›› 2012, Vol. 32 ›› Issue (6): 1-7.doi: 10.3780/j.issn.1000-758X.2012.06.001

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ModelReducedMethodviaReverseProjectionfromBalancedSpacetoModalSpace

 CAO  Li, ZHOU  Zhi-Cheng, QU  Guang-Ji   

  1. (ChinaAcademyofSpaceTechnology,Beijing100086)
  • Received:2012-05-08 Revised:2012-07-04 Online:2012-12-25 Published:2012-12-25

Abstract: Duetotheindistinctphysicalmeaningsforinternalbalancingreductionandthedifficultyinextractingbalancecoordinatesfromsensorreadings,amodelreducedmethodfrombalancedspacetomodalspacewaspresentedviareverseprojectionbasedonthedynamicsmodelofflexiblespacecraft.Accordingtotheinvarianceofthetransferfunctionandtheeigenvaluesforstatespacetransformation,theeigenfrequencieswereobtainedbythezero-poletransferfunctionofbalancedreducedmodel.Thecorrespondingrelationshipbetweenthebalancedstatesandmodalcoordinateswasgivenandthereverseprojectionmatrixwasconstructed.Thefrequencyresponseandcontrollabilityandobservabilityanalysisshowsthatthestatesofreducedmodelinmodalsubspaceandthestatesoforiginalmodelarematched.Thereducedmodelwithdefinitephysicalmeaningisapplicabletosubsequentstructuralcontroldesign.

Key words: Internalbalancingreduction, Modalsubspace, Reverseprojectionmatrix, Zeropoletransferfunction, Controllabilityandobservability, Flexiblespacecraft