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1、FunctionalFractionalCalculusforSystemIdenti?cationandControlsShantanuDasFunctionalFractionalCalculusforSystemIdenti?cationandControlsWith68Figuresand11TablesAuthorShantanuDasScientistReactorControlDivision,BARC,Mumbai–400085shantanu@barc.gov.inLibraryofCongre
2、ssControlNumber:2007934030ISBN978-3-540-72702-6SpringerBerlinHeidelbergNewYorkThisworkissubjecttocopyright.Allrightsarereserved,whetherthewholeorpartofthematerialisconcerned,speci?callytherightsoftranslation,reprinting,reuseofillustrations,recitation,broadcas
3、ting,reproductiononmicro?lmorinanyotherway,andstorageindatabanks.DuplicationofthispublicationorpartsthereofispermittedonlyundertheprovisionsoftheGermanCopyrightLawofSeptember9,1965,initscurrentversion,andpermissionforusemustalwaysbeobtainedfromSpringer.Violat
4、ionsareliableforprosecutionundertheGermanCopyrightLaw.SpringerisapartofSpringerScience+BusinessMediaspringer.comcSpringer-VerlagBerlinHeidelberg2008Theuseofgeneraldescriptivenames,registerednames,trademarks,etc.inthispublicationdoesnotimply,evenintheabsenceo
5、faspeci?cstatement,thatsuchnamesareexemptfromtherelevantprotectivelawsandregulationsandthereforefreeforgeneraluse.Typesetting:IntegraSoftwareServicesPvt.Ltd.,IndiaCoverdesign:ErichKirchner,HeidelbergPrintedonacid-freepaperSPIN:1205326189/3180/Integra543210Thi
6、sworkisdedicatedtomyblindfatherSriSoumendraKumarDas,mymotherPurabi,mywifeNita,mysonSankalan,mysisterShantasree,brother-in-lawHemant,andtomylittlenieceIshitaPrefaceThisworkisinspiredbythoughttohaveanoverallfuel-efTcientnuclearplantcontrolsystem.Ipickedupthetop
7、icin2002whilederivingthereactorcontrollaws,whichaimedatfuelefTciency.Controllingthenuclearreactorclosetoitsnaturalbehaviorbyconceptofexponentshapegovernor,ratiocontrolanduseoflogarithmiclogic,aimsatthefuelefTciency.Thepower-maneuveringtrajectoryisobtainedbysh
8、aped-normalized-periodfunction,andthisdeTnestheroadmaponwhichthereactorshouldbegoverned.TheexperienceofthisconceptgoverningtheAtomicPowerPlantofTarapurAtomicPowerStationgiveslesseroverall