$EVWUDFW 7KH UHDO SURFHVVHV HQFRXQWHUHG LQ LQGXVWU\ KDYH
QRQOLQHDU EHKDYLRU )RU WKH VDNH RI VLPSOLFLW\ JHQHUDOO\ D OLQHDU
PRGHO DURXQG WKH RSHUDWLRQ SRLQW LV GHYHORSHG LQ WKH FRQWUROOHU
GHVLJQ SURFHGXUH DQG WKHQ WKH OLQHDU FRQWUROOHU LV DSSOLHG WR WKH
UHDO SURFHVV ,Q WKLV SDSHU DQ 103& FRQWUROOHU LV GHVLJQHG IRU D
'&$& FRQYHUWHU LQ VWDWH VSDFH )LUVW DQ 03& FRQWUROOHU LV
GHVLJQHG EDVHG RQ D OLQHDUL]HG VWDWH VSDFH PRGHO RI WKH FRQYHUWHU
7KHQ XVLQJ 0RGDO 6HULHV WKH OLQHDU FRQWUROOHU LV PRGLILHG VXFK
WKDW WKH HIIHFWV RI QRQOLQHDU G\QDPLFV ZKLFK DUH QRW FRQVLGHUHG
LQ WKH OLQHDU PRGHO DUH FRPSHQVDWHG )LQDOO\ WKH SURSRVHG
PHWKRG LV FRPSDUHG ZLWK WKH ('0& DSSURDFK 5HVXOWV VKRZ WKDW
ZKLOH WKH SURSRVHG PHWKRG LV FRPSDUDEOH ZLWK WKH ('0& LQ WKH
VHQVH RI V\VWHP SHUIRUPDQFH LWV OHVV FRPSXWDWLRQDO FDSDFLW\
PDNHV LW D PRUH DWWUDFWLYH RSWLRQ IRU IDVW SURFHVVHV
.H\ZRUGV '&$& FRQYHUWHUV ('0& FRQWUROOHU 0RGDO VHULHV
1RQOLQHDU FRQWUROOHU
, ,1752'8&7,21
%HFDXVH RI KLJK SHUIRUPDQFH DQG WKHLU VLPSOLFLW\
FRQWUROOHUV EDVHG RQ SUHGLFWLYH PRGHOV DEEUHYLDWHG DV 03&
DUH ZLGHO\ XVHG LQ GLIIHUHQW LQGXVWULHV >@ $ SUHGLFWLYH
PRGHO SURYLGHV DQ HVWLPDWLRQ RI WKH V\VWHPカV UHVSRQVHV LQ D
SUHGLFWLRQ KRUL]RQ ,QGHHG LW VKRXOG EH DEOH WR SUHGLFW WKH
VDPSOHV RI IRUWKFRPLQJ UHVSRQVHV ZKLOH KDYLQJ DFFHVV WR
WKH SUHVHQW V\VWHP VWDWHV ,Q RWKHU ZRUG LW VKRXOG EH DEOH WR
HVWLPDWH ݕොሺ ݐ ȁݐሻ $IWHU WKH SUHGLFWLYH PRGHO ZDV
GHYHORSHG D SURSHU FRVW IXQFWLRQ LV UHTXLUHG VXFK WKDW LWV
PLQLPL]DWLRQ UHVXOWV LQ ILQGLQJ RXW WKH RSWLPDO FRQWURO UXOH
7KH FRVW IXQFWLRQ VKRXOG EH GHVLJQHG WR PLQLPL]H ERWK WKH
FRQWURO HIIRUW DQG WUDFNLQJ HUURU $OVR LW LV GHVLUDEOH WKDW LWV
PLQLPL]DWLRQ UHVXOWV LQ DQ H[SOLFLW FRQWURO UXOH ([SOLFLW
UXOHV QRW RQO\ DOOHYLDWH FDOFXODWLRQ EXUGHQ EXW DOVR SURYLGH
YDOXDEOH LQIRUPDWLRQ DERXW WKH HIIHFWLYH SDUDPHWHUV RQ WKH
SHUIRUPDQFH RI WKH V\VWHP
7KH UHDO ZRUOG V\VWHPV KDYH QRQOLQHDU EHKDYLRU
+RZHYHU LQ PDQ\ FDVHV WKHLU EHKDYLRU FDQ EH
