简介:ThemixedH2/H∞guaranteedcostcontrolproblemviastatefeedbackcontrollawsisconsideredinthispaperforlinearsystemswithnorm-boundedparameteruncertainty.Basedonthelinearmatrixinequality(LMI)approach,sufficientconditionsarederivedfortheexistenceofguaranteedcostcontrollerswhihcguaranteenotonlyaprespecifiedH∞disturbanceattenuationlevelononecontrolledoutputforalladmissibleparameteruncertainties,butalsotheworst-caseH2performanceindexontheothercontrolledoutputtobenomorethanaspecifiedbound.Furthermore,aconvexoptimizationproblemisformulatedtodesignanoptimalH2/H∞guaranteedcostcontroller.
简介:ForaclassofSISOnonlinearcontrolsystemswithparameteruncertaintyanalmostdisturbancedecouplingproblemwithstabilityisdefinedandinvestigated.Backsteppingtechniqueprovidesapractcaldesignmethodofcontroller,underwhichtheL2gainfromthedisturbancetothecontrolledoutputcanbearbitrarilysmallsubjecttononlinearuncertaintiesandtheclose-loopsystemisinternallyasymptoticallystable.
简介:Fivekindsofconesareintroduced,whichareusedtoestablishtheconstraintsqualifications,underwhichthegeneralizedKuhn-Tuckernecessaryconditionsaredevelopedforaclassofgeneralized(h,φ)-differentiablesingle-objectiveandmultiobjectiveprogrammingproblemsbyusingMotzkin'salternativetheoremandBen-Talgeneralizedalgebraicoperations.
简介:ThispaperdealswithH∞controlofa5th-ordermodelofsynchronousgenerators.First,byusingthemethodofexactlinearization,wetransformthe5th-ordermodelintoalinearone.Thenweassignthepoleofthelinearizedmodelintheopenlefthalfplane.Finally,weapplythedesignmethodoflinearH∞controltogetastatefeedbackcontroller.