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自动化学报 2005
线性连续时变系统的状态和输入混合估计:一种对策方法, PP. 549-554 Keywords: Time-varyingsystem,inputestimation,gametheory,Riccatiequation Abstract: ？The$H_\infty$hybridestimationproblemforlinearcontinuoustime-varyingsystemsisinvestigatedinthispaper,whereestimatedsignalsarelinearcombinationofstateandinput.Designobjectiverequirestheworst-caseenergygainfromdisturbancetoestimationerrorbelessthanaprescribedlevel.Optimalsolutionofthehybridestimationproblemisthesaddlepointofatwo-playerzerosumdifferentialgame.Basedonthedifferentialgameapproach,necessaryandsufficientsolvableconditionsforthehybridestimationproblemareprovidedin\hfillterms\hfillof\hfillsolutions\hfillto\hfilla\hfillRiccati\hfilldiffe-\\rentialequation.Moreover,onepossibleestimatorisproposedifthesolvableconditionsaresatisfied.Theestimatorischaracterizedbyagainmatrixandanoutputmappingmatrixthatreflectstheinternalrelationsbetweentheunknowninputandoutputestimationerror.Bothstateandunknowninputsestimationarerealizedbytheproposedestimator.Thus,theresultsinthispaperarealsocapableofdealingwithfaultdiagnosisproblemsoflineartime-varyingsystems.Atlast,anumericalexampleisprovidedtoillustratetheproposedapproach.
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