자동제어 | 뒤짐보상기, 앞섬보상기 응답에 대한 결과 |

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작성자 cemtool 작성일14-04-22 13:35 조회36,412회 댓글13건

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다음과 같은 전달함수를 가진 시스템을 생각해 보자.

$G-p(s)=\frac{2500}{s(s+25)}$

(1) 주어진 전달함수를 z영역에서의 함수로 변환해보자. 단, 0차 홀드를 포함하고, 샘플링주기 T=0.01초이다.

(2) 보상되지 않은 시스템과 뒤짐보상기 $G_c(z)=0.1468\frac{z-0.99}{z-0.9985}$ 로 보상한 시스템, 그리고 앞섬보상기 $G_c(z)=\frac{8.7776z-6.7776}{1.3888z+0.6112}$ 로 보상한 시스템의 단위계단응답을 구해보자. 또, 각각에 대하여 Bode 선도를 그리고, 결과를 설명해보자.

«풀이»

(1) z변환

ex9_2.cem

// z-transformation with zero order hold(zoh)
num = 2500;
den = [1 25 0];
T = 0.01;
[numz, denz] = c2dm(num, den, T)

numz  =  
      0.0000    0.1152    0.1060
    
denz  =  
      1.0000   -1.7788    0.7788

그러므로,

$G_{ho}G_p(z)=\frac{0.1152z+0.106}{z^2-1.7788z+0.7788}$

(2) 보상되지 않은 시스템과 뒤짐보상기, 앞섬보상기로 보상한 시스템의 단위계단응답과 Bode 선도

ex9_2.cem

/* Unit step response and Bode plot */
T = 0.01;
// Uncompensated system
numu = [0.1152 0.106];
denu = [1 -1.7788 0.7788];
// System with Lag compensator
numc1 = conv(numu, 0.1468*[1 -0.99]);
denc1 = conv(denu, [1 -0.9985]);
// System with Lead compensator
numc2 = conv(numu, [8.7776 -6.7776]);
denc2 = conv(denu, [1.3888 0.6112]);
// Plot step response 
t = 0:80;
yu = dstep(numu, denu+[0 numu], 81);
yc1 = dstep(numc1, denc1+[0 numc1], 81);
yc2 = dstep(numc2, denc2+[0 numc2], 81);
plot(t,yu, t,yc1, t,yc2)title("Unit-Step Responses of Compensated and Uncompensated Systems")xtitle("Number of Sampling Period T")ytitle("Outputs")// Bode plotw = logspace(0, 5, 500);
[numwu, denwu] = d2cm(numu, denu, T, "tustin");
[numwc1, denwc1] = d2cm(numc1, denc1, T, "tustin");
[numwc2, denwc2] = d2cm(numc2, denc2, T, "tustin");
[Mu, Pu] = bode(numwu, denwu, w);
[Mc1, Pc1] = bode(numwc1, denwc1, w);
[Mc2, Pc2] = bode(numwc2, denwc2, w);
figureholdon
semilogx(w, 20*log10(Mu))semilogx(w, 20*log10(Mc1))semilogx(w, 20*log10(Mc2))title("Magnitude of Compensated and Uncompensated Systems")xtitle("Frequency(rad/sec)")ytitle("Magnitude(dB)")figureholdon
semilogx(w,Pu)semilogx(w,Pc1)semilogx(w,Pc2)title("Phase of Compensated and Uncompensated Systems")xtitle("Frequency(rad/sec)")ytitle("Phase(degrees)")

그림 9-의 단위계단응답 곡선을 보면 앞섬보상기를 사용한 경우에는 최대오버슈트, 상승시간, 정착시간 모두 개선되었다. 그러나, 뒤짐보상기를 사용한 경우는 최대오버슈트는 개선되었으나 상승시간이 길어졌다. 최대오버슈트만 본다면 뒤짐보상기가 앞섬보상기보다 더 좋은 특성를 나타낸다. 그림 9-의 Bode 선도를 보면 앞섬보상기보다는 뒤짐보상기를 사용했을 때 위상여유가 더 커졌다. 그러나, 뒤짐보상기를 사용한 경우에는 대역폭이 줄어들었다.

