SOLUTION
MANUAL
Apago PDF Enhancer
b b
, 1-17 Solutions to Problems
Student companion website
Foundedbinb1807,bJohnbWileyb&bSons,bInc.bhasbbeenbabvaluedbsourcebofbknowledgebandbunderstandin
gbforbmorebthanb200byears,bhelpingbpeoplebaroundbthebworldbmeetbtheirbneedsbandbfulfillbtheirbaspirat
ions.bOurbcompanybisbbuiltbonbabfoundationbofbprinciplesbthatbincludebresponsibilitybtobthebcommuniti
esbwebservebandbwherebweblivebandbwork.bInb2008,bweblaunchedbabCorporatebCitizenshipbInitiative,bab
globalbeffortbtobaddressbthebenvironmental,bsocial,beconomic,bandbethicalbchallengesbwebfacebinbourbb
usiness.bAmongbthebissuesbwebarebaddressingbarebcarbonbimpact,bpaperbspecificationsbandbprocuremen
t,bethicalbconductbwithinbourbbusinessbandbamongbourbvendors,bandbcommunitybandbcharitablebsuppo
rt.bForbmorebinformation,bpleasebvisitbourbwebsite:b www.wiley.com/go/citizenship.
Copyrightb©b 2011bbybJohnbWileyb&bSons,bInc.
Nobpartbofbthisbpublicationbmaybbebreproduced,bstoredbinbabretrievalbsystemborbtransmittedbinbanybfor
mborbbybanybmeans,belectronic,bmechanical,bphotocopyingbrecording,bscanningborbotherwise,bexceptba
sbpermittedbunderbSectionsb107borb108bofbtheb1976bUnitedbStatesbCopyrightbAct,bwithoutbeitherbthebp
riorbwrittenbpermissionbofbthebPublisherborbauthorizationbthroughbpaymentbofbthebappropriatebper-
bcopybfeebtobthebCopyrightbClearancebCenter,b222bRosewoodbDrive,bDanvers,bMAb01923,b(978)b750-
b8400,bfaxb(978)b646-
8600.bRequestsbtobthebPublisherbforbpermissionbshouldbbebaddressedbtobthebPermissionsbDepartment,bJ
ohnbWileyb&bSons,bInc.,b111bRiverbStreet,bHoboken,bNJb07030-5774,b(201)b748-
6011,bfaxb(201)b748-6008borbonlinebatbhttp://www.wiley.com/go/permissions.
Evaluationbcopiesbarebprovidedbtobqualifiedbacademicsbandbprofessionalsbforbreviewbpurposesbonly,bfo
rbusebinbtheirbcoursesbduringbthebnextbacademicbyear.bThesebcopiesbareblicensedbandbmaybnotbbebsoldbo
rbtransferredbtobabthirdbparty.bUponbcompletionbofbthebreviewbperiod,bpleasebreturnbthebevaluationbcop
ybtobWiley.bReturnbinstructionsbandbabfreebofbchargebreturnbshippingblabelbarebavailablebatbwww.wiley
.com/go/returnlabel.bOutsidebofbthebUnitedbStates,bpleasebcontactbyourblocalbrepresentative
ISBNb13 978-0470-54756-4
Copyright © 2011 by John Wiley & Sons, Inc.
, O NEb bb
Introduction
ANSWERS TO REVIEW QUESTIONS
b b b
1. Guidedbmissiles,bautomaticbgainbcontrolbinbradiobreceivers,bsatellitebtrackingbantenna
2. Yesb-bpowerbgain,bremotebcontrol,bparameterbconversion;bNob-bExpense,bcomplexity
3. Motor,blowbpassbfilter,binertiabsupportedbbetweenbtwobbearings
4. Closed-
loopbsystemsbcompensatebforbdisturbancesbbybmeasuringbthebresponse,bcomparingbitbtobthebinputbr
esponseb(thebdesiredboutput),bandbthenbcorrectingbtheboutputbresponse.
5. Underbthebconditionbthatbthebfeedbackbelementbisbotherbthanbunity
6. Actuatingbsignal
7. Multiplebsubsystemsbcanbtimebsharebthebcontroller.bAnybadjustmentsbtobthebcontrollerbcanbbeb
implementedbwithbsimplybsoftwarebchanges.
8. Stability,btransientbresponse,bandbsteady-stateberror
9. Steady-state,btransient
10. Itbfollowsbabgrowingbtransientbresponsebuntilbthebsteady-
statebresponsebisbnoblongerbvisible.bThebsystembwillbeitherbdestroybitself,breachbanbequilibriumbstateb
becausebofbsaturationbinbdrivingbamplifiers,borbhitblimitbstops.
11. Naturalbresponse
12. Determinebthebtransientbresponsebperformancebofbthebsystem.
13. Determinebsystembparametersbtobmeetbthebtransientbresponsebspecificationsbforbthebsystem.
14. True
15. Transferbfunction,bstate-space,bdifferentialbequations
16. Transferbfunctionb-bthebLaplacebtransformbofbthebdifferentialbequation
State-spaceb-brepresentationbofbanbnthborderbdifferentialbequationbasbnbsimultaneousbfirst-
orderbdifferentialbequations
Differentialbequationb-bModelingbabsystembwithbitsbdifferentialbequation
SOLUTIONS TO PROBLEMS b b
50bvolts
1. Fivebturnsbyieldsb50bv.bThereforebKb= =b1.59
5bxb2bbrad
Copyright © 2011 by John Wiley & Sons, Inc.
, 1-2b Chapterb1:b Introduction
2.
Desiredbt Temperatureb Voltageb Actualbte
Fuelbflo
emperature difference difference mperature
w
b
+ Thermostat Amplifier and
Heater
valves
-
3.
Desiredb Input Errorb Aileronb Rollb Rollba
roll bvoltag voltage position rate ngle
angle e
+ bbbbbbbbbb
Aileronb Aircraftbd
b Pilot b b Integrate
positionb ynamics
controls
control
-
Gyro
Gyrobvoltage
4.
Inputb
Speed
Desired voltage Actualb
Errorbv
b Motor
bspeed speed
+ oltage and
transducer Amplifier drive
system
-
Dancer
Dancer
position
Voltagebpr sensor dynamics
oportional
tobactualbspeed
Copyright © 2011 by John Wiley & Sons, Inc.
MANUAL
Apago PDF Enhancer
b b
, 1-17 Solutions to Problems
Student companion website
Foundedbinb1807,bJohnbWileyb&bSons,bInc.bhasbbeenbabvaluedbsourcebofbknowledgebandbunderstandin
gbforbmorebthanb200byears,bhelpingbpeoplebaroundbthebworldbmeetbtheirbneedsbandbfulfillbtheirbaspirat
ions.bOurbcompanybisbbuiltbonbabfoundationbofbprinciplesbthatbincludebresponsibilitybtobthebcommuniti
esbwebservebandbwherebweblivebandbwork.bInb2008,bweblaunchedbabCorporatebCitizenshipbInitiative,bab
globalbeffortbtobaddressbthebenvironmental,bsocial,beconomic,bandbethicalbchallengesbwebfacebinbourbb
usiness.bAmongbthebissuesbwebarebaddressingbarebcarbonbimpact,bpaperbspecificationsbandbprocuremen
t,bethicalbconductbwithinbourbbusinessbandbamongbourbvendors,bandbcommunitybandbcharitablebsuppo
rt.bForbmorebinformation,bpleasebvisitbourbwebsite:b www.wiley.com/go/citizenship.
Copyrightb©b 2011bbybJohnbWileyb&bSons,bInc.
Nobpartbofbthisbpublicationbmaybbebreproduced,bstoredbinbabretrievalbsystemborbtransmittedbinbanybfor
mborbbybanybmeans,belectronic,bmechanical,bphotocopyingbrecording,bscanningborbotherwise,bexceptba
sbpermittedbunderbSectionsb107borb108bofbtheb1976bUnitedbStatesbCopyrightbAct,bwithoutbeitherbthebp
riorbwrittenbpermissionbofbthebPublisherborbauthorizationbthroughbpaymentbofbthebappropriatebper-
bcopybfeebtobthebCopyrightbClearancebCenter,b222bRosewoodbDrive,bDanvers,bMAb01923,b(978)b750-
b8400,bfaxb(978)b646-
8600.bRequestsbtobthebPublisherbforbpermissionbshouldbbebaddressedbtobthebPermissionsbDepartment,bJ
ohnbWileyb&bSons,bInc.,b111bRiverbStreet,bHoboken,bNJb07030-5774,b(201)b748-
6011,bfaxb(201)b748-6008borbonlinebatbhttp://www.wiley.com/go/permissions.
