FUZZY NEURAL NETWORK CONTROL FOR GRAVURE PRINTING

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1 Conrol Unvrsy of Bah UK Spmbr D-9 FUZZY NEURAL NETWRK CNTRL FR GRAVURE RNTNG L. Dng.E. Bamforh M.R. ackson R. M. arkn Wolfson School of Mchancal & Manfacrng Engnrng Loghborogh Unvrsy Ashby Road Loghborogh LE TU U.K. mal: fax: 977 Kyords: Fzzy Nral Nork FNN Gravr prnng Absrac n hs papr a rand fzzy nral nork FNN conrol sysm for gravr prnng s prsnd. Frsly h gravr prnng procss and s problms ha nd o b solvd ar nrodcd. Thn a FNN conrollr s proposd hch ngras fzzy F-THEN rls no a nral nork srcr basd on h characrscs of gravr prnng. Th gradn dscn h momnm larnng mhod s lsd o ran h FNN. Th larnng ably and ffcvnss of h proposd FNN conrol sysm s dmonsrad h xprmnal daa. Fnally conclsons ar dran and frhr rsarch smmarsd. nrodcon Gravr prn s a hgh spd procss o ransfr h nk from ngravd clls o h papr srfac. As shon n Fgr gravr prnng gnrally consss of nk fonan gravr cylndr docor blad mprsson rollr and b handlng. Th prnng procss paramrs sch as b spd mprsson prssr and nk vscosy can graly nflnc h do dal and prnd color. s dffcl o sablsh h rlaonshps bn procss paramrs and prnng qaly and f solons xs o conrol gravr prnng aomacally. Ths prnng procss conrol sll rls on h ndvdal xprnc of h opraors of h prnng qpmn. lads o som problms ncldng: mprsson rollr b Each prn opraor has hr on prfrrd prss sp. Sbsanal fnancal loss d o long prss sp ms. s dffcl o s a rpa rn of a prodc o mach h orgnal. From h abov dscssons can b sn ha an aomac conrol sragy for h gravr prnng procss s ndd. Fzzy nral nork FNN conrol s an nllgn conrol sysm hch ngras nral nork srcr h fzzy logc conrol. A rand FNN s parclarly sabl for sysms h ncran and complx dynas. has bn sccssflly appld o varos procss conrols sch as cng procss aomac ndrar vhcls and condon monorng c. Ths rsarch s manly focs on gravr prnng for dcorav allcovrngs and a FNN conrol sysm hch can solv h complx prnng conrol problm. Ths papr s organsd as follos. Afr a brf lrar rv scon dscrbs h characrscs of h prnng procss and h maor sss n prnng conrol. n scon a fzzy nral nork conrol sysm for h prnng procss and s larnng mhod ar proposd. n scon a conrol sysm basd on h proposd mhod s mplmnd and s ffcvnss s dmonsrad by s rsls. Fnally h conclsons and frhr ork ar gvn n scon Lrar rv Varos conrol sysms hav bn proposd n h las svral yars. Thr hav bn fv common approachs: modl rfrnc adapv conrol.g. Chang and Hang []; fzzy conrol.g. Tanaka and Kosak []; D proporonal ngral and drvav conrollr.g. Ln al [8]; varabl srcr sysm.g. Dyda al [] and nral nork.g. Man al [9]. docor blad Fgr : Gravr prnng procss gravr cylndr nk fonan n rcn yars FNN sysms hch ar h fson of fzzy logc and nral norks has aracd rsarch anon graly Masorocosas and Thochars [] Wang al [] Da and Song [] Kasabov [] Ln [7]. A nmbr of FNN hav bn proposd for varos conrol sysms. For xampl a FNN conrol sysm for mllng opraons o manan forc [7] FNN o conrol a nonlnar oggl mchansm [] adapv FNN conrollr for brshlss drvrs [] o nral fzzy nfrnc sysms for moor fal dcon and dagnoss [] fzzy ARTMA nral nork for modlng

2 Conrol Unvrsy of Bah UK Spmbr D-9 h cng condons of mllng opraons [] a rcrrn nro-fzzy conrol for an aonomos ndrar vhcl [] FNN o monor machn condon []. FNN conrol sysms hav h ponal o conrol gravr prnng procss bcas dos no rqr a prcs mahmacal modl of h sysm. Hovr hr ar sll som spcal problms ha nd o b consdrd for gravr prnng conrol ha s: Thr ar normally on or o nps for crrn FNN conrol sysms b for gravr prnng conrol h saon s dffrn. Th prn qaly s affcd by svral facors sch as do sz and shap c. Thrfor mor nps ar ndd n h FNN conrol sysm for gravr prnng procsss. n crrn FNN conrol sysms h fzzy rl s gnrally dfnd n h follong form: l l ln f x S A AND x S A AND AND xn. S A l B lm B m THEN y S AND AND y m S. As kno h h ncrasng of nps h nmbr of rls sng h abov forma ll ncras graly. For xampl s assmd ha h nps ar ach np has fzzy ss hn h nmbr of rls s. bvosly h forma s no sabl for gravr prnng conrol and a smplr rl forma nds o b dsgnd. rnng procss To sablsh h rlaonshps of h procss paramrs and h nk do fars a srs of xprmns h dffrn sngs of procss paramrs has bn carrd o. Th procss paramrs ha hav bn akn no accon ar: b spd mprsson prssr and nk vscosy. n h ohr hand hr ar gh do far characrscs ha dfn prnng qaly ha s: do sz drag o h hol haz roghnss blochnss rvrng and srak. Fgrs o gv som rsls of hs xprmns. Basd on h abov rsls can b concldd ha: rocss paramrs hav gra nflncs on prnng qaly Dffrn procss paramrs hav a dffrn nflnc on do fars. Sam procss paramrs h dffrn lvls may rsl n dffrn nflncs on do fars. Thr ar complx and ofn nconssn nracons bn procss paramrs and s hrfor dffcl o xrac concs conrol rls for all paramrs drcly. Fzzy-nral nork conrol sysm n hs scon a fd forard sx-layr fzzy nral nork o mplmn h prnng procss conrol s consrcd ncldng: h srcr and h larnng algorhm n. Archcr of h FNN conrol sysm Th proposd FNN conrol sysm shon n Fgr consss of sx layrs. Th smanc manng and fncon of h nrons ar as blo: Layr : Ths layr ransfrs h np varabl o h nx layr. Th nps o h FNNC ar gh prnng do fars and hr procss paramrs dfnd n h abov scon. Thrfor hr ar nrons n layr ach rprsns on np varabl. For h h nron n hs layr h np and op ncrasng probably ar rprsnd rspcvly as: ncrasng probably spd-drag o Wbspd m/sc Fgr : Rlaonshp bn b spd and drag o ncrasng probably ncrasng probably Spd-Blochnss Wb spdm/s Fgr : Rlaonshp bn b spd and blochnss ncrasng probably ncrasng probably prssr-blochnss prssrrn Fgr : Rlaonshp bn prssr and blochnss ncrasng proably..... ncrasng probablly prssr-drag o prssr rn Fgr : Rlaonshp bn prssr and drag o

3 Conrol Unvrsy of Bah UK Spmbr D-9 X hr X rprsns h h np o h nod of layr Fgr : Srcr of Fzzy Nral Nork Layr : n hs layr ach nron acs as a mmbrshp fncon o xprss fzzy lngsc varabls. Accordng o h dffrn characrscs of do fars and procss paramrs o yps of fzzy ss for h np/op varabls ar dfnd: yp s for do fars ncldng good normal bad vry bad; yp s for procss paramrs ncldng vry lo lo mddl hgh and vry hgh. Gassan acvaon fncons ar sd as h mmbrshp fncons for hs fzzy ss. So h op of h h nron assocad h s dnod as: hr and ar rspcvly h cnr and h dh of h Gassan mmbrshp fncon n h h rm of h h np lngsc varabl o h nod of layr. Thrfor 7 nrons ar ncldd n layr o ndca h np/op lngsc varabls. Layr : Each nron n layr s ndcad by h maxmm opraor hch can b dscrbd as: f max... ohrs mans for ach np far only h srongs nron ll b acv o h nx layr. Layr : Each nron n hs layr rprsns on fzzy conrol rl. As dscssd n scon s dffcl o xrac conrol rls rlad o all do fars and procss paramrs. Hr h follong rl forma s chosn: s l l A A 8 8 k B l k f x s h x s a lvl hn y k s. Thr ar nrons n layr o form 8 fzzy rls basd on prnng xprmns. Th np and op for hs layr can b rn as: Whr 7 8 s h op of h h rl. Hr rprsns h ncrasng/dcrasng probably for h procss paramrs. Layr : Th nrons n hs layr prform dfzzfcaon. Each nron s oband by smmng all np from h prvos layr hch can b rprsnd as: 9 hr s h lnk ghs bn layr o layr. Layr : n ordr o normals h op of FNN and nhanc h sably a bpolar sgmod acvaon fncon s mposd a hs layr ha s. Larnng algorhm A back-propagaon larnng algorhm s mployd o ran h FNN basd on a nmbr of np-op ranng sampls. Th obcv of ranng s o mnms h rror fncon hch s dfnd as: E m m E y hr m s h sm of nrons of layr.. ; y and ar rspcvly h arg and acal op of h h nron of op layr for h h ranng xampl. Accordng o h abov dfnon h rror fncon can b propagad o ach layr n a fdbackard drcon: Layr : From Eqaons and h rror n layr s calclad as: E y E

