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广义快子系统的H∞最优模型降阶

, PP. 638-641

Keywords: Singularsystem,modelreduction,Silverman-Hoalgorithm,H∞norm,transferfunction

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Abstract:

?Inthispaper,H∞optimalmodelreductionforsingularfastsubsystemswillbeinvestigated.First,errorsystemisestablishedtomeasuretheerrormagnitudebetweentheoriginalandreducedsystems,anditisdemonstratedthatthenewfeatureformodelreductionofsingularsystemsistomakeH_normoftheerrorsystemfiniteandminimal.ThenecessaryandsufficientconditionisderivedfortheexistenceoftheH∞suboptimalmodelreductionproblem.Next,wegiveanexactandpracticablealgorithmtogettheparametersofthereducedsubsystemsbyapplyingthematrixtheory.Meanwhile,thereducedsystemmaybealsoimpulsive.Theadvantagesoftheproposedalgorithmarethatitismoreflexibleinastraight-forwardwaywithoutmuchextracomputation,andtheorderofthereducedsystemsisasminimalaspossible.Finally,oneillustrativeexampleisgiventoillustratetheeffectivenessoftheproposedmodelreductionapproach.

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