SOLUTION
MANUAL
Apago PDF Enhancer
x x
, 1-17x SolutionsxtoxProblems
Student companion website
x x
Foundedxinx1807,xJohnxWileyx&xSons,xInc.xhasxbeenxaxvaluedxsourcexofxknowledgexandxunderstandin
gxforxmorexthanx200xyears,xhelpingxpeoplexaroundxthexworldxmeetxtheirxneedsxandxfulfillxtheirxaspirat
ions.xOurxcompanyxisxbuiltxonxaxfoundationxofxprinciplesxthatxincludexresponsibilityxtoxthexcommunit
iesxwexservexandxwherexwexlivexandxwork.xInx2008,xwexlaunchedxaxCorporatexCitizenshipxInitiative,xa
xglobalxeffortxtoxaddressxthexenvironmental,xsocial,xeconomic,xandxethicalxchallengesxwexfacexinxourxb
usiness.xAmongxthexissuesxwexarexaddressingxarexcarbonximpact,xpaperxspecificationsxandxprocureme
nt,xethicalxconductxwithinxourxbusinessxandxamongxourxvendors,xandxcommunityxandxcharitablexsup
port.xForxmorexinformation,xpleasexvisitxourxwebsite:x www.wiley.com/go/citizenship.
Copyrightx©x 2011xbyxJohnxWileyx&xSons,xInc.
Noxpartxofxthisxpublicationxmayxbexreproduced,xstoredxinxaxretrievalxsystemxorxtransmittedxinxanyxfor
mxorxbyxanyxmeans,xelectronic,xmechanical,xphotocopyingxrecording,xscanningxorxotherwise,xexceptxa
sxpermittedxunderxSectionsx107xorx108xofxthex1976xUnitedxStatesxCopyrightxAct,xwithoutxeitherxthexp
riorxwrittenxpermissionxofxthexPublisherxorxauthorizationxthroughxpaymentxofxthexappropriatexper-
xcopyxfeextoxthexCopyrightxClearancexCenter,x222xRosewoodxDrive,xDanvers,xMAx01923,x(978)x750-
x8400,xfaxx(978)x646-
8600.xRequestsxtoxthexPublisherxforxpermissionxshouldxbexaddressedxtoxthexPermissionsxDepartment,xJ
ohnxWileyx&xSons,xInc.,x111xRiverxStreet,xHoboken,xNJx07030-5774,x(201)x748-
6011,xfaxx(201)x748-6008xorxonlinexatxhttp://www.wiley.com/go/permissions.
Evaluationxcopiesxarexprovidedxtoxqualifiedxacademicsxandxprofessionalsxforxreviewxpurposesxonly,xfo
rxusexinxtheirxcoursesxduringxthexnextxacademicxyear.xThesexcopiesxarexlicensedxandxmayxnotxbexsoldx
orxtransferredxtoxaxthirdxparty.xUponxcompletionxofxthexreviewxperiod,xpleasexreturnxthexevaluationxc
opyxtoxWiley.xReturnxinstructionsxandxaxfreexofxchargexreturnxshippingxlabelxarexavailablexatxwww.wi
ley.com/go/returnlabel.xOutsidexofxthexUnitedxStates,xpleasexcontactxyourxlocalxrepresentative
ISBNx13 978-0470-54756-4
Copyrightx©x 2011xbyxJohnxWileyx&xSons,xInc
.
, O NEx xx
Introduction
ANSWERS TO REVIEW QUESTIONS
x x x
1. Guidedxmissiles,xautomaticxgainxcontrolxinxradioxreceivers,xsatellitextrackingxantenna
2. Yesx-xpowerxgain,xremotexcontrol,xparameterxconversion;xNox-xExpense,xcomplexity
3. Motor,xlowxpassxfilter,xinertiaxsupportedxbetweenxtwoxbearings
4. Closed-
loopxsystemsxcompensatexforxdisturbancesxbyxmeasuringxthexresponse,xcomparingxitxtoxthexinputxr
esponsex(thexdesiredxoutput),xandxthenxcorrectingxthexoutputxresponse.
5. Underxthexconditionxthatxthexfeedbackxelementxisxotherxthanxunity
6. Actuatingxsignal
7. Multiplexsubsystemsxcanxtimexsharexthexcontroller.xAnyxadjustmentsxtoxthexcontrollerxcanxbex
implementedxwithxsimplyxsoftwarexchanges.
8. Stability,xtransientxresponse,xandxsteady-statexerror
9. Steady-state,xtransient
10. Itxfollowsxaxgrowingxtransientxresponsexuntilxthexsteady-
statexresponsexisxnoxlongerxvisible.xThexsystemxwillxeitherxdestroyxitself,xreachxanxequilibriumxstatex
becausexofxsaturationxinxdrivingxamplifiers,xorxhitxlimitxstops.
11. Naturalxresponse
12. Determinexthextransientxresponsexperformancexofxthexsystem.
13. Determinexsystemxparametersxtoxmeetxthextransientxresponsexspecificationsxforxthexsystem.
14. True
15. Transferxfunction,xstate-space,xdifferentialxequations
16. Transferxfunctionx-xthexLaplacextransformxofxthexdifferentialxequation
State-spacex-xrepresentationxofxanxnthxorderxdifferentialxequationxasxnxsimultaneousxfirst-
orderxdifferentialxequations
Differentialxequationx-xModelingxaxsystemxwithxitsxdifferentialxequation
SOLUTIONS TO PROBLEMS x x
50xvolts
1. Fivexturnsxyieldsx50xv.xThereforexKx= =x1.59
5xxx2xxrad
Copyrightx©x 2011xbyxJohnxWileyx&xSons,xInc
.
, 1-2x Chapterx1:x Introduction
2.
Desiredxt Temperaturex Voltagex Actualxte
Fuelxflo
emperature difference difference mperature
w
x
+ x Thermostat Amplifierxandx x
Heater
valves
-
3.
Desiredx Input Errorx Aileronx Rollx Rollxa
roll xvoltag voltage position rate ngle
angle e
+ xxxxxxxxxx
Aileronxp Aircraftxd
x Pilotxcont x x Integrate
ositionxc ynamics
rols
ontrol
-
Gyro
Gyroxvoltage
4.
Inputx
Speedx
Desired voltage Actualx
Errorxv Motorxa
xspeed speed
+ oltage ndxdriv
transducer Amplifier e
system
-
Dancerx
Dancerx
position
Voltagexpr sensor dynamics
oportional
toxactualxspeed
Copyrightx©x 2011xbyxJohnxWileyx&xSons,xInc
.
MANUAL
Apago PDF Enhancer
x x
, 1-17x SolutionsxtoxProblems
Student companion website
x x
Foundedxinx1807,xJohnxWileyx&xSons,xInc.xhasxbeenxaxvaluedxsourcexofxknowledgexandxunderstandin
gxforxmorexthanx200xyears,xhelpingxpeoplexaroundxthexworldxmeetxtheirxneedsxandxfulfillxtheirxaspirat
ions.xOurxcompanyxisxbuiltxonxaxfoundationxofxprinciplesxthatxincludexresponsibilityxtoxthexcommunit
iesxwexservexandxwherexwexlivexandxwork.xInx2008,xwexlaunchedxaxCorporatexCitizenshipxInitiative,xa
xglobalxeffortxtoxaddressxthexenvironmental,xsocial,xeconomic,xandxethicalxchallengesxwexfacexinxourxb
usiness.xAmongxthexissuesxwexarexaddressingxarexcarbonximpact,xpaperxspecificationsxandxprocureme
nt,xethicalxconductxwithinxourxbusinessxandxamongxourxvendors,xandxcommunityxandxcharitablexsup
port.xForxmorexinformation,xpleasexvisitxourxwebsite:x www.wiley.com/go/citizenship.
Copyrightx©x 2011xbyxJohnxWileyx&xSons,xInc.
Noxpartxofxthisxpublicationxmayxbexreproduced,xstoredxinxaxretrievalxsystemxorxtransmittedxinxanyxfor
mxorxbyxanyxmeans,xelectronic,xmechanical,xphotocopyingxrecording,xscanningxorxotherwise,xexceptxa
sxpermittedxunderxSectionsx107xorx108xofxthex1976xUnitedxStatesxCopyrightxAct,xwithoutxeitherxthexp
riorxwrittenxpermissionxofxthexPublisherxorxauthorizationxthroughxpaymentxofxthexappropriatexper-
xcopyxfeextoxthexCopyrightxClearancexCenter,x222xRosewoodxDrive,xDanvers,xMAx01923,x(978)x750-
x8400,xfaxx(978)x646-
8600.xRequestsxtoxthexPublisherxforxpermissionxshouldxbexaddressedxtoxthexPermissionsxDepartment,xJ
ohnxWileyx&xSons,xInc.,x111xRiverxStreet,xHoboken,xNJx07030-5774,x(201)x748-
6011,xfaxx(201)x748-6008xorxonlinexatxhttp://www.wiley.com/go/permissions.
Evaluationxcopiesxarexprovidedxtoxqualifiedxacademicsxandxprofessionalsxforxreviewxpurposesxonly,xfo
rxusexinxtheirxcoursesxduringxthexnextxacademicxyear.xThesexcopiesxarexlicensedxandxmayxnotxbexsoldx
orxtransferredxtoxaxthirdxparty.xUponxcompletionxofxthexreviewxperiod,xpleasexreturnxthexevaluationxc
opyxtoxWiley.xReturnxinstructionsxandxaxfreexofxchargexreturnxshippingxlabelxarexavailablexatxwww.wi
ley.com/go/returnlabel.xOutsidexofxthexUnitedxStates,xpleasexcontactxyourxlocalxrepresentative
ISBNx13 978-0470-54756-4
Copyrightx©x 2011xbyxJohnxWileyx&xSons,xInc
.
, O NEx xx
Introduction
ANSWERS TO REVIEW QUESTIONS
x x x
1. Guidedxmissiles,xautomaticxgainxcontrolxinxradioxreceivers,xsatellitextrackingxantenna
2. Yesx-xpowerxgain,xremotexcontrol,xparameterxconversion;xNox-xExpense,xcomplexity
3. Motor,xlowxpassxfilter,xinertiaxsupportedxbetweenxtwoxbearings
4. Closed-
loopxsystemsxcompensatexforxdisturbancesxbyxmeasuringxthexresponse,xcomparingxitxtoxthexinputxr
esponsex(thexdesiredxoutput),xandxthenxcorrectingxthexoutputxresponse.
5. Underxthexconditionxthatxthexfeedbackxelementxisxotherxthanxunity
6. Actuatingxsignal
7. Multiplexsubsystemsxcanxtimexsharexthexcontroller.xAnyxadjustmentsxtoxthexcontrollerxcanxbex
implementedxwithxsimplyxsoftwarexchanges.
8. Stability,xtransientxresponse,xandxsteady-statexerror
9. Steady-state,xtransient
10. Itxfollowsxaxgrowingxtransientxresponsexuntilxthexsteady-
statexresponsexisxnoxlongerxvisible.xThexsystemxwillxeitherxdestroyxitself,xreachxanxequilibriumxstatex
becausexofxsaturationxinxdrivingxamplifiers,xorxhitxlimitxstops.
11. Naturalxresponse
12. Determinexthextransientxresponsexperformancexofxthexsystem.
13. Determinexsystemxparametersxtoxmeetxthextransientxresponsexspecificationsxforxthexsystem.
14. True
15. Transferxfunction,xstate-space,xdifferentialxequations
16. Transferxfunctionx-xthexLaplacextransformxofxthexdifferentialxequation
State-spacex-xrepresentationxofxanxnthxorderxdifferentialxequationxasxnxsimultaneousxfirst-
orderxdifferentialxequations
Differentialxequationx-xModelingxaxsystemxwithxitsxdifferentialxequation
SOLUTIONS TO PROBLEMS x x
50xvolts
1. Fivexturnsxyieldsx50xv.xThereforexKx= =x1.59
5xxx2xxrad
Copyrightx©x 2011xbyxJohnxWileyx&xSons,xInc
.
, 1-2x Chapterx1:x Introduction
2.
Desiredxt Temperaturex Voltagex Actualxte
Fuelxflo
emperature difference difference mperature
w
x
+ x Thermostat Amplifierxandx x
Heater
valves
-
3.
Desiredx Input Errorx Aileronx Rollx Rollxa
roll xvoltag voltage position rate ngle
angle e
+ xxxxxxxxxx
Aileronxp Aircraftxd
x Pilotxcont x x Integrate
ositionxc ynamics
rols
ontrol
-
Gyro
Gyroxvoltage
4.
Inputx
Speedx
Desired voltage Actualx
Errorxv Motorxa
xspeed speed
+ oltage ndxdriv
transducer Amplifier e
system
-
Dancerx
Dancerx
position
Voltagexpr sensor dynamics
oportional
toxactualxspeed
Copyrightx©x 2011xbyxJohnxWileyx&xSons,xInc
.