DSSUR[LPDWHG E\ PHDQV RI D OLQHDU PRGHO DURXQG WKHLU
RSHUDWLRQ SRLQW $V WKHUH DUH QR OLPLWDWLRQ RQ H[HUWLQJ
GLIIHUHQW SUHGLFWLYH PRGHOV PRGHO SUHGLFWLYH FRQWURO 03&
FDQ EH DSSOLHG RQ ERWK OLQHDU DQG QRQOLQHDU PRGHOV
1XPHULFDO LWHUDWLYH PHWKRGV XVXDOO\ DUH XVHG WR VROYH
QRQOLQHDU RSWLPL]DWLRQV UHVXOWHG IURP QRQOLQHDU PRGHOV
7KHVH PHWKRGV FDQW SURYLGH FORVHG IRUP H[SOLFLW VROXWLRQV
,W LQFUHDVHV WKH UHTXLUHG FDOFXODWLRQ FDSDELOLWLHV HQRUPRXVO\
)XUWKHUPRUH WKH GHVLJQHU KDV QR LQVLJKW DERXW WKH
SDUDPHWHUV ZKLFK DUH PRUH HIIHFWLYH LQ WKH UHVSRQVH $V D
UHVXOW LQ PDQ\ FDVHV ZKHQ D SURFHVV FDQ EH DSSUR[LPDWHG
E\ XVLQJ D OLQHDU PRGHO DURXQG WKH RSHUDWLRQ SRLQW WKH
FRQWUROOHU LV GHVLJQHG EDVHG RQ WKH OLQHDU PRGHO DQG WKHQ LW
LV DSSOLHG WR WKH SURFHVV 8QIRUWXQDWHO\ E\ PRYLQJ DZD\
IURP WKH RSHUDWLRQ SRLQW WKH DFFXUDF\ RI WKH OLQHDU
DSSUR[LPDWLRQ GHFUHDVHV DQG QRQOLQHDU G\QDPLFV ZKLFK DUH
QRW LQFOXGHG LQ WKH OLQHDU PRGHO UHVXOWV LQ WKH GHFUHDVLQJ RI
WKH FRQWUROOHUカV HIILFLHQF\ 7R LQFOXGH WKH QRQOLQHDU G\QDPLF
HIIHFWV GLIIHUHQW PHWKRGV KDYH EHHQ SURSRVHG VRPH RI
WKHP DUH FLWHG LQ WKH IROORZLQJ
7KH H[WHQGHG G\QDPLF PDWUL[ FRQWURO ('0& LV D
JHQHUDOL]HG IRUP RI G\QDPLF PDWUL[ FRQWURO '0& ZKLFK
FDQ EH XVHG WR FRQWURO QRQOLQHDU SURFHVV ,Q WKLV DSSURDFK D
QRQOLQHDU PRGHO RI WKH SODQW LV VXSSRVHG WR EH DYDLODEOH
+RZHYHU WR GHWHUPLQH WKH FRQWURO LQSXWV DQ LQVWDQWDQHRXV
OLQHDU PRGHO RI WKH SURFHVV LV DSSOLHG ZKLFK LV XSGDWHG DQG
VDPSOHG LQ VDPSOLQJ LQWHUYDOV &RPSDUHG ZLWK RUGLQDU\
'0& ('0& UHTXLUHV DGGLWLRQDO FDOFXODWLRQV $QRWKHU
LVVXH ZKLFK VKRXOG EH WDFNOHG LQ ('0& LV WKH PLQLPL]DWLRQ
RI GLIIHUHQFH EHWZHHQ WKH LQVWDQWDQHRXV OLQHDU PRGHO DQG WKH
H[DFW QRQOLQHDU PRGHO 7R VROYH WKLV RSWLPL]DWLRQ SUREOHP
LWHUDWLYH PHWKRGV VKRXOG EH DSSOLHG ZKLFK WLPH DUH
FRQVXPLQJ ,Q JHQHUDO ('0& KDV OHVV FRPSOH[LW\
FRPSDUHG ZLWK QRQOLQHDU 03& DV FDOFXODWLRQ UHTXLUHPHQWV
DUH QRWLFHDEO\ UHGXFHG >@
7KH ('0& V\VWHP KDV SURYHG WR EH PRUH SURSHU IRU