Evaluationbcopiesbarebprovidedbtobqualifiedbacademicsbandbprofessionalsbforbreviewbpurposesbonly,bfo
rbusebinbtheirbcoursesbduringbthebnextbacademicbyear.bThesebcopiesbareblicensedbandbmaybnotbbebsoldbo
rbtransferredbtobabthirdbparty.bUponbcompletionbofbthebreviewbperiod,bpleasebreturnbthebevaluationbcop
ybtobWiley.bReturnbinstructionsbandbabfreebofbchargebreturnbshippingblabelbarebavailablebatbwww.wiley
.com/go/returnlabel.bOutsidebofbthebUnitedbStates,bpleasebcontactbyourblocalbrepresentative
ISBNb13 978-0470-54756-4
Copyright © 2011 by John Wiley & Sons, Inc.
, O NEb bb
Introduction
ANSWERS TO REVIEW QUESTIONS
b b b
1. Guidedbmissiles,bautomaticbgainbcontrolbinbradiobreceivers,bsatellitebtrackingbantenna
2. Yesb-bpowerbgain,bremotebcontrol,bparameterbconversion;bNob-bExpense,bcomplexity
3. Motor,blowbpassbfilter,binertiabsupportedbbetweenbtwobbearings
4. Closed-
loopbsystemsbcompensatebforbdisturbancesbbybmeasuringbthebresponse,bcomparingbitbtobthebinputbr
esponseb(thebdesiredboutput),bandbthenbcorrectingbtheboutputbresponse.
5. Underbthebconditionbthatbthebfeedbackbelementbisbotherbthanbunity
6. Actuatingbsignal
7. Multiplebsubsystemsbcanbtimebsharebthebcontroller.bAnybadjustmentsbtobthebcontrollerbcanbbeb
implementedbwithbsimplybsoftwarebchanges.
8. Stability,btransientbresponse,bandbsteady-stateberror
9. Steady-state,btransient
10. Itbfollowsbabgrowingbtransientbresponsebuntilbthebsteady-
statebresponsebisbnoblongerbvisible.bThebsystembwillbeitherbdestroybitself,breachbanbequilibriumbstateb
becausebofbsaturationbinbdrivingbamplifiers,borbhitblimitbstops.
11. Naturalbresponse
12. Determinebthebtransientbresponsebperformancebofbthebsystem.
13. Determinebsystembparametersbtobmeetbthebtransientbresponsebspecificationsbforbthebsystem.
14. True
15. Transferbfunction,bstate-space,bdifferentialbequations
16. Transferbfunctionb-bthebLaplacebtransformbofbthebdifferentialbequation
State-spaceb-brepresentationbofbanbnthborderbdifferentialbequationbasbnbsimultaneousbfirst-
orderbdifferentialbequations
Differentialbequationb-bModelingbabsystembwithbitsbdifferentialbequation
SOLUTIONS TO PROBLEMS b b
50bvolts
1. Fivebturnsbyieldsb50bv.bThereforebKb= =b1.59
5bxb2bbrad
Copyright © 2011 by John Wiley & Sons, Inc.
, 1-2b Chapterb1:b Introduction
2.
Desiredbt Temperatureb Voltageb Actualbte
Fuelbflo
emperature difference difference mperature
w
b
+ Thermostat Amplifier and
Heater
valves
-
3.
Desiredb Input Errorb Aileronb Rollb Rollba
roll bvoltag voltage position rate ngle
angle e
+ bbbbbbbbbb
Aileronb Aircraftbd
b Pilot b b Integrate
positionb ynamics
controls
control
-
Gyro
Gyrobvoltage
4.
Inputb
Speed
Desired voltage Actualb
Errorbv
b Motor
bspeed speed
+ oltage and
transducer Amplifier drive
system
-
Dancer
Dancer
position
Voltagebpr sensor dynamics
oportional
tobactualbspeed
Copyright © 2011 by John Wiley & Sons, Inc.
