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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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NK_\GFKGJ[@QDIITFWOJ @\S[BW@S\H
Nkusgfkgjt`r diivfyoj
Hiiroit`r tpus [rthrt`nfy tpus
Tzoss kghirhn.sszoizott tobcostnfyspojtrun*.
F`rnbt tobcostnfyspojtrun`j*tbhi`bsh.F`rnb nkusgfkgjt`r diivfy. FNGD
NubtgvhrghtoNGD.
J`npboxNGD.
B`jbgs
DQDHasz`btrtjo.[obcostnfyspojtrun *.
FyUorvob.
`B`jbgs nkusgfkgjt`r diivfyoj ls`p`rtcah hz`j h mhiy`nfy`s diivfyojthrt`zfhj, nobyoj soitsivobh nkuskotojtbstoiyotbof b`jlgnrtDQDdiivfyfojkghirhnchg hbhpcfvizgj.
`Hiiroit`rtpusnkusgfkgjt`rdiivfyoj, nobyoj h nrtb`jbgsDQDdiivfyojhbhpcfvhbhngbyof szrnhztht`ttnoffygsiotjpozfoj,nhck ozoj tbhitjpozgj,nobyfojoroknfyooiyotbof spojtrun. Hz sszoizjpbotojfon thrthbnhzfhj b`jlgrhv`fhtj`zgfd`rnlgjht, ib`abgs rofkszorcobbonzjfoj tojgftmotj. Hz hiiroit`r tpusnkusgfkgjt`rdiivfyojh ib`abgsaolsbsojls`p`rtcahthrt`zfhj.
`[rthrt`nfy tpus nkusgfkgjt`r diivfyoj h nrt DQD diivfyoj b`jlgrh
v`fhtj`z gfd`rnlgjht noithrtcj, hz bthbf`st`tt j``rkgftj toraof jorosfojshctdrojvoflgrhv`fhtj`zszbsrtjot.
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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DKK)
diivfytiyjpozgj,m`iy h nrtDQDntrgx
jrdrojvoflgj`fvott mobyottostsgrtjogth ntrgx`jhtngfkof oiyos
jrdrojvoflgrh h
M
rrrrc T_M )(
szgfiubrgs rtj szorgftg doba`fts (\TK> \gfiubhr Thbuo Kol`np`sgtg`f) hb votgj, nhc
grr :
szgfiubrgs rtjojot arz`bcj diivfyaof.r
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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;
J@NUBO] NK_\GFKGJ[@QDIITFW
LNGDJ`npbox nkusgfkgjt`r diivfy ZHbbonhfiP;^
)( rLNGD r )( rcMH diivfy hz jrdrojvoflgf h sszos szgfiubrgs rtjt thrthbnhzzh,
H kghirhn hbjhbnhzsvhb taaszrs nubtgpbglgts pbus`j jrdrojvoflgch gs kotojtbmht.
ozoj jzb hz obs szgfiubrgs rtj nhxgnunmobyog cobzgj h shctjrdrojvoflgjht.
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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?
HbbonhfiZHbbonhfiP;^ szorgfttaaszrs nubtgpbglgtst hz cobzg,
m`iy h kghirhn`f h ns`kgjszgfiubrgs rtjfoj gs b`jbgsnhxgnunmobyo vhf.
Obnbotgboi hz obs szgfiubrgs rtjnhxgnunmobyo shctdrojvoflgt
coboz, h ns`kgj szgfiubrgs rtjnhxgnunmobyo jtszorosnubtgpbglgts shctrtjot coboz, hmhrnhkgj mr`nsz`r`s, sta.
J@NUBO] NK_\GFKGJ[@QDIITFW
Hz arf 9 nkuskotojtbmht, ozoj jzb h ns`kgj oiyszoros, h motokgj mr`nsz`r`s, h taagpokgi jtszoros nubtgpbglgts shctrtjot coboft.
Hz \TKdoba`ftsshbh n`kbgsn`kobb sjbz`ttshctvojt`rhggs noimhtr`zmhtj.
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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4
LNGD HBJHBNHS\G UBKH (1554)
Aod`is
Aod`i`tt rk.
Aod`i`tt rk hbhphkhthg.
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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9
Aod`i`tt rk nrsg sszobbts(JbhsszgjusONH\G\@DQDnrs)
LNGD HBJHBNHS\G UBKH (1554)
G@ FF
rc L)( M
44@F
44GF
r
DQDntrgx (j`npbox obon),
`utput b`jlgj sznh (
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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[hsj31554P1: Nohs.38: OxU`35 OxKg35 QoU 35 QoKg35
DQD Zn/s^/ZF^ Nhifgtuko-Droquofly
4. 8.981?5O+1 1.79
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G\N[B\3 NK@D N@SI\OIWOFBO[ DQD N[QG]
)(tdxJxLxN
JLNS 1)(
N`zisoiyofbot
Qofkszorntrgx
[WO]M 88)()( tvgtobg ntrgx
F
g g
M
ggg
g
[
gggF
g g
[
ggg
8*
*8*81
8
8
)(
yxyxyxM
DQD ntrgx [c ]O]M
88
)()(
\zgnnotrgjus rofkszorojro
F
g g
M
ggg
g
[
gggF
g g
[
ggg
cccc 8 *
*8*81
8
8
)(
xxxxxx
M
gnnnn`g` FFFFFFFF cc
1
8
111 )()( BO]M
Nrsojfb hz DQD ntrgx ls`fj`bkgj3
`F
gF
nF
vbhsznrsg p`ft`j sznh
nF
iorcosztsg p`ft`j sznhvgzsibt drojvoflghthrt`nfyahf rvfyosb nkus`jsznh
[]B 8
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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HS DQDN[QG] \SGFI_BQG\ Q[J \SOQGF[GDOBA@F[\H
)()()()( cccc MT_M
)()()()( 18 cccc Fuuu_ bodt sgfiubhr nhtrgx (ufgthry)),
)()()()( 18 cccc F sgfiubhr vhbuo nhtrgx (kghi`fhb),
)()()()( 18 cccc FvvvT rgimt sgfiubhr nhtrgx (ufgthry)),
)( c ntrgx h szgfiubrgs rtjojot lsjjof s`rrofkaof thrthbnhzzh
F
g
M
ggg cccc8
)()()()( vuM
ggggg`g` FF
M
FFFFFF cccc )()()()( T_M
HzONHiyhj`rbhtahfhz DQDntrgxls`fj`bkgj. H szgfiubrgsdoba`ftsgs hz hbaaghbhjbosz.
HS DQD-ntrgxjrdrojvoflgf vott mobyottostsg rtjfoj h doba`ftsh. H doba`fts tfyozg gs hzdiivfyog.
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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g
[
ggg
cc
xx
M8
)( )()()()( 888 cccc MvuM
Hm`b hz 8 gfkox coboftg hz obs szgfiubrgsrtjot.
ggg c gH roz`fhflghdrojvoflgm`z, ngj`r
hz DQD ntrgxjzobtmot hz hbaagsszodiissob
hz DQD ntrgxszgfiubrgs rtj szorgftgdoba`ftsh jzobtmot hz hbaag sszodiissob
H jt sszodiist sszomhs`fbtvh btmht, m`iy h shctdrojvoflgh jrfyozotaof
gx )(8 cu
h ahb`bkhbg u8szgfiubrvojt`rjzobtg h n`ko-smhpovojt`rt (shctvojt`rt)
h c`aa`bkhbgv8Mszgfiubrvojt`rjzobtg h n`kbgs rsztvtobgdhjt`r vojt`rt.
[
gg x
8
)(8 cM
v
h szgfiubrgs rtj rolgpr`jh jzobtg hzDQDdiivfy fovozct
))/(8( gchas )(8 c
JGONOB[ DQD
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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)()()()( 88 ggM
g ccccoDQD vMu
JGONOB[ DQD
oDQD> ofmhflok DQD~ jgonobt DQD
H LNGD(j`npbox nkusgfkgjt`r diivfy) t`vaadocbosztsoh szhjgr`khb`nahf3H szhjgr`khb`nahf kodgfgbcj hz hbaag diivfyt3
Hm`b3
jrdrojvoflgh vbt`z h tobcosdrojvoflghthrt`nfyahf
g Qiztott jrdrojvoflgh, nobyfoj rtjo
h aolsbt, kotojtbt shctdrojvoflgvhboiyofb.
)(),( 88 gg cc vu
j`fsthfs, obs szgfiubrgsvojt`r`j, hz gjrdrojvoflgf
Hz oDQDdiivfy oiy sjhbr rtjdiivfy.J`npbox rtj.Oiy \K@D tvgtobg diivfyt jzobt,
nobyfoj shctdrojvoflgch hz g.\K@D nkszoroj hbjhbnhzmhtj h
phrhntoraolsbsro.
)(LNGD
)( coDQDg
Obs nkusrh
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8/13/2019 EMA HUN 12 Csillapts becslse az FRF mtrix SVD felbontsval
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