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自动化学报 2005
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 Abstract: ?Inthispaper,H∞optimalmodelreductionforsingularfastsubsystemswillbeinvestigated.First,errorsystemisestablishedtomeasuretheerrormagnitudebetweentheoriginalandreducedsystems,anditisdemonstratedthatthenewfeatureformodelreductionofsingularsystemsistomakeH_normoftheerrorsystemfiniteandminimal.ThenecessaryandsufficientconditionisderivedfortheexistenceoftheH∞suboptimalmodelreductionproblem.Next,wegiveanexactandpracticablealgorithmtogettheparametersofthereducedsubsystemsbyapplyingthematrixtheory.Meanwhile,thereducedsystemmaybealsoimpulsive.Theadvantagesoftheproposedalgorithmarethatitismoreflexibleinastraight-forwardwaywithoutmuchextracomputation,andtheorderofthereducedsystemsisasminimalaspossible.Finally,oneillustrativeexampleisgiventoillustratetheeffectivenessoftheproposedmodelreductionapproach.
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