Biomedical Engineering - Bioengineering of Physiological Control Systems

System Identificaton Closed Loop

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CLOSEDLOOPIDENTIFICATIONwithDIRECTAPPROACH IDENTIFICATIONofCLOSEDCOOPSYSTEMSwithSIGNALSfrom/Ns/DEtheloop"DEM'""GtheFEEDFORWARDBRANCHandtheFEEDBACKBRANCHseparate,(withOPENLOOPIDENTIFICATIONTECHNIQUESIGNORINGtheotherBRANCH)MEASURESofYaandYaTA K I N GMOCONSIDERATIONBOTHCAUSARELATIONSHIPS e' ,Gaz= ÈGas=howYaisaffectedbyYahowYaisaffectedbyY,pertnrbedbyifpertnrbedbyvaSTOCHASTICvs DETERMINISTICHE assumebothYaandYaasperturbatebyaSTOCHASTICSIGNALVa,Va>DETERMINISTICPART:theDETERMINI511CCausalerelationshipsbethlemYaeya(Gaz&Gas)theMIaimistoIdentitysSTOCHASTICPART:howthesystemmodulatesCompletelyrandomINPVISEs,Ez~VVN,renderingthestomaSticperturbationsVa,V2(H1,Ha)•Es,EzhastobeWN(o,E)COLOUREDNOISES/\UNCORRELATED:Vatua•va,J,arenotWN→Va=HaEsandV2=HaEz,butareASSUMEDTOBENON-MEASURABLESiftheIDEIVIIFIEDMODELgivesRESIDUALSwithaBlas(