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JOURNALOFTHEFRANKLININSTITUTE3382001781–809ENHANCEDROBUSTSTABILITYANALYSISOFLARGEHYDRAULICCONTROLSYSTEMSVIAABIFURCATIONBASEDPROCEDUREGREGORYGKREMERDEPARTMENTOFMECHANICALENGINEERING,OHIOUNIVERSITY,254STOCKERCENTER,ATHENS,OH457012979,USARECEIVED14AUGUST2001ABSTRACTBECAUSEOFTHEIRSIZEANDCOMPLEXITY,THEINITIALDESIGNOFMANYHYDRAULICSYSTEMSISBASEDPRIMARILYONSTEADYSTATEMODELSNONLINEARSYSTEMDYNAMICCHARACTERISTICSARENORMALLYCHECKEDBYSIMULATIONAND/ORPROTOTYPETESTINGOFTHEfiNALDESIGNCONfiGURATION,BUTEVENATTHISSTAGEONLYTHENOMINALSYSTEMDESIGNANDALIMITEDNUMBEROFOTHERPOSSIBLESYSTEMSCANBEANALYZEDDUETOTHEEXCESSIVECOSTOFEACHSYSTEMANALYSISEXHAUSTIVEPARAMETRICSTUDIESTHATVERIFYTHEPERFORMANCEANDSTABILITYOFALLPOSSIBLESYSTEMSAREGENERALLYNOTPRACTICALTHEDEfiCIENCYASSOCIATEDWITHTHISANALYSISLIMITATIONISTHATHYDRAULICCONTROLSYSTEMSTHATAREPREDICTEDTOBESTABLESOMETIMESEXHIBITNONLINEARPRESSUREOSCILLATIONSOFUNACCEPTABLYLARGEMAGNITUDETHISPAPERDOCUMENTSTHEDEVELOPMENTANDDEMONSTRATIONOFABIFURCATIONBASEDANALYSISPROCEDURETHATFOCUSES