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1、LectureNotesinControlandInformationSciencesEditedbyM.ThomaandA.Wyner88BruceA.FrancisACourseinHooControlTheorySpringer-VerlagBerlinHeidelbergNewYorkLondonParisTokyoSeriesEditorsM.ThomaA.WynerAdvisoryBoardL.D.DavissonA.G.J.MacFarlaneH.KwakernaakJ.L.MasseyYaZ.TsypkinA.J.ViterbiAuth
2、orProf.BruceA.FrancisDept.ofElectricalEngineeringUniversityofTorontoToronto,OntarioCanadaM5S1A4Corrected1stprinting1987ISBN3-540-17069-3Springer-VerlagBerlinHeidelbergNewYorkISBN0-387-17069-3Springer-VerlagNewYorkBerlinHeidelbergThisworkissubjecttocopyright.Allrightsarereserved,
3、whetherthewholeorpartofthematerialisconcerned,specificallythoseoftranslation,reprinting,re-useofillustrations,broadcasting,reproductionbyphotocopyingmachineorsimilarmeans,andstorageindatabanks.Under§54oftheGermanCopyrightLawwherecopiesaremadeforotherthanprivateuse,afeeispayablet
4、o"VerwertungsgesellschaftWort",Munich.©Springer-VerlagBerlin,Heidelberg1987PrintedinGermanyOffsetprinting:Mercedes-Druck,BerlinBinding:B.Helm,Berlin2161/3020-543210TomyparentsPREFACEMyaiminthisbookistogiveanelementarytreatmentoflinearcontroltheorywithanH.~optimalitycriterion.The
5、systemsarealllinear,time-invariant,andfinite-dimensionalm~dtheyoperateincontinuoustime.Thebookhasbeenusedinaone-semestergraduatecourse,withonlyafewprerequisites:classicalcontroltheory,linearsystems(state-spaceandinput-outputviewpoints),andabitofrealandcomplexanalysis.Onlyoneprob
6、lemissolvedinthisbook:howtodesignacontrollerwhichminim-izestheH~-normofapre-designatedclosed-looptransfermatrix.TheH~-normofatransfermatrixisthemaximumoverallfrequenciesofitslargestsingularvalue.InthisprobIemtheplantisfixedandknown,althoughacertainrobuststabilizationproblemcanbe
7、recastinthisform.Thegeneralrobustperformanceproblem-howtodesignacon-trollerwhichisH~-optimalfortheworstplantinapre-specifiedset-isasyetunsolved.ThebookfocusesonthemathematicsofH~,control.Generallyspeaking,thetheoryisdevelopedintheinput-output(operator)framework,whilecomputationa
8、lpro-ceduresarepresentedinthestate-spaceframewo