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minerva님의 댓글

minerva 작성일 19-06-29 16:31

wuyan37님의 댓글

wuyan37 작성일 19-07-22 01:52

비밀글 입니다.

thelma님의 댓글

thelma 작성일 19-08-05 12:41

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ernest님의 댓글

ernest 작성일 19-09-08 15:41

jerry님의 댓글

jerry 작성일 19-11-13 23:00

jerry님의 댓글

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http://www.uggslipperscanada.ca/ UGG
http://www.offwhite-hoodie.us/ Off White Shoes
http://www.offwhiteshoes.org.uk/ Off White
http://www.pandora-canada.ca/ Pandora Charms
http://www.supremeclothing-uk.co.uk/ Supreme UK
http://www.skechersoutletcanada.ca/ Skechers Boots
http://www.pandora-charms.ca/ Pandora Jewelry
http://www.air-max.fr/ Shaussure Nike
http://www.northface-jacke.de/ The North Face Jacke
http://www.riverislandclothes.us/ River Island Dresses
http://www.thenorth-face.fr/ Veste North Face
http://www.saucony-shoes.us/ Saucony Shoes
http://www.scarpevans.eu/ Vans
http://www.the-northface.us/ North Face
http://www.riverislandsale.co.uk/ River Island Coats
http://www.superdryhoodie.co.uk/ Superdry Coats
http://www.prada-purse.us/ Prada
http://www.swarovskicrystaloutlet.us/ Swarovski Outlet
http://www.yeezys.eu/ Yeezys
http://www.vansshoes-outlet.us/ Vans Outlet
http://www.conversefemme.fr/ Converse Blanche
http://www.vibramshoes.us/ Vibram 5 Fingers
http://www.supremeclothingshop.us/ Supreme
http://www.salvatore-ferragamo.co.uk/ Salvatore Ferragamo
http://www.pumaschuhedamen.de/ Puma Suede
http://www.the-northface.org.uk/ North Face Backpack
http://www.underarmourtracksuit.co.uk/ Under Armour UK
http://www.sperryoutlet.us/ Sperry Outlet
http://www.vans-canada.ca/ Vans Slip On
http://www.doudounethenorthface.fr/ Manteau North Face
http://www.scarpesaucony.eu/ Scarpe Saucony Outlet
http://www.poloralph-lauren.us/ Ralph Lauren Polo Shirts
http://www.nikeschuheairmax.de/ Air Max
http://www.salomonshoes.us/ Salomon Boots
http://www.scarpeadidas.eu/ Yeezy Boost 350 V2
http://www.off-whiteshoes.us/ Off White Shoes
http://www.adidasyeezyschuhe.de/ Yeezy Schuhe
http://www.bapehoodieoutlet.us/ Bape Jacket
http://www.adidasschuheherren.de/ Adidas Yeezy
http://www.vansshoes.org.uk/ Vans Shoes
http://www.thenorthface-jacke.de/ The North Face Rucksack
http://www.yeezymafia.us/ Adidas Yeezy
http://www.pandorajewelryofficialsite.us/ Pandora Bracelet
http://www.borsemichaelkors.eu/ Michael Kors Borse Outlet
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http://www.skecherssandals.co.uk/ Skechers Shoes
http://www.sperry.us.org/ Sperrys Women
http://www.timberlandbootsstore.us/ Timberland Outlet
http://www.reebok.org.uk/ Reebok Sneakers
http://www.converseallstar.fr/ Converse Blanche
http://www.pandora-outlet.us/ Pandora Jewelry
http://www.pandoraringsuk.co.uk/ Pandora Rings
http://www.pandoracharms-outlet.us/ Pandora Outlet
http://www.michaelkorsborse.eu/ Borsa Tracolla Michael Kors
http://www.vans-shoes.ca/ Vans Canada
http://www.riverislanddresses.co.uk/ River Island Clothes
http://www.underarmour.us.com/ Under Armour Sweatshirt
http://www.supremehoodiestore.us/ Supreme Store
http://www.tomsboots.us/ Toms
http://www.pumafentyshoes.us/ Puma