SURFHVVHV ZKRVH VWHDG\ VWDWH JDLQ LV VLQJOH VLQJ DQG FKDQJHV
VORZO\ 2WKHUZLVH WKH DSSOLHG PHWKRG LQ UHLWHUDWLYH
DOJRULWKP ZLOO OHDG WR DQ XQDFFHSWDEOH UHVXOW 0RUHRYHU
('0& OLNH '0& PHWKRG LV DSSOLFDEOH RQO\ WR SURFHVVHV
ZKLFK DUH RSHQ ORRS VWDEOH
$QRWKHU JURXS RI PHWKRGV FDQ EH FODVVLILHG DV UREXVW
03& PHWKRGV 7R GHVLJQ D UREXVW 03& FRQWUROOHU WKH
QRQOLQHDU PRGHO LV ILUVW WUDQVIRUPHG WR D GLVFUHWH WLPH RQH
DQG WKHQ LV GLYLGHG WR OLQHDU DQG QRQOLQHDU SDUWV 7KH
QRQOLQHDU SDUW LV WKHQ GHDOW DV D PRGHO XQFHUWDLQW\ $V DQ
H[DPSOH LQ >@ WKH DXWKRUV UHSODFH WKH QRQOLQHDU WHUPV ZLWK
D GRPLQDQW /LSVFKLW] WHUP DV
Ǥ 7KHQ WKH UHTXLUHG
FRQGLWLRQV IRU D VWDELOL]LQJ VWDWH IHHGEDFN JDLQ DUH SUHVHQWHG
DV OLQHDU PDWUL[ LQHTXDOLW\ /0, +RZHYHU WKHVH PHWKRGV
DUH VR FRQVHUYDWLYH EHFDXVH WKH\ DUH GHVLJQHG EDVHG RQ WKH
ZRUVW FDVH FRQGLWLRQV
,Q WKLV SDSHU D QHZ PHWKRG EDVHG RQ 0RGDO 6HULHV LV
VXJJHVWHG WR PDNH XS IRU WKH HIIHFWV RI QRQOLQHDU G\QDPLFV
ZKLFK DUH QRW FRQVLGHUHG LQ OLQHDU PRGHO 0RGDO VHULHV LV D
QHZ DSSURDFK WR DQDO\]H QRQOLQHDU V\VWHPV LQ VSDFH VWDWH
7KLV PHWKRG ZDV ILUVW SURSRVHG IRU SRZHU V\VWHP VWXGLHV >
@ 6LQFH WKH PHWKRG SURYLGHV WKH V\VWHPカV UHVSRQVH LQ
WHUPV RI QDWXUDO PRGHV RI WKH V\VWHP WKH DXWKRUV QDPHG
WKHLU PHWKRG 0RGDO 6HULHV ,Q >@ D QHZ IRUP RI 0RGDO
6HULHV LV SUHVHQWHG IRU WKH DQDO\VLV RI QRQOLQHDU FLUFXLWV
%\ DSSO\LQJ 0RGDO 6HULHV ZH FDQ GHFRPSRVH D QRQOLQHDU
V\VWHP WR D VHW RI OLQHDU VXEV\VWHPV DQG FRQVHTXHQWO\ D
ODUJH QXPEHU RI OLQHDU V\VWHP FRQFHSWV FDQ EH JHQHUDOL]HG
WR QRQOLQHDU RQHV
3UHGLFWLYH &RQWUROOHU 8VLQJ 0RGDO 6HULHV IRU
'&$& FRQYHUWHUV
1LPD 9DH]L
'HSDUWPHQW RI (OHFWULFDO (QJLQHHULQJ )HUGRZVL
8QLYHUVLW\ RI 0DVKKDG
0DVKKDG ,UDQ
QLPDYDH]L#VWXXPDFLU
$OL .DULPSRXU
'HSDUWPHQW RI (OHFWULFDO (QJLQHHULQJ )HUGRZVL
8QLYHUVLW\ RI 0DVKKDG
0DVKKDG ,UDQ
NDULPSRU#XPDFLU
2015 23
rd
Iranian Conference on Electrical Engineering (ICEE)
978-1-4799-1972-7/15/$31.00 c 2015 IEEE 966