Auto Tuned PID Controller Design Using Diophantine ...

3 downloads 0 Views 44KB Size Report
Variable Energy Cyclotron Center, 1/AF Bidhan Nagar, Kolkata, 700064, INDIA [email protected]. $EVWUDFWE This paper describes the application of ...
$XWR7XQHG3,'&RQWUROOHU'HVLJQ8VLQJ 'LRSKDQWLQH(TXDWLRQ 6DXUDEK6ULYDVWDYD$QXUDDJ0LVUDDQG963DQGLW 9DULDEOH(QHUJ\&\FORWURQ&HQWHU$)%LGKDQ1DJDU.RONDWD,1',$ VDXUDEK#YHFFJRYLQ $EVWUDFW²7KLVSDSHUGHVFULEHVWKHDSSOLFDWLRQRI'LRSKDQWLQH HTXDWLRQ LQ DXWR WXQHG 3,' FRQWUROOHUV 7KH PHWKRG KDV EHHQ DSSOLHG WR D VHFRQG RUGHU V\VWHP ZLWK QR ]HURHV 7KH SODQW WUDQVIHUIXQFWLRQLVREWDLQHGE\V\VWHPLGHQWLILFDWLRQWRROER[RI WKH0$7/$%7KHXQLTXHQHVVRIWKLVDSSURDFKLVWKDWWKH3,' SDUDPHWHUVFDQEHIRXQGYHU\TXLFNO\ZLWKOHVVFRPSXWDWLRQDO HIIRUWV7KHSURSRVHGPHWKRGKDVEHHQYDOLGDWHGRQWKHVSHHG FRQWURORID'&PRWRU .H\ZRUGV$XWRWXQLQJ3,'SROHSODFHPHQW

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±1LFKROV WXQLQJ &RKHQ±&RRQ WXQLQJ  LQWHUQDO PRGHO FRQWURO  GLUHFW V\QWKHVLV PHWKRG QHXUDO QHWZRUNV EDVHGPHWKRGRORJLHVUHOD\EDVHGDXWRWXQLQJPHWKRGXVLQJ 'LRSKDQWLQHDQGPDQ\PRUH>@ 7KLV SDSHU SUHVHQWV D PHWKRGRORJ\ IRU RQOLQH DXWR WXQLQJRI3,'FRQWUROOHUSDUDPHWHUV7KH3,'SDUDPHWHUVDUH REWDLQHGE\ VROYLQJ 'LRSKDQWLQH HTXDWLRQZKLFKUHVXOWV E\ FRPSDULQJ WKH GHQRPLQDWRU RI WKH FORVHG ORRS IHHGEDFN V\VWHP ZLWK WKH GHVLUHG FKDUDFWHULVWLFV SRO\QRPLDO 7KH LPSRUWDQFH RI 'LRSKDQWLQH HTXDWLRQ LV WKDW LWV PDNH WKH WXQLQJ SURFHGXUH FRPSDFW E\ PDNLQJ DOJHEUDLF HTXDWLRQ ZKLFK FDQEHVROYHG HDVLO\ E\ XVLQJ PDWULFHV 'LRSKDQWLQH HTXDWLRQ KDV EHHQ XVHG LQ PDQ\ DSSOLFDWLRQV VXFK DV PXOWLYDULDEOHFRQWUROV\VWHP>@WLPHGHOD\V\VWHPV>@HWF ,Q WKLV SDSHU LW LV IRXQG WKDW LI WKLV PHWKRG LV DSSOLHG WR D VHFRQGRUGHUV\VWHPVZLWKQR]HURHVWKDQWKHYDOXHVRI3,' SDUDPHWHUV FDQ EH IRXQG LQ VLQJOH LWHUDWLRQ ZLWKRXW

c 978-1-4673-4700-6/12/$31.00 2012 IEEE

)LJXUH$XWR7XQLQJ6FKHPHRI3,'&RQWUROOHU

LQYROYLQJDQ\PDWUL[LQYHUVLRQEXWLIWKHPHWKRGVLVDSSOLHG WR WKH VHFRQG RUGHU V\VWHPV ZLWK ]HURHV VXFK DV QRQ PLQLPXPSKDVHV\VWHPVWKHQPDWUL[LQYHUVLRQLVUHTXLUHG ZKLFKLQFUHDVHVWKHPDWKHPDWLFDOFRPSOH[LW\LQWKHGHVLJQ 7KH SODQW PRGHO FDQ EH LGHQWLILHG E\ DSSO\LQJ WKH ZHOO NQRZQ V\VWHP LGHQWLILFDWLRQ WRROER[ RI WKH 0$7/$% ZKLFK LV IROORZHG E\ WKH WXQLQJ RI WKH 3,' FRQWUROOHU DV VKRZQLQWKH)LJ ,, 6

Suggest Documents