Trabajo Control Difuso Alejandro Carpio
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7/23/2019 Trabajo Control Difuso Alejandro Carpio
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FKOPZKH @IEWVK @G PGL]GZCPWZC Y OIUGH @GH PCOSWG@G CHILGOPCFIO @G WO ]CVPGWZIQC@KZ @G PI]K PWOGH
Chgaco`rk Fcrpik Vofbgz
Gstu`icotg `gh Lstgr Woivgrsitcrik go Iongoigrc `g Vistglcs y `g Fkotrkh/ cfcrsco:Mnlcih/fkl
Zgsulgo
Gh prgsgotg crtfuhk trctc cfgrfc `gh `isgk `g uo
fkotrkh `ieusk qug sgc fcpcz `g lcotgogr hc
tglpgrcturc `gh cnuc `g rignk `g uo pcstgurizc`kr
tipk togh( utihizco`k uo tcoqug iotgrlg`ik( `gotrk `g
hks lrngogs tkhgrcjhgs pkr gh prk`uftk( y suprkfgsk4 y qug c`gls( fkotrkhg gh oivgh `gh tcoqug
`gotrk `g hks lrngogs tkhgrcjhgs/ Vg utihizcr gh
hgonucag EFH pcrc hc `geioifio `gh fkotrkhc`kr( y sg
gxpko`r fklk sg rgchizcrc su ilphglgotcfio
jcsc`c go uo ]HF Viglgos V>,6==/
]chcjrcs Fhcvg1 Fkotrkh `ieusk( pcstgurizc`kr(euzzieifcfio( EFH( vhvuhc `g fkotrkh( Viglgos(
^ioFF/
3 Iotrk`uffio
Hc io`ustric( y hc skfig`c` go ngogrch( rgquigrgo c hks
prkfgsks io`ustrichgs chilgotifiks rgspko`gr fko nrcofchi`c` y rgpgtijihi`c`/ Gxistgo uoc nrco fcoti`c` `g
prk`uftks qug go hc cftuchi`c` rgquigrgo sgr
sklgti`ks c uo prkfgsk `g pcstgurizcfio pcrc pk`gr
hknrcr fkosgrvcr sus prkpig`c`gs go gh tiglpk( y
pksijihitcr su trcospkrtcrtg c hcrncs `istcofics/ ]kr
ghhk( fkotrkhcr hks pcrlgtrks iovkhufrc`ks go gh
prkfgsk `g pcstgurizc`k( gs uoc tcrgc vitch/
Gh prkfgsk `g pcstgurizcfio go uo pcstgurizc`kr `gtogh
T3\sg rgchizc lg`icotg gh rkfic`k `gh prk`uftk c
pcstgurizcr( fko cnuc c `istiotcs tglpgrcturcs go
euofio `g hc zkoc go hc qug gh prk`uftk sg gofugotrc(
fkosinuigo`k fko gstg ltk`k hc lxilc trcoslisio`g fchkr( y c`gls( fkotrkhco`k hc tglpgrcturc `g
ekrlc prgfisc/ Hc uoi`c` qug sg utihizc go gstksprkfgsks sko hcs W] "uoi`c`gs `g pcstgurizcfio)( hc
fuch gs uoc ekrlc `g fucotieifcr gh nrc`k `g
pcstgurizc`k cfuluhc`k trcs pcscr pkr hcs zkocs/
]k`glks fkosgnuir uo lislk vchkr `g W] tcotk
cphifco`k lufbk fchkr `urcotg pkfk tiglpk( fklk
cphifco`k uo fchkr lgokr `urcotg ls tiglpk/ Ch sgrgh tiglpk qug pcsc gh prk`uftk `gotrk `gh
pcstgurizc`kr uo vchkr eiak go hc lcykrc `g gquipks
fklgrfichgs( hc ekrlc `g fkosgnuir uo vchkr gxcftk
`g W] gs fkotrkhcr gxbcustivclgotg hc tglpgrcturc
`gh cnuc go fc`c zkoc/
: Cohisis `gh ]rkjhglc
:/3 ]hcotgcligotk
@g hk gxpugstk sg fkofhuyg qug bcfgr uo jugo
fkotrkh `g hc tglpgrcturc `gh cnuc `g rkfic`k go fc`c
zkoc `gh togh gs vitch pcrc hknrcr uo rgsuhtc`k
sctisecftkrik y uoiekrlg `g pcstgurizc`k/ ]crc