4 Layr : Usng qaons and h rror n hs layr s dnod as: Layr : Basd on qaons 9 and 8 h rror s compd as: f f 7 Layr : Smlarly h rror n layr s gvn basd on qaons 7 7 and : f f f 8 Layr : Usng qaons 8 and h rror n hs layr s rprsnd as: ohrs s max 9 Layr : Fnally h rror n layr s gvn basd on qaons 9 and n h sam ay: n v of h abov dfnons h gradn dscn h momnm larnng rl s sd o pda for paramrs of FNN. hr s h momnm coffcn for s h larnng ra for For : hr s h momnm coffcn for s h larnng ra for hr s h momnm coffcn for s h larnng ra for 7 8 hr s h momnm coffcn for s h larnng ra for Smlaon Rsls To dmonsra h larnng capably and valaon h prformanc of h proposd mhod a FNN conrol sysm has bn mplmnd n Vsal Basc h SQL Srvr on nm CU.GHz. As shon n Fgr 7 h FNN conrol sysm convrgs h rror fncon of h ordr of %. Varos s cass hav bn prformd basd on h daa collcd n xprmn. An xampl conrolld by h proposd FNN s shon n Fgr 8. can b sn ha h proposd mhod can conrol gravr prnng procsss proprly and qckly. Conrol Unvrsy of Bah UK Spmbr D-9

5 Conrol Unvrsy of Bah UK Spmbr D-9 Error fncon Tranng sp Fgr 7: Tranng procss sng FNN rror Conrol nmbr Fgr 8: Exampl of conrol procss Conclson dosz drago hhol haz roghnss blochnss rvrng srak oal rror Th obcv of h rsarch s o fnd a solon ha can conrol h gravr prnng procss proprly. Th proposd mhod has advanags n: Aomac conrol for gravr prnng procss s dffcl d o h complx and ofn nconssn nracons bn procss paramrs. FNN solv hs problm proprly hrogh ngrang h advanags of fzzy logc h nral nork. Th gravr prnng procss s spcfc o dffrn prnng machns. Th larnng ably of h proposd FNN has bn provd hch maks h conrol sysm adapabl o varos gravr prnng machns. Som frhr ork can b consdrd ncldng onln ranng and consdrng mor facors.g. sbsra yps and nk characrscs. Rfrncs [] S. Alg M.Y. Cho and H.. Trssll Fzzy nfrnc sysms mplmnd on nral archcrs for moor fal dcon and dagnoss EEE Transacons on ndsral Elcroncs pp [] M.H. Chang and C.C. Hang Exprmnal mplmnaon of complx pah rackng conrol for larg roboc hydralc xcavaors nrnaonal ornal of Advancd Manfacrng Tchnology - pp.-. [] F. Da and W. Song Fzzy nral norks for drc adapv conrol EEE Transacons on ndsral Elcroncs 7-. [] A.A. Dyda A.V. Lbdv and V.F. Flarov Synhss of a varabl srcr sysm for h conrol of h ndrar robo moon ornal of Compr and Sysms scncs nrnaonal 9 pp. 8-. [] R. avadpor and G.M. Knapp A fzzy nral nork approach o machn condon monorng Comprs & ndsral Engnrng pp.-. [] N.K. Kasabov Larnng fzzy rls and approxma rasonng n fzzy nral norks and hybrd sysms Fzzy Ss and Sysms 8 pp [7] C.. Ln A fzzy adapv larnng conrol nork h on-ln srcr and paramr larnng nrnaonal ornal of Nral Sysms 7 pp [8] C. Ln Q.G. Wang and T.H. L An mprovmn on mlvarabl D conrollr dsgn va rav LM approach Aomaca pp. 9-. [9] Z. Man H.R. W and M. alansam An adapv rackng conrollr sng nral norks for a class of nonlnar sysms EEE Transacons on Nral Norks 9 pp [].A. Masorocosas and.b. Thochars A rcrrn fzzy-nral modl for dyna sysm dnfcaon EEE Transacons on Sysms Man and Cybrncs- ar B: Cybrncs pp.7-9. [] B.T. ark M.W. ark and S.K. Km Gnraon and volonary larnng of cng condons for mllng opraons Th nrnaonal ornal of Advancd Manfacrng Tchnology 7 pp [] A. Rbaa D. Rcks and M.D. Kankam Dvlopmn and mplmnaon of an Adapv Fzzy-Nral-Nork Conrollr for Brshlss Drvrs EEE Transacons on ndsral Elcroncs 8 pp.-7. [] K. Tanaka and T. Kosak Dsgn of a sabl fzzy conrollr for an arclad vhcl EEE Transacons on Sysms Man and Cybrncs-ar B: Cybrncs 7 pp [] R.. Wa Robs fzzy nral nork conrol for nonlnar moor-oggl srvomchansm Fzzy Ss and Sysms 9 pp.8-8. [].S. Wang and C.S.G. L Slf-adapv rcrrn nro-fzzy conrol of an aonomos ndrar vhcl EEE Transacons on Robocs and Aomaon 9 pp.8-9. [] W.Y. Wang C.Y. Chng and Y.G. L An onln GAbasd op-fdback drc adapv fzzy-nral conrollr for ncran nonlnar sysms EEE Transacons on Sysms Man and Cybrncs-ar B: Cybrncs pp.-. [7] Y. Zho S. L and R. n A n fzzy nral nork h fas larnng algorhm and garand sably for manfacrng procss conrol Fzzy Ss and Sysms pp. -.