re&u!tion of 3(o!k &ia)ra'

    . ,eter'ination of Transfer fun!tion+. ,eter'ination of the oera(( transfer fun!tion fro' the )ien si)na(f(ow)ra#h usin) Masons )ain for'u(a.

    . Re&u!tion of si)na( f(ow )ra#h

    . %##(" 'asons )ain for'u(a.Write the #ro!e&ure for !onstru!tin) the 3(o!k &ia)ra' of a )ien'e!hani!a( or e(e!tri!a( or e(e!tro'e!hani!a( s"ste'.. Write the &ifferentia( euation. ,ee(o# 3(o!k &ia)ra'5.Din& the e(e!tri!a( ana(o)i!a( aria3(es of a 'e!hani!a( rotationa(s"ste'.. Write the &ifferentia( euation. ,raw the euia(ent e(e!tri!a( network

    7.,erie the e0#ressions of the ti'e &o'ain s#e!ifi!ations for ase!on&or&er s"ste' with unit ste# in#ut..Ti'e res#onse of se!on& or&er s"ste'. Rise ti'e. eak ti'e. eak oershoot. Sett(in) ti'e9.Din& the ti'e res#onse of a first or&er s"ste' for arious stan&ar&in#uts.. %##(" the in#ut. So(e usin) #artia( &ifferentia( euation. %##(" inerse La#(a!e transfor'+. Din& the ti'e res#onse of a se!on& or&er s"ste' for unit ste# in#ut.. %##(" the in#ut. So(e usin) #artia( &ifferentia( euation. %##(" inerse La#(a!e transfor'=.ro3(e's usin) stati! error !oeffi!ients or )enera(ie& error!oeffi!ients.. Din& the error !oeffi!ient. %##(" in for'u(a>.E0#(ain the workin) of S"n!hro trans'itter an& re!eier.. ,ia)ra'. Workin) #rin!i#(e1.Write the ru(es for !onstru!tin) the root (o!us.. Lo!ate #o(es A eros. Din& !entroi& A as"'#totes. Din& 4reak awa" or 4reak in #oints

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    . Din& !rossin) #oint in i'a)inar" a0is11.ro3(e's usin) root (o!us te!hniue.. Lo!ate #o(es A eros. Din& !entroi& A as"'#totes. Din& 4reak awa" or 4reak in #oints

    . Din& !rossin) #oint in i'a)inar" a0is12.Sta3i(it" ana("sis usin) Rouths !riterion.. Constru!t routh arr". Che!k the first !o(u'n for sta3i(it"1+.,erie the e0#ression for the freuen!" &o'ain s#e!ifi!ations of ase!on&or&er s"ste'.. :ain Mar)in. hase 'ar)in. :ain !ross oer freuen!"

    . hase !rossoer freuen!"1.:ien the o#en (oo# transfer fun!tion :/s*B/s*;1

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    19.:ien the o#en (oo# transfer fun!tion a s"ste' with unit" fee&3a!k:/s*B/s*;H.Write the #ro!e&ure for &esi)nin) the (a) !o'#ensator.. Din& the a(ue of H. Din& the #hase 'ar)in of un!o'#ensate& s"ste'. Din& the new #hase 'ar)in A )ain !ross oer freuen!". Ca(!u(ate F A T. Din& :!/S*. Din& :o/s*. erif" hase 'ar)in2.Write the #ro!e&ure for &esi)nin) the (a)8(ea& !o'#ensator.. Din& the a(ue of H

    . Din& the #hase 'ar)in of un!o'#ensate& s"ste'

    . Din& the new #hase 'ar)in

    . Din& new )ain !ross oer freuen!"

    . Ca(!u(ate 4 F T1 A T2

    . Din& :!/S*

    . Din& :o/s*

    . erif" hase 'ar)in21.,esi)n ro3(e's22.Write how wi(( "ou se(e!t a suita3(e !o'#ensator for the )iens"ste'.

    . Ref 3ook V%&an!e& Contro( Theor"V 3" Na)oor Hani Gnit I