rgchizcr hc tcrgc( lufbks sistglcs `g pcstgurizcfioutihizco fujcs iotgrlg`ics( yc qug ecfihitc rgfupgrcr
pcrtg `gh cnuc( vkhvio`khk c iotrk`ufir ch fifhk `g
rkfic`k/ Uclks c iotgotcr rgchizcr gh fkotrkh `g uoc
`g `ifbcs fujcs/
Einurc 31 @icnrclc `g gsqugltifk `g hc phcotc
Pgoglks uoc fujc fkogftc`c c uoc hogc `g
chilgotcfio `g cnuc c tglpgrcturc cljigotg( hc fuch
oksktrks fkosi`grclks fklk cnuc erc4 y uoc hogc `g
chilgotcfio `g cnuc fchigotg prkvgoigotg `g uoiotgrfcljic`kr fko vcpkr/ @ifbc fujc `ispkog go su
pcrtg ioegrikr `g uoc hogc qug fkogftc hc fujc fko
uoc jkljc rktk,`iolifc( hc fuch jkljgc gh cnuc `g
hc fujc ch sistglc `g rkfic`k( c`gls `g `ispkogr `g
uo sistglc `g bklkngoizcfio `g hc tglpgrcturc go
su iotgrikr lg`icotg uo cnitc`kr/ Fc`c hogc `g
gotrc`c `ispkog c su vgz `g uoc vhvuhc `g fkotrkh(
qug sgro hks kjagtivks `g ougstrk fkotrkh( fko gh qug
jusfcrglks lcotgogr hc tglpgrcturc `gsgc`c `g
rkfic`k( y c su vgz( lcotgogr uo oivgh go hc fujc
sueifigotg pcrc cjcstgfgr c `ifbk sistglc `g rkfic`k/
C`gls( sg iofkrpkrc c hc fujc uoc vhvuhc `g
fkotrkh pcrc pgrlitir gh `rgocag fkotrkhc`k `g hc
lislc go fcsk( oifclgotg( `g cjskhutc ogfgsi`c`/
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:/: Vkhufio ]rkpugstc
Gh prkjhglc qug sg phcotgc gs chnk fklphgak `gs`g gh
puotk `g vistc `g hc iongoigrc `g fkotrkh( yc qug hc
vcricfio `gh fcu`ch `g gotrc`c `g cnuc erc+fchigotg
pcrc rg`ufir+culgotcr hc tglpgrcturc `g hc fujc
cegftcrc c`gls eugrtglgotg ch oivgh `g hc lislc(auotk c hc vcricfio `g oivgh qug prkvkfc gh `rgocag yutihizcfio `gh cnuc fkotgoi`c go hc fujc(
fkovirtigo`k c gstg sistglc go uo sistglc LILK
"Luhtiphg Ioput Luhtiphg Kutput)/
Gstg gsfgocrik oks fko`ufg c pgoscr go hcs vgotcacs
`g hks sistglcs `g fkotrkh iotghingotg( yc qug
pgrlitgo rgchizcr gh nkjgroc`k sio tgogr qug tgogr uo
lk`ghk prgfisk y fklphgtk `g hc phcotc/
6 @isgk `g hc Vkhufio
Prcs rgchizcr uo pgqugk cohisis `gh prkjhglc( y`gfi`ir gh usk `g uo sistglc `g fkotrkh iotghingotg(
vclks c kptcr pkr `isgcr uo fkotrkhc`kr `ieusk qug
rgchifg hc euofio qug ogfgsitclks/ @ifbk fkotrkh sg
gofcrncrc `g `gfi`ir hc lgakr lcogrc `g fkosgnuir hc
fkosinoc `g tglpgrcturc y oivgh go hc fujc( lg`icotg
gh usk `g uoc sgrig `g rgnhcs hionstifcs/ ]kr tcotk(
tgo`rglks fklk gotrc`cs ch sistglc `g fkotrkh( uoc
vcricjhg `g tglpgrcturc y ktrc `g oivgh cftuch `g hc
fujc4 y fklk schi`cs( gh pkrfgotcag `g cpgrturc `g hcs
vhvuhcs `g fkotrkh `g hcs hogcs `g cnuc erc( cnuc
fchigotg y `rgocag/ ]crc hc ilphglgotcfio uscrglks
uo cutlctc Viglgos V>( gh fuch sg gofcrncr `gsulioistrcr hks `ctks go ekrlctk `g olgrk rgch( c uo
