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Aumento di 1 di nell anno 1 8(+#.%09:;%DU%

8(+#.%09:;%JW% 4"H]F())"%')%,"G/).%O5'%.H.GV'%:`JP!!!! Le variabili sono reali a tempo continuo!! I modelli matematici sono costituiti da equazioni differenziali!! I modelli matematici sono stati determinati a partire dalle proprietà fisiche del sistema

8(+#.%09:;%J:% 4F.%V.,/5'(+'.#_%F())"%O5'%.H.GV'%L9Q%P!!!! Le variabili sono reali ma a tempo discreto!! I modelli matematici sono costituiti da equazioni alle differenze!! I modelli matematici sono stati determinati a partire dalle proprietà fisiche del sistema

K'H#.G'%1')(G','%(%#.GV"%,")#')/"!! 8(+#.%09:;%JD%!'.)"*%@(H0,/"..,@(T*+'%$),( H%0%*")0'(-"&(!'.)"*%( 3%0'%4'&"(-X7./')%(U17$W',$"(/,$5$7%(-"&()"*+,V( 3%0'%4'&"(-'(/,$)0,&&,(U17$W',$"(/,$5$7%(-"&()"*+,V( 3%0'%4'&"(-'(-'.)704,(U17$W',$"(/,$5$7%(-"&()"*+,V(

K'H#.G'%1')(G','%(%#.GV"%1'H,+.#"!! 8(+#.%09:;%JJ%!'.)"*%@(H0,/"..,@(T*+'%$),( H%0%*")0'(-"&(!'.)"*%( 3%0'%4'&"(-X7./')%(U."R7"$W%V( 3%0'%4'&"(-'(/,$)0,&&,(U."R7"$W%V( 3%0'%4'&"(-'(-'.)704,(U."R7"$W%V(

8(+#.%09:;%JL% 6VV+",,'"%Z(%H,(#"5(%N'(),([%V.+%5(%,"H#+/3'").%1'% G"1.55'%1')(G','I!! Leggi fisiche, conoscenze a priori, leggi euristiche, statistiche, ecc. Approccio modellistico a scatola trasparente Modelli dinamici (tempo continuo, tempo discreto)

8(+#.%09:;%JQ% 6VV+",,'"%1'**.+.)#.%X1(#(`N(H.1Y%Z(%H,(#"5(%).+([I!! Dati sperimentali, misure fornite da sensori, dati storici, ecc. Approccio modellistico a scatola nera Le variabili d ingresso, di uscita e di disturbo non saranno più rappresentate tramite funzioni continue del tempo ma tramite successioni numeriche i cui elementi sono i dati da utilizzare per determinare il modello dinamico

8(+#.%09:;%JR% 6VV+",,'"%G"1.55'H#',"%(%ZH,(#"5(%).+([% 01.)#'2',(3'").%1'%/)%H'H#.G(%1')(G',"% Dati: Modello a tempo discreto:!! sistema a tempo continuo e dati ottenuti per campionamento di variabili continue!! sistema a tempo discreto e dati ottenuti da variabili inerentemente discrete

8(+#.%09:;%JS% 8+'G"%.H.GV'"% Dati di un impianto da 120 MW per la produzione di energia a Pont-sur-Sambre (Francia) Fonte: De Moor B.L.R. (ed.), DaISy: Database for the Identification of Systems, Department of Electrical Engineering, ESAT/SISTA, K.U.Leuven, Belgium

8(+#.%09:;%JT%

6),"+(%/)%.H.GV'"% 8(+#.%09:;%JU% Un ora di traffico Internet tra il Lawrence Berkeley Laboratory ed il resto del mondo Fonte: De Moor B.L.R. (ed.), DaISy: Database for the Identification of Systems, Department of Electrical Engineering, ESAT/SISTA, K.U.Leuven, Belgium

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8(+#.%09:;%QL% N! 6,*"(+,)0"44"(".."0"(7$(*,-"&&,(%(>./%),&%(4'%$/%?h( =! /%./%)%(-'(k("&"*"$5(u'$(+0'*%(%++0,..'*%w',$"v( N!./%*4',()"0*'/,(%0'%a0".'.),0"Z(7$%(f-<(-"&(JÄ(,0-'$"( N! 0')%0-,(_$'),(U)0%.+,0),(-"&&X%0'%(-%&&X'$#0"..,( %&&X7./')%(-"&()74,Z(-'+"$-"(-%&&%(+,0)%)%(-X%0'%("( -%&&%(A"$),&%(=($,$(/%*4'%(-70%$)"(&X".+"0'*"$),V( N! H0,A%0"(%(-")"0*'$%0"(7$(+,..'4'&"(*,-"&&,(>%(./%),&%( 4'%$/%?(+"0("."0/'W',Å(

8(+#.%09:;%QQ% N! *,-"&&,(>%(./%),&%($"0%?('$(F%)&%4(U9%(!#3$C0#-<67*<'-$8'')5'IV(! load dryer2 % esperimento eseguito su dispositivo Feedback PT326! % riferimento: Ljung, "System Identification: Theory for the User", pag. 525!! z_ident = dati(1:300); % uso i primi 300 dati per identificare un modello! figure;plot(z_ident); % vediamoli!! 64*.- 7.-*.-89,-, '()*(+,-.+, & %"# % #"# # $"# $./0'+)(>".+"0'*"$),G08"0;*?( @)*A:-.>(!"#!& %"# 23-(45, % #"# # $"# $!"#! # /0 /# 10 1# ':)(8;<(=34><? /,$5$7%Y(

8(+#.%09:;%QR%!! model = arx(zid, [2 2 3]);% identifico un modello ARX! % na=2, nb=2, nk=3 (che cosa sono? cfr. Parti 9-12 e 19 del materiale)!!! /,$5$7%Y(

8(+#.%09:;%QS% % valuto il modello sui nuovi dati (applico l'algoritmo del modello sulla! % nuova sequenza u ed ottengo la risposta del modello)! ( #&" ' #!&"!!&" # ()*+,*-.'/01'2,/011, ()*+,*-.'2)*3(.-. #&" '! "! #!! #"! $!! $"! %!!

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