Lab 5 Sistemas de Segundo de Orden
July 6, 2022 | Author: Anonymous | Category: N/A
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NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 1 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
G.
Xgoubar prehnses hed rntarke kn sn`udke erknd
Gkndtglghar bes paráontres qun harahtnrgzad a ud prehnse ][9
GG.
GGG.
]N]]
Bai. D³
=>
EICN[G\EX3
Lnhja3
@rupe
Adabgzar ba gdlbundhga gdlbundhga kn bes paráontres paráontres tïpghes kn u ud d prehnse ][9 ][9 nd ba hurva hurva harahtnrïstgha harahtnrïstgha
OA[NYGAB W NQ^G]EX3 ]H hed Baivgnw Apbghatgve snhedkUerknrUsystn snhedkUerknrUsystno o Hurva harahtnrïstgha kn prehnses ][9 knsarrebbakes nd hbasn.
IAXN [NØYGHA3
Oetgvahgød3 Bes Xgstnoas kn sn`udke erknd ‘ heoe bes kn prgonr erknd ‘ hedstgtuynd uda hbasn gopertadtn kn sgstnoas lïsghes3 jay ouhjes sgstnoas lïsghes qun sn heopertad (aprexgoakaondtn) heoe ud sgstnoa kn sn`udke erknd. Nc. [adquns kn aboahndaogndte kn bïqugkes nd a`gtahgød hed hapahgkakns tçroghas nd nb bgqugke y nd nb nbnondte habnlahter, oeterns KH hed kgdáogha kn aroakura y kgdáogha nbnhtreonhádgha, sgstnoas kn hedtreb rnabgondtakes ( Nc. Xgstnoas kn hedtreb kn prehnses y snrveonhadgsoes), hndserns y lgbtres pasaiaces kn sn`udke erknd.
Knshrgphgød knb sgstnoa a snr sgoubake3 Nd nstn baieraterge sn va a sgoubar ba rnspunsta kn ud sgstnoa kn sn`udke erknd adtn uda snñab kn prunia kn tgpe nshabød (kn oeke, qun ba rnspunsta tnoperab a ba sabgka knb sgstnoa ns habhubaka oatnoátghaondtn). Xn ja rnabgzake ba sgoubahgød usadke nb oçteke [ustgd hed ud tgnope kn nshabød kn =.=> sn`udkes. Nb oeknbe oatnoátghe knb sgstnoa kn sn`udke erknd sgoubake nd nstn baieraterge, ns ba nhuahgød kglnrndhgab3
Gk9y/kt9 + 9=ky/kt + =9y ? =9Fu
(Nq. 1)
kedkn3 F ns ba `adadhga ns nb lahter kn aoertg`uaogndte rnbatgve = ns ba lrnhundhga kn rnsedadhga daturab ^d oeke abtnrdatgve kn rnprnsndtar nstn oeknbe ns onkgadtn Bapbahn, tradsleroadke ba nhuahgød kglnrndhgab, y eitndgndke ba rnbahgød ndtrn ba sabgka y ba ndtraka (nd nb keogdge kn Bapbahn), para eitndnr ba ludhgød kn tradslnrndhga kn ba sabgka y hed rnspnhte a ba ndtraka u3
9=s + =9) j(s) ? y(s)/u(s) ? F =9/(s9 + 9
(Nq. 9)
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 9 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
G\.
Lnhja3
@rupe
]N]]
Bai. D³
=>
]YEHNKGOGND[E3
Nd varges kn bes ncnrhghges sg`ugndtns ustnk tgndn qun kar ud vaber para ba nb tgnope kn rnspunsta, [r. Nstn ns ud paráontre hedvndgndtn para harahtnrgzar huad rápgke ns ud sgstnoa kgdáoghe hed rnspnhte a su rnspunsta ab nshabød. [r sn knlgdn heoe nb tgnope qun teoa ba rnspunsta ab nshabød nd abhadzar nb / = (nstn varga hed rnspnhte a )
Gopahte kn F3
Acustn ^?1, ?=.9, =?9. \argn F.
F?-8
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 8 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
F?-9
F?-1
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda ; / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
F?=
F?13
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda > / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
F?9
F?8
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda < / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
Lnhja3
a. µHuáb µHuáb ns nb gopahte gopahte kn F nd ba ba rnspuns rnspunsta ta nstahged nstahgedarga5 arga5 F va a kntnrogdar nb vaber lgdab kn ba aopbgtuk kn ba sabgka.
i. µHuáb µHuáb ns nb gopahte gopahte kn kn F nd nb tgnope tgnope kn rnspun rnspunsta, sta, [r5 [r5 Dgd`ude F de alnhta nb tgnope kn rnspunsta, sg`un sgndke nb ogsoe.
Gopertadhga kn 3
Acustn ^?1, F?9, F?9, =?9. \argn .
-=.>
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 0 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
=
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda : / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
=.1
=.9
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 7 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
=.8
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 1= / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
=.;
=.>
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 11 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
=.<
=.0
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 19 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
=.:
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 18 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
=.7
1
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 1; / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
Lnhja3
@rupe
]N]]
Bai. D³
=>
1.9
a. µHua µHuabb ns nb gop gopah ahte te kn nd nb seirnpghe5 A ud onder nb seirnpghe ns oayer, ogndtras vaoes auondtadke nb seirnpghe kgsogduyn.
i. µHuab ns nb gopahte gopahte kn nd nb tgnope tgnope kn rnspunsta5 rnspunsta5 dgd`ude de alnhta ab tgnope kn rnspunsta
h. µHuab ns bn gopahte gopahte kn nd ba rnspunsta rnspunsta nstahgedar nstahgedarga5 ga5 Huadke gdhrnondtaoes nb sgstnoa eshgba ondes y ba rnspunsta nstahgedarga bbn`a oas rápgke.
k. µHuab ns nb gopahte gopahte kn nd ba nstaigbgkak nstaigbgkak knb sgstnoa5 sgstnoa5
Huadke onder a = nb sgstnoa eshgba y dudha sn nstaigbgza Huadke ns g`uab a = nb sgstnoa kn g`uab oadnra eshgba y dudha sn nstaigbgza, ns gdnstaibn Ab snr =221 nb sgstnoa prnsndta ud seirnpghe nd ba rnspunsta ogndtras oas va hrnhgndke nsn seirnpghe va kgsogduyndke. Ab snr g`uab a 1 nb sgstnoa ns hrïtghaondtn aoertg`uake, ya de prnsndta eshgbahgedns.
Gopertadhga kn =3
Acustn ^?1, F?9, F?9, ?=.9. \argn =. P= ? =
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 1> / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
P=? =.>
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 1< / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
P=? 1
P= ? 1.>
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 10 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
Pe ? 9
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 1: / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
a. µHua µHuabb ns nb gop gopah ahte te kn
=
Lnhja3
@rupe
]N]]
Bai. D³
=>
nd nb tgnope kn rnspunsta5
A ud we oayer oayer nb tgnope tgnope kn rnspunsta rnspunsta ns oas p pnqunñe nqunñe
i. µHua µHuabb nnss nb nb ggop opaht ahte e kn kn
=
nd ba rnspunsta nstahgedarga5
Pe jahn qun dunstre sgstnoa sn nstaigbghn ouhje oas rapgke
h. µHua µHuabb ns nb gop gopah ahte te kn
=
nd nb seirnpghe5
Dgd`ude de alnhta ab seirnpghe
k. Acustn ^ hedtgdu hedtgduaondt aondtnn jahga arrgia arrgia y aiace (heoe (heoe sg lunra uda snñab snñab sndegk sndegkab) ab) para vaberns vaberns `radkns y pnqunñes kn =. µHøoe alnhta = nd ba vnbehgkak knb sgstnoa5 ]ara we? =.9
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 17 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
]ara we? 1.:
Ab gdhrnondtar we ba rnspunsta rnspunsta kn ba sabgka lrndtn a ba vargahged vargahged kn ^ ns oas rapgka
Gopertadhga Gopertadh ga kn ba abtura a btura knb nshabød n shabød ^3
Acustn F?9, ?=.9, =?9. \argn ^
a. µHuáb µHuáb ns nb gopa gopahte hte kn ^ nd ba rnspu rnspunsta nsta nstahg nstahgedar edarga5 ga5 Dgd`ude, ^ Xebe alnhta a ba aopbgtuk kn dunstra snñab, lgdabondtn ba snñab kn sabgka snrá ba ogsoa nd nb ogsoe tgnope.
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 9= / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
^? =
^? 1
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 91 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
^?9
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 99 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
\.
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
H^NX[GEDAYGE 1. Hedsg`dn ba Nhuahgød Nhuahgød kglnrndhgab kglnrndhgab harahtnrïstgha kn ud sgstnoa kn kn sn`udke sn`udke erknd. erknd.
9. Hedsg`dn Hedsg`dn ba tradsl tradsleroa eroaka ka kn Bapbah Bapbahn n kn ba nhuahgød nhuahgød adtnrge adtnrger. r.
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 98 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
Lnhja3
@rupe
]N]]
Bai. D³
=>
8. Bun`e Bun`e kn apbghar apbghar ba snñab kn prunia prunia kn nshabød nshabød.. µHuáb snrá snrá ba ludhgød ludhgød nd bes keogdges keogdges X y t para ba sabgka W(X).
Y(X)
W(X) @(X)
;. Gdvnst Gdvnstg`u g`un n y hedsg` hedsg`dn dn bas nhuahg nhuahgedn edns s nd nb keogdg keogdge e tnope tnoperab rab kn bas bas rnspu rnspunst nstas as kn ud sgstnoa kn sn`udke erknd adtn uda snñab kn prunia tgpe nshabød.
Xeirn aoertg`uaka
Onkgadtn lrahhgedns parhgabns sn eitgndn ba sg`ugndtn nxprnsgød kedkn x(t) ns dunstra sabgka bun`e kn apbghar nb nshabød
Kedkn
y
sed bes pebes qun sn `ndnrad huadke3
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 9; / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
Lnhja3
@rupe
]N]]
Bai. D³
=>
Hrïtghaondtn aoertg`uaka Onkgadtn lrahhgedns parhgabns x(t) snñab kn sabgka bun`e kn apbghar nb nshabed kedkn Pd ns Pe y N?1
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 9> / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Deta3
Lnhja3
@rupe
]N]]
Bai. D³
=>
Xui aoertg`uaka Onkgadtn lrahhgedns parhgabns x(t) vgndn a snr ba snñab kn sabgka bun`e kn apbghar nb nshabed, Pd ns dunstre Pe y =2N21
Y(X)
W(X)
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 9< / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
NX[YA[N@GAX KN HED[YEB A^[EOA[GHE
Dre. KK-1=< ]á`gda 90 / <
[noa 3
]YEHNXEX HED YN[AYKEX KN XN@^DKE EYKND Deta3
App./Deo.3HAYBEX NK^AYKE \AXQ^NS IEBAÑEX
Lnhja3
@rupe
]N]]
Bai. D³
=>
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