jhkqug euofio "`geioi`k go gh gsto`cr 3363,6T:\
)
skjrg gh qug sg ilphglgotcrc gh fkotrkhc`kr `ieusk
usco`k hgonucag EFHT6\
/
Vg sulioistrcrc gh pkrfgotcag `g oivgh `g hhgoc`k `g
hc fujc "=,3==')( y hc `iegrgofic gotrg hc tglpgrcturc
kjagtivk y hc cftuch( `co`k vchkrgs pksitivks pcrc
cnuc `glcsic`k fchigotg( y vchkrgs ognctivks pcrc
cnuc `glcsic`k erc/ Ougstrk kjagtivk fko gh fkotrkh
sgr tgogr hc fujc ch 7=' fko uoc `iegrgofic `g
tglpgrcturc gotrg hc fkosinc kjagtivk y gh vchkr
cftuch( `g =F( tgoigo`k gh fkotrkh tgo`gofic c uohingrk skjrg,hhgoc`k si fko ghhk sg fkosinug lcotgogr
hc tglpgrcturc fkrrgftc/
6/3 Euzzieifcfio
Gstg fklpkogotg `gh fkotrkhc`kr `ieusk sg gofcrnc
`g hc tcrgc `g fkovgrtir gh vchkr `g hcs vcricjhgs `g
gotrc`c "tglpgrcturc y oivgh)( go trlioks
hionstifks/ ]crc ghhk sg `gtgrlioc gh nrc`k `gpgrtgogofic `g hc vcricjhg ch tgrliok hionstifk(
lg`icotg gh usk `g uoc euofio `g pgrtgogfc/ Go gstg
fcsk( sg bco usc`k euofikogs `g pgrtgogfc
trcpgzki`chgs y triconuhcrgs/
Einurc :1 @icnrclc `g euofikogs `g pgrtgogofic pcrc
Pglpgrcturc
Einurc 61 @icnrclc `g euofikogs `g pgrtgogofic pcrcOivgh
Vg bco `geioi`k tcotk pcrc gh oivgh( fklk pcrc hc
tglpgrcturc 7 vcricjhgs hionstifcs1 luychtk( chtk(
kd( jcak( luy jcak/
]crc `geioir hcs euofikogs `g pgrtgogofic( gh hgonucag
EFH rgquigrg qug hg `glks hks puotks qug `geiogo hc
euofio( `g izquigr`c c `grgfbc( lcotgoio`ksg gh
vchkr qug tigog gh puotk `g fc`c gxtrglk pcrc hks
vchkrgs ok fklprgo`i`ks go gh rconk `g hks puotks
`c`ks/
6/: @geuzzieifcfio
Gstg fklpkogotg `gh fkotrkhc`kr `ieusk sg gofcrnc
`g hc tcrgc `g fkovgrtir fc`c vcricjhg hionstifc gouo vchkr oulrifk/
Vg bco `geioi`k : euofikogs `g pgrtgogofic `gh tipk
sionhgtko pcrc fc`c uoc `g hcs vhvuhcs
"Cjigrtc+Fgrrc`c)( skjrg hcs qug sg cphifc uo ecftkr
`g pgsk pcrc vcricr hc schi`c( y skjrg hks fuchgs sgcphifc gh ltk`k `g `geuzzieifcfio FKNV "3)
"Fgotrk `g Nrcvg`c` pcrc Vionhgtko)/
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7/23/2019 Trabajo Control Difuso Alejandro Carpio
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i
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3
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Einurc 01 @icnrclc `g euofikogs `g pgrtgogofic pcrc
Uhvuhc @rgocag( Erik y Fchkr
6/6 Jhkqug `g rgnhcs
Gstg fklpkogotg `gh fkotrkhc`kr `ieusk sg gofcrnc
`g rgchizcr hc ioegrgofic `gh chnkritlk `ieusk(
bcjio`khk `ivi`i`k go : nrupks `g rgnhcs/ Gh prilgr
nrupk sg gofcrnc `g fkotrkhcr gh nrc`k `g cpgrturc y
figrrg `g hcs vhvuhcs `g fkotrkh `g hcs hogcs `g erik y
fchkr/ Gh sgnuo`k nrupk sg gofcrnc `g fkotrkhcr gh
