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1、Automatica36(2000)1401}1425SurveyPaperqResearchongainschedulingWilsonJ.Rugh!,*,Je!S.Shamma"!DepartmentofElectricalandComputerEngineering,JohnsHopkinsUniversity,Baltimore,MD21218,USA"DepartmentofMechanicalandAerospaceEngineering,UCLA,LosAngeles,CA90095,USAReceived20April1998;receivedinrevisedform
2、6December1999Currentresearchongainschedulingisclarifyingcustomarypracticesaswellasdevisingnewapproachesandmethodsforthedesignofnonlinearcontrolsystems.AbstractGainschedulingfornonlinearcontrollerdesignisdescribedintermsofgeneralfeaturesoftheapproachandintermsofearlyexamplesofapplicationsin#ightc
3、ontrolandautomotiveenginecontrol.Thenrecentresearchisdiscussed,emphasizingworkonlinearization-basedschedulingandworkonlinearparameter-varyingapproaches.(2000ElsevierScienceLtd.Allrightsreserved.Keywords:Gainscheduling;Linearparameter-varyingsystems;Nonlinearcontrolsystems1.Introductiontionspaper
4、s.Examplesinthe1970sincludeKaKllstroKm,AsstroKm,Thorell,ErikssonandSten(1979)andStein,Afterdecadesofsilenceonthesubject,theacademicHartmannandHendrick(1977).Andsomepapersfromresearchcommunityinthe1990saddressedthetopicofthe1980sonthesubjectoffeedbacklinearizationcom-gainschedulingwithrapidlyincr
5、easinginterest.Thereis,mentonan`automaticgainschedulingainterpretation.ofcourse,alonghistoryofgainschedulinginapplica-Thisappears,forexample,inthechapterongainsched-tions,anaspectweaddressbrie#yinthesequel.Buttheulinginthe"rsteditionofAsstroKmandWittenmarkhistoricallymindedreaderwilldiscoverfewc
6、itationsto(1995).However,thefactremainsthattheoreticaltreat-thecontrolresearchliteraturebefore1990inourdis-mentsofgainschedulingasaworthydesignmethodo-cussion.Indeed,gainschedulinghasneverbeenincludedlogyfornonlinearcontrolarerareuntilthe1990s(Rugh,asasubjectheadingintheindexesoftheIEEETransac-1
7、991;Shamma&Athans,1990).tionsonAutomaticControl.`GaincontroladoesappearinJournalsinvariousapplicationsareashavemorefre-the25thAnniversaryIndex(1956}1981),publishedinquentlycontainedpapersinvolvingthedesignofgain1981,thoughon