karina님의 댓글

karina 작성일 20-01-13 01:35

http://www.adidas-yeezy.de/ Yeezy Schuhe
http://www.vansshoes.org.uk/ Vans Slip On
http://www.yeezys.eu/ Scarpe Adidas
http://www.reeboks.us/ Reebok Outlet
http://www.swarovskicrystalcanada.ca/ Swarovski Crystal
http://www.puma-canada.ca/ Puma Canada
http://www.pumaschuhedamen.de/ Puma Schuhe Damen
http://www.supremeclothingcanada.ca/ Supreme Canada
http://www.pandoracharms-outlet.us/ Pandora Bracelet
http://www.borsemichaelkors.eu/ Borse Michael Kors
http://www.prada-purse.us/ Prada
http://www.timberlandshoes.co.uk/ Timberland Shoes
http://www.salvatoreferragamo.org.uk/ Salvatore Ferragamo
http://www.ultra-boost.us/ Ultra Boost 4.0
http://www.skecherssandals.co.uk/ Skechers
http://www.adidasyeezyschuhe.de/ Adidas Schuhe
http://www.underarmourtrainers.co.uk/ Under Armour Shoes
http://www.pandorajewelryofficialsite.us/ Pandora Charms
http://www.riverislandsale.co.uk/ River Island Clothes
http://www.thenorthface-jacke.de/ The North Face Schuhe
http://www.stevemaddensneakers.us/ Steve Madden Sandals
http://www.skechersoutletcanada.ca/ Skechers
http://www.yeezymafia.us/ Yeezy Mafia
http://www.scarpevans.eu/ Vans Slip On
http://www.uggslippersoutlet.us/ UGGS On Sale
http://www.supremehoodiestore.us/ Supreme Sweatshirt
http://www.toryburchhandbags.us/ Tory Burch Bags
http://www.uggbootsstore.us/ UGGS For Men
http://www.salomonshoes.org.uk/ Salomon Running Shoes
http://www.prada-canada.ca/ Prada Canada
http://www.ugg-uk.co.uk/ UGG
http://www.chaussurenikeofficiel.fr/ Chaussure Nike
http://www.scarpenikeairmax.eu/ Nike Air Force
http://www.swarovskicrystaloutlet.us/ Swarovski Crystal
http://www.pradabags.org.uk/ Prada Handbags
http://www.the-northface.org.uk/ North Face Jacket
http://www.bapehoodieoutlet.us/ Bape Outlet
http://www.scarpe-hogan.eu/ Hogan Donne
http://www.pumarihannafenty.us/ Puma Rihanna
http://www.sperryoutlet.us/ Sperry
http://www.ralphlaurenshirt.org.uk/ Ralph Lauren Polo Shirts
http://www.scarpeadidas.eu/ Adidas Yeezy
http://www.toryburch-outlet.us/ Tory Burch Purse
http://www.swarovskijewelryoutlet.us/ Swarovski Crystal
http://www.vansshoes-outlet.us/ Vans Slip On
http://www.adidasschuheherren.de/ Adidas Herren
http://www.sperry.us.org/ Sperrys Men
http://www.puma.org.uk/ Puma
http://www.schuhe-nike.de/ Nike Air Max
http://www.supremehoodie.org.uk/ Supreme Jacket
http://www.thenorth-face.fr/ Doudoune The North Face
http://www.yeezychaussureadidas.fr/ Adidas
http://www.anellipandora.eu/ Collane Pandora
http://www.timberlandbootsstore.us/ Timberland
http://www.riverislandclothes.us/ River Island Jeans
http://www.pradapurse.us/ Prada Handbags
http://www.skechers-boots.us/ Skechers
http://www.yezzys.org.uk/ Yeezy
http://www.yeezyboost350.fr/ Yeezy Boost 350 V2
http://www.scarpesaucony.eu/ Scarpe Running
http://www.filaschuhe.de/ Fila Boots
http://www.pandora-charms.ca/ Pandora Jewelry
http://www.pumafentyshoes.us/ Puma
http://www.puma-shoes.co.uk/ Puma Suede
http://www.riverislandshoes.co.uk/ River Island Dresses
http://www.offwhite-hoodie.us/ Off White Hoodie
http://www.balenciagaus.us/ Balenciaga US
http://www.bijouxpandora2019.fr/ Bijoux Pandora
http://www.the-northface.us/ North Face Coats
http://www.riverislanddresses.co.uk/ River Island Clothes
http://www.vans-canada.ca/ Vans Old Skool
http://www.pandora-canada.ca/ Pandora Rings
http://www.ralphlauren-poloshirts.us/ Ralph Lauren
http://www.pandorajewelryoutlet.us.org/ Pandora
http://www.superdryjacket.us/ Superdry Jacket
http://www.underarmour.us.com/ Under Armour Shirts
http://www.pandora-outlet.us/ Pandora Rings
http://www.saucony-shoes.us/ Saucony Running Shoes
http://www.supremeclothing-uk.co.uk/ Supreme Outlet
http://www.offwhiteshirt.us/ Off White Shoes
http://www.reebok-classic.us/ Reebok Sneakers
http://www.reebok.org.uk/ Reebok Classic
http://www.tommyhilfigerdresses.us/ Tommy Hilfiger
http://www.converseallstar.fr/ Converse Pas Cher
http://www.pandorajewelrycom.us/ Pandora Jewelry
http://www.supremeclothingshop.us/ Supreme UK
http://www.redbottomschristianlouboutin.us/ Christian Louboutin Shoes
http://www.underarmourtracksuit.co.uk/ Under Armour UK
http://www.offwhiteshoes.org.uk/ Off White Hoodie
http://www.uggslipperscanada.ca/ UGG Outlet
http://www.conversefemme.fr/ Converse
http://www.michaelkorsborse.eu/ Michael Kors Borse
http://www.vans-shoes.ca/ Vans
http://www.bottes-ugg.fr/ Botte UGG
http://www.pandoraringsuk.co.uk/ Pandora Charms
http://www.adidas-yeezy.fr/ Yeezy Boost
http://www.suicoke-sandals.us/ Suicoke Sale
http://www.tommyhilfiger-outlet.us/ Tommy Hilfiger Sweatshirt
http://www.valentinosandals.us/ Valentino Sneakers
http://www.vibramshoes.us/ Vibram 5 Fingers
http://www.vibramshoes.us.com/ Vibram Five Fingers
http://www.salomonshoes.us/ Salomon Hiking Boots
http://www.superdryjackets.co.uk/ Superdry
http://www.northface-jacke.de/ North Face Jacke
http://www.underarmour-outlet.ca/ Under Armour Outlet
http://www.superdryhoodie.co.uk/ Superdry Coats
http://www.tomsboots.us/ Toms Shoes
http://www.air-max.fr/ Shaussure Nike
http://www.scarpehogan.eu/ Hogan
http://www.doudounethenorthface.fr/ Manteau North Face
http://www.nikeschuheairmax.de/ Nike Schuhe
http://www.salvatore-ferragamo.co.uk/ Salvatore Ferragamo Shoes
http://www.off-whiteshoes.us/ Off White Belt
http://www.poloralph-lauren.us/ Ralph Lauren
http://www.superdryclothing.us/ Superdry

sandra님의 댓글

sandra 작성일 20-02-18 05:38

http://www.karenmillen-dresses.org.uk/ Karen Millen Outlet
http://www.adidas-yeezy.us.org/ Yeezy Shoes
http://www.christian-louboutin.us.org/ Christian Louboutin Sneakers
http://www.birkenstock-sandals.us.org/ Cheap Birkenstocks
http://www.hydroflasksale.us.org/ Hydro Flask Stickers
http://www.montblanc-pens.org.uk/ Mont Blanc Ballpoint Pen
http://www.juicycouture.us.org/ Juicy Couture Bags
http://www.air-max.org.uk/ Nike Air Max
http://www.supreme-clothing.ca/ Supreme
http://www.suicokesandals.ca/ Suicoke Moto
http://www.balenciagashoes.ca/ Balenciaga Canada
http://www.nikeshox.us.org/ Nike Shox
http://www.adidas.us.org/ Adidas
http://www.katespadepurse.us.com/ Kate Spade
http://www.curry7.us.com/ Curry 6
http://www.calvin-klein.us.org/ Calvin Klien Store
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http://www.lecoqsportifshoes.us/ Le Coq Sportif Shoes
http://www.bosesoundlink.ca/ Bose
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http://www.longchampsbags.us/ Longchamp Outlet
http://www.pandoracanadacharmsjewelry.ca/ Pandora
http://www.louboutinshoes.ca/ Red Bottom Shoes
http://www.ferragamoshoesoutlet.us.org/ Ferragamo
http://www.monclers.co.uk/ Moncler Polo
http://www.adidasnmd.us/ Adidas Nmd R1
http://www.pandorajewelrycharms.ca/ Pandora
http://www.air-max.us.org/ Nike Air Max
http://www.hoganshoes.ca/ Hogan Shoes
http://www.aldoshoes.us.com/ Aldo Sandals
http://www.hydroflasksale.ca/ Hydro Flask
http://www.pandoracharmsonline.us/ Pandora Online
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http://www.katespade-bags.us.com/ Kate Spade Handbags
http://www.newbalanceshoes.us.com/ New Balance 574
http://www.nikeoffwhite.co.uk/ Nike Off White
http://www.ferragamo-shoes.org.uk/ Salvatore Ferragamo
http://www.asicsrunningshoes.us.com/ Asics Gel Kayano
http://www.hydro-flask.ca/ Hydro Flask
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http://www.air-max270.us.org/ Air Max 270
http://www.beatssolo3.ca/ Beats Studio 3
http://www.ecco-canada.ca/ Ecco Golf Shoes
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http://www.beatssolo3wireless.us/ Powerbeats Pro
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http://www.northfacejackets.us.com/ North Face Jacket
http://www.adidassuperstar.us.org/ Adidas Superstar Shoes
http://www.christian-louboutin.ca/ Christian Louboutin Canada
http://www.uggsbootsforwomen.us.com/ Uggs For Women
http://www.bosesoundlink.org.uk/ Bose
http://www.fjallravenkankenuk.org.uk/ Fjallraven Backpack
http://www.parajumper.us.com/ Pjs Jacket
http://www.coachhandbags.us.com/ Coach Purses
http://www.christianlouboutinredbottomshoes.us/ Christian Louboutin Shoes
http://www.pumashoescanada.ca/ Fenty Puma
http://www.curry7.ca/ Curry 7
http://www.brooksshoes.us.org/ Brooks Ghost
http://www.karenmillendressesoutlet.co.uk/ Karen Millen Coats
http://www.michaelkorshandbags.ca/ Michael Kors Bags
http://www.ecco-shoes.us.org/ Ecco Sandals
http://www.katespadebagscanada.ca/ Kate Spade
http://www.merrellshoes.us.com/ Merrell Boots
http://www.longchamp-bags.ca/ Longchamp Purse
http://www.coach-bags.co.uk/ Coach
http://www.pandorajewelry-store.us/ Pandora
http://www.monclercanada.ca/ Moncler Canada
http://www.riverislanddresses.org.uk/ River Island Sale
http://www.columbiajackets.us.com/ Columbia Fleece Jacket
http://www.fjallravenbackpack.us.org/ Fjallraven Kanken Mini
http://www.newbalance.us.org/ New Balance 990
http://www.ralphlaurendresses.ca/ Ralph Lauren Outlet
http://www.birkenstocksandalssale.ca/ Birkenstock
http://www.conversecanada.ca/ Converse
http://www.thenorthfacejackets.ca/ North Face Backpack
http://www.goldengoose-sneakers.org.uk/ Golden Goose
http://www.pandorarings.us.org/ Pandora Charms
http://www.armaniclothing.us/ Armani Shoes
http://www.katespadehandbags.co.uk/ Kate Spade
http://www.woolrichparka.us/ Woolrich Store
http://www.pandoracanada-jewelry.ca/ Pandora Charms
http://www.airmax-720.us.com/ Nike Air Max
http://www.asicsrunningshoes.ca/ Asics Shoes
http://www.boseheadphones.us.org/ Bose Headphones
http://www.monclerjackets.us.com/ Moncler T Shirt
http://www.pandoracanada-charms.ca/ Pandora Canada
http://www.hogan.us.com/ Hogan Sneakers
http://www.jimmychoo-shoes.us/ Jimmy Choo Flats
http://www.cartierlovering.ca/ Cartier Love Ring
http://www.offwhiteshoes.us.org/ Off White Shoes
http://www.keds-shoes.us/ Keds Slip Ons
http://www.conversetrainers.org.uk/ Converse Trainers
http://www.belstaffjackets.org.uk/ Belstaff Overshirt
http://www.fjallravenkankenbackpack.co.uk/ Fjallraven Kanken
http://www.bape-hoodie.co.uk/ Bape Shirt
http://www.ed-hardy.us/ Ed Hardy Purses
http://www.armani.us.org/ Armani Shoes
http://www.brooksshoes.us.com/ Brooks Beast
http://www.ecco.us.org/ Ecco Boots
http://www.belstaff.org.uk/ Belstaff Jacket
http://www.northfacecoat.co.uk/ North Face Jacket
http://www.brooksshoes.ca/ Brooks Ghost
http://www.geox-shoes.us/ Geox
http://www.coachbagsoutlet.ca/ Coach Bags
http://www.kedssneakers.us/ Keds Rain Boots
http://www.lebron17.ca/ Lebrons James Shoes
http://www.aldo.us.com/ Aldo Shoes Women
http://www.dieselunderwear.us/ Diesel
http://www.brooksshoes.org.uk/ Brooks Running Shoes
http://www.bape-clothing.us.com/ Bape Hoodie
http://www.parajumperjacket.us.com/ Pjs Jacket
http://www.skechersshoesoutlet.us.com/ Skechers
http://www.niketrainersoutlet.org.uk/ Air Max 270
http://www.fendishirt.us/ Fendi Shirt
http://www.adidastrainersoutlet.org.uk/ Adidas Shoes
http://www.redbottomshoesforwomen.us/ Christian Louboutin
http://www.beatsheadphones.us.org/ Wireless Beats
http://www.montblancpens.ca/ Mont Blanc
http://www.vansoldskool.ca/ Vans Shoes
http://www.jordan11.us.org/ Jordan Shoes
http://www.offwhite-hoodie.ca/ Off White Belt
http://www.asics-trainers.co.uk/ Asics Trainers
http://www.northfacecanada.ca/ North Face Vest
http://www.jordan-shoes.org.uk/ Jordan 11
http://www.fjallravenkankencanada.ca/ Fjallraven
http://www.adidas-nmd.ca/ Adidas Nmds
http://www.nikeoutletcanada.ca/ Nike Canada
http://www.uggs-onsale.us/ Uggs For Women
http://www.asicsshoes.us.com/ Asics Shoes
http://www.hoganshoesoutlet.co.uk/ Hogan Shoes Outlet
http://www.clarksshoescanada.ca/ Clarks Sandals
http://www.bose-headphones.ca/ Bose Headphones
http://www.pandoracharmsofficial.us/ Pandora Charms
http://www.mcmhandbags.us.com/ Mcm Purse
http://www.champion-hoodie.us.com/ Champion Clothing
http://www.birkenstock-canada.ca/ Birkenstock Sandals
http://www.calvinklein-canada.ca/ Calvin Klein Dresses

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