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(23) 1 24365798:<;=7>;=?A@ BDCFE<GA? ;*H ;=:JIK:[email protected]                     . C p1. y1 = h1 (x) = αx C p11 + υ1 (t) 3 C p1. y2 = h2 (x) = αy C p21 + υ2 (t) 3 ... C pn y2n−1 = h2n−1 (x) = αx C p1n + υ2n−1 (t) C pn. OQPSRUTWV. 3. y2n = h2n (x) = αy C p2n + υ2n (t). X Y[ZZ[\^]W_a` bcbcZd^` YbcZ[bcec` fghbciW\^ihY4gkjF`Y[iml ZnepokY[Z[\^`Ng_c` u `6Y4gqjF`Y[i=lZneporg\^]WiWY4g_c` Z[fts^_c`bubc`*gYv_ciWwAie R ` bciW\^iqs^_ciml` bcbcZxgyY[` geuiW_aZ u ]Fgyz^bcbuZ4g\^Zgft`d^Z4g\=z^Y[Y4gωgNjW∈`\meuNZ f(0,g.euQ)_cZ[lZd^υZ l∈iNjygyN_aZL(0, g\^{NR) gt_cZ[bcsA`&eceuZnjygyft`\meu` Q ` R R | Y=bcZ[bcec` fgv_ugsDs^_c`bc`\mepgvY4gvd^Z[\DgyftZ[l gvd^` Y[Y[`J}Q` geuz^_c`bZ[\%z^\Dgvec` _a\0gvbciWY[Z[dDgyY[`~gyYm_ciWwAie gybcbuz^ft`\^d^il€^`Z[Y~_aiWwAiye‚bcZ4gƒd^ZJeuZ[sAiz^\^Z[lZ[l Y[i`l€^`buZ„f%z^iNjygƒbczkz^\qs^Z4gy\^i O bcZ \^iyepg‚Z[\S} g.eceuZ†l€^`Y4g%l imiW_cd^Z[\Dg.epg p _cZ[fgy\^`‡l iybcepg\meu` VRJˆ `z^bcl Znec`ftZ[buz^_cgeu`bciW\^i Y[`‰limiW_cd^Z[\Dgec` d^`Y4Y[`%}<`Ng.euz^_c`‚buz^Ys^Z4gy\^iZ[ftfg]WZ[\^` O _c`Y4gy{Z[iW\^` s^_ciWbcsA`&eceuZ[l gSŠ^jW`(xdDZ ,sDygy_ )R .T=.R[‹. V(xR , y ) | Y bcZ[bceu`fgt` Œ RLO PSR[‹ Vc `Œ RLO P=RUT V Ž iWbcbu`_ajygw^Z[Y4`'sA`_vz^\\=z^ft`_ciŒ=zDgY[buZ4gybcZ d^Z }Q` g. euz^_c`y‘JbcZ$_aZ[fg\^dDgtgyY[Y4g‚’D\D`d^` Y l gys^ZneuiWY[itsA`_Y4g‰d^Z[fiybceu_cgy{Z[iW\^` O jW` d^Z sDgy_ R PSR “ VR 3. 1. 2. C 1 2. 1. ”•c–. 1. n. n. —A˜š™"›œ˜œ‰žŸ'  ¡¢%œ¤£œ›>¥›&ž$¦K¢. § ` Y[Y[`bcZ[f‚z^Y4g{ Z[iy\DZ„gyw^w^Z4gyftis^_c`bciZ[\qliW\^bcZ[d^` _ug{ Z[iy\^`z^\>jW`ececiW_c`d^Z„baepgeuiƒd^Z P }Q` geuz^_c`b R | Y buZ[baeu`fgtd^Z[bcl_c`&euZ[{ { gecit€0g‰Œmz^Z[\^d^Z$Y4g‰bc` ]yz^` \Feu`}<iW_cfgS‘                                 . C 1 p1 [k C 1 p2 [k C 1 p3 [k C 2 p1 [k C 2 p2 [k C 2 p3 [k C 3 p1 [k C 3 p2 [k C 3 p3 [k. + 1] =C + 1] =C + 1] =C + 1] =C + 1] =C + 1] =C + 1] =C + 1] =C + 1] =C. p11 [k] +C p13 [k]u2 [k] p12 [k] p13 [k] − u1 [k] −C p11 [k]u2 [k] p21 [k] +C p23 [k]u2 [k] p22 [k] p23 [k] − u1 [k] −C p21 [k]u2 [k] p31 [k] +C p33 [k]u2 [k] p32 [k] p33 [k] − u1 [k] −C p31 [k]u2 [k]. OQPSR PFV. d^iNjF` u [k] ` u [k] buiy\^i]WY[Z Z[\^]W_c`bubcZ `%_ugs^sD_a` bc`\mepg\^iY[ibus0iWbaepgyft`\meuiY[Z[\^` gy_a`%` gy\^]WiyY4gy_c`vd^`Y0_ciWwAie~\^`Y[Y ¨ Z4\Feu`_ajygyY[Y[i©d^Z0l gyfts^Z[iW\Dgyft`\meci^Š=ieceu`\=zSeuZ0dDg]WY[Z0`\^li=d^`_ R ª« « 2!1 2 ¬®­p¯°± ²F³&¯<¯4±²F³&¯<¯[´ƒ²µ<¶A´y°‚µ¸·u´ƒ²m³¯<¯4³¹³u´yº »=¼u³‰»=º¸µL¯½µ[¾p¾N´º¿±%ÀD³¼‚¯[´‚ÀA¼u³u²yµ[¾&µ¸±¶†³ ¶†³&¯L¯cÁ ÂJÃÄÆÅ©ºÇ´¶DºÇ±'ÀAµ<ȃµ<°xÀ0¼u³p·&µ4ÉN±Ê»^´y¶DºÇ±'À0µ<È9Å%˳&¯4±N·p³©µ<¯ ¼u±Ẃ±º~¼µ4ÉÇÀ^³&º º¿±´¯<¯[´‡¹p¼u³Í Ê»D³&¶=¾ ´²µv·c´y°xÀ0µ¸±¶A´°³&¶^º¿±²F³&¯ É&µ4É&ºÇ³&°t´FÎÏ©³&¯0ÀA¼u±WÌ&¯4³&°t´³pÉ ´y°‚µ<¶A´º¿±µ<¯ºÇ³&°xÀD±²µ ·u´y°vÀAµ¸±¶0´y°³¶DºÇ±Å%²F´yºÇ±²F´y¯F¹u¼c´y°³ÍǼc´yºÇ³‚²F³&¯<¯[´º¿³¯4³p·u´y°³&¼c´FÎ 1AÐ 1. 2.

(24) Ñ ÒJӆÔ.ÕQÖ9×>Ø Ù=ÚQÚ<ÙÛWÜ Ü0ÝØÕQÞ ×SÔNÙØ Ù=ÚQÚQكßàÙm×SÔ.á Ý.ÙÕQÞâÔ ÙmÝÞ ×>ãÜAÚQÕQØ ×DÚ<Ù×DڄÝ.Ü0ä!ÜDÔ ÛWÜAÞråKÚLÔNÝNÜkØÕ~æ×DÚQÖ9×0Þ çèéêmë0ìímîuïtéað[ñWëDìyécòDì‰ó[è'ë^ôcõðnîuè'ôcð$öDìS÷  C p1 [k] 1  1  z [k] = α x C p1 [k]  1  3  C p1 [k]   1 2  z [k] = α  y C p1 [k] 2   3  C p2 [k]   2 1 . ø ùSú ûmü. z1 [k] = αx C p2 [k] 3. C p2 [k] 2  2  z [k] = α y  C p2 [k] 2  3   C p3 [k]  3 1   z [k] = α x C p3 [k]  1  3  C p3 [k]   2  3. z2 [k] = αy C p3 [k]. ý ó[ðþWìyõïyÿDð4ìí^ð$òDì‰ëSîuð[ó[ð Nìécè'í^èó DónîuécïtôcïWí^ïS÷ . .        ∂f = A=  ∂S      . 1 0 −u2 [k] 0 0 0 0 0 0. 0 u2 [k] 0 1 0 0 0 1 0 0 0 1 0 0 0 0 0 −u2 [k] 0 0 0 0 0 0 0 0 0 W =. .       ∂h  = H=  ∂S      . C p1. 0 0 0 0 0 0 0 0 0 0 0 u2 [k] 1 0 0 0 1 0 0 0 1 0 0 0 0 0 −u2 [k]. 0 0 0 0 0 0 0 0 0 0 0 0 0 u2 [k] 1 0 0 1.                . ∂f = I(9) ∂ω. αx C p1 3. 0. 1 −αx C p12. 0. 0. 0. 0. 0. 0. 0. αy C p1 3. 2 −αy C p12. 0. 0. 0. 0. 0. 0. 0. 0. 0. αx C p2 3. 0. 1 −αx C p22. 0. 0. 0. −αy. 0. 0. 0. 3 C p1 3. C p2. 3 C p2 2 C p22 3. . 0. 0. 0. 0. αy C p2 3. 0. 0. 0. 0. 0. 0. αx C p3 3. 0. 1 −αx C p32. 0. 0. 0. 0. 0. 0. 0. αy C p3 3. 2 −αy C p32. V = . 3. . C p3. 3 C p3 3.               . ∂h = I(6) ∂υ. 

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(28) Þß¹à=á¢âCãaä3åæ]çCçIæ(è4éé:êsåGâCëäZá1æ(åæ]çCçCæÜì«ædäZá¢íê¢æ(âCëîáædêsëä3ïétçCâCåäKçIæ(äKçºê¢é:ðÑéKá è4étëžñ„çxá1ê1éòåGâ‘ó£äKçCãaä:ë. ô. •. C. P2 = [−80 − 80 850]mm. •. C. P3 = [−90 50 900]mm. éé:ê¢åGâ•ëäZá1æ(âCëGâIõdâIäKçCâ¡ïfá1âCã3äZáæEåæ]çCçIæÜì~ædäZá1íGê1æ÷ö. •. C. P1 st = [−375 150 2625]mm. •. C. P2 st = [−150 − 150 1594]mm. •. C. P3 st = [−270 150 2700]mm. (u1 , u2 ) = [40mm/s, 0r ad/s]    . (u1 , u2 ) = [−40mm/s, 0r ad/s]

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(87) å,ÙAâß3à1é. 2. Errore Cp1 [mm]. 150 125 100 75 50 25 0 0. 50. 100. 150. 200. 250. 300. 350. 400. 