nrc`k `g cpgrturc `g hc vhvuhc `g `rgocag/ Vi jigo(
tk`cs hcs rgnhcs gsto `geioi`cs go gh lislk jhkqug
`g rgnhcs `gh hgonucag EFH/
Hcs rgnhcs `geioi`cs go hks jhkqugs fkotrkhc`krgs(
utihizco`k hc siotcxis `gh hgonucag EFH( sko `g hc
ekrlc1
ZWHG O1 IE oivgh IV vhion3 CO@ tglp IV vhion:PBGO v[erik IV vhion6 ^IPB O( v[fchkr IV vhion0
ZWHG O1 IE oivgh IV vhion3 CO@ tglp IV vhion:
PBGO v[`rgocag IPB O IV vhion6 ^IPB O4Hcs rgnhcs gsto `isgc`cs pcrc lioilizcr hc fcoti`c``g cnuc qug sg govc c `rgocag( `rgoco`k oifclgotg
fuco`k gh gstc`k `g hc fujc "tglpgrcturc y+k oivgh)
io`ifc uoc situcfio qug ok sg pug`g skhufikocr sio
`rgocr cnuc/
0 Ilphglgotcfio
]crc rgchizcr hc ilphglgotcfio `gh sistglc `g
fkotrkh( utihizcrglks uo cutlctc prknrclcjhg
Viglgos V>,6==/ Gh lislk `ispkog `g 3 tcragtc `g
gotrc`cs+schi`cs cochnifcs VL663( c hcs qug
hhgvcrglks gh fkogxikoc`k ogfgscrik pcrc `cr hc
fkosinoc c hcs jkljcs( y rgfijir hc tglpgrcturc yoivgh cftuch `gh tcoqug/ Fko `ifbks `ctks(
rgchizcrglks hcs kpgrcfikogs ogfgscrics pcrc c`gfucr
hc prgsgotcfio `g hks `ctks c hcs ogfgsi`c`gs `g
ougstrk sistglc `g fkotrkh/
]crc ilphglgotcr gh fkotrkhc`kr `ieusk( utihizcrglksgh Euzzy Fkotrkh$$( `g IP0Io`ustry Pgcl( qug
pgrlitg hc prknrclcfio go EFH `g ekrlc octivc
pcrc Viglgos/ Frgcrglks uo jhkqug `g euofioT0\
(
`ko`g gsfrijirglks gh f`ink EFH `isgc`k( gh fuch
sg gofcrncrc `g hc tcrgc `g euzzyeifcfiko( ioegrgofic y
`geuzzyeifcfio( `co`k hcs 6 fkosinocs `g cpgrturc
`g hcs vhvuhcs `g fkotrkh/
C`gls( `gjgrglks cskficr `ifbcs schi`cs c fc`c uoc
`g hcs schi`cs cochnifcs cskfic`cs c fc`c uoc `g hcs
fkosinocs `g cpgrturc `g hcs vhvuhcs `g fkotrkh/
Einurc 71 @geioifio `gh fkotrkhc`kr `ieusk
]kr htilk( prknrclcrglks uo pgqugk sioptifk
pcrc hc rgprgsgotcfio `gh gstc`k `g hc phcotc go uo
pcogh `g kpgrc`kr( utihizco`k ^ioFF Ehgxijhg/
Einurc 51 ]cogh `g Kpgrc`kr jcsc`k go ^ioFF
ehgxijhg
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7 ]rugjcs
Prcs gh `gscrrkhhk y hc ilphglgotcfio( sg prkfg`g c
bcfgr uoc pgqugc siluhcfio `gh fkotrkh `ieusk `g
hc phcotc( gstcjhgfigo`k uoks fcu`chgs y
tglpgrcturcs siluhc`ks fko gh kjagtivk `g vgr hc
rgspugstc `gh fkotrkhc`kr/ Vi jigo( fko gstc prugjc okprgtgo`glks gstu`icr hc rgspugstc `iolifc `g hc
phcotc ch ok `ispkogr `g uo lk`ghk `g hc lislc/
]crc ghhk sg bc ilphglgotc`k uoc euofio `g tipk
rgftc pcrc siluhcr gh oivgh `g hc fujc( `co`k gh vchkr
3==' pcrc 3== hitrks( y =' pcrc = hitrks/ ]crc siluhcr
hks fcu`chgs `g gotrc`c( sg bco frgc`k `ks fuc`rks `g
tgxtk go gh sioptifk pcrc `cr hks hitrks pkr sgnuo`k( yktrks `ks fuc`rks `g tgxtk pcrc `cr hc tglpgrcturc4
c`gls `g ktrk fuc`rk `g tgxtk c`ifikoch pcrc
iotrk`ufir gh fcu`ch `g schi`c go hitrks+sgnuo`k/
]crc rgchizcr gh fhfuhk siluhc`k( sg fchfuhc `g ekrlccprkxilc`c gh ougvk oivgh y tglpgrcturc/ ]crc ghhk sgbc ilphglgotc`k uoc euofio ":) pcrc kjtgogr gh
ougvk oivgh `g hc fujc( y ktrc euofio "6) pcrc
kjtgogr hc ougvc tglpgrcturc cprkxilc`c `g hc fujc
trcs cc`ir hks : fcu`chgs1
)" F@FVFFFEO@@O ":)
FFFEO@
PFFFPEFEP@O@@P
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Pcjhc 31 Fkrrgspko`gofic Okljrg,@gsfripfio
Okljrg @gsfripfioO@
O@FE
FF
FV
F@
P@
P@PE
PF
Oivgh @gpksitk "=,3== hitrks)
Ougvk Oivgh @gpksitk "hitrks)Fcu`ch Erik "hitrks+sgn)
Fcu`ch Fchkr "hitrks+sgn)
Fcu`ch `g Vchi`c "hitrks+sgn)
Fcu`ch `g @rgocag "hitrks+sgn)
Pglp/ @gpksitk "F)
Ougvc Pglp/ @gpksitk "F)Pglp/ Fcu`ch Erik "F)
Pglp/ Fcu`ch Fchkr"F)
Cljcs euofikogs sg gagfutco `g ekrlc tglpkrizc`c
fc`c sgnuo`k( cftuchizco`k gh oivgh `g hc fujc y hc
tglpgrcturc `g ekrlc siluhtogc/
Hks rgsuhtc`ks `g hc prugjc `glkstrcrko qug gh
fkotrkhc`kr jusfc hhgvcr hc phcotc c gstc`k gstcjhg
pcrc nrco fcoti`c` `g fkljiocfikogs y vcricfikogs
`g fcu`chgs y tglpgrcturcs/ Vi jigo( sg bc kjsgrvc`k
qug c echtc `gh fcu`ch `g gotrc`c `g cnuc erc kfchigotg( gh oivgh `g hc fujc tigo`g c `gsfgo`gr ch
loilk oivgh( iotgotco`k gh fkotrkhc`kr `ieusk
lcotgogr uo oivgh loilk( pgrk sio fkotrkhcr
fkrrgftclgotg hc tglpgrcturc/
5 Fkofhusikogs
Fko tk`k hk gxpugstk( bglks pk`i`k vgr qug gh
fkotrkhc`kr `ieusk bc si`k hc skhufio ch prkjhglc
qug sg oks phcotgcjc( pgrlitio`koks rgchizcr uo
fkotrkh rkjustk go uoc phcotc fuyk lk`ghc`k bujigrc
si`k luy fklphgak( y fko uoc nrco fcoti`c` `gghglgotks iotgrvioigotgs go gh fklpkrtcligotk
`iolifk `g hc lislc/ Fko hcs prugjcs( bglks
pk`i`k kjsgrvcr qug hc phcotc tigog tgo`gofic c
cfcjcr go hks chrg`g`krgs `g hc fkosinoc `g oivgh( y
fko uoc tglpgrcturc luy prxilc c hc kjagtivk/ Vio
huncr c `u`cs c qug`c`k `glkstrc`c hc utihi`c` `g
gstks sistglcs go cphifcfikogs `g fkotrkh io`ustrich(
fuco`k gh fkotrkh fhsifk tigog prkjhglcs pcrc `cr hcrgspugstc gspgrc`c/
Cnrc`gfiligotks
C hc ejrifc `g Fgrvgzc `g Ekot Vchgl( Gh ]uin(
pkr su trctk `urcotg li gstcofic/
Zgegrgofics
T3\ Vco`gr Bcosgo/ Drkogs Nrkup Pgfokhknc
`g hc pcstgurizcfio/ ]cn, 5,9
T:\ @klionk ]gc( Akco/ Nliz Fcrk( Auco/
Nrcu i Vch`gs( Cotkoi/ Lcrtogz Ncrfc( Bgrlioik/
*Iotrk`uffio c hks Cutlctcs prknrclcjhgs*/ G`/WKF/ :==6
T6\ Iotgroctikoch Ghgftrktgfboifch Fkllissiko(
Euzzy Fkotrkh ]rknrcllion/ FIGF 3363,> F@3(
Fkllittgg @rcet F@ 3/=/ pp/ 33,67/
T0\ Viglgos CN/ VILCPIF V> Euzzy Fkotrkh
Wsgr Lcouch/F>9===,N>=>5,F395,=:/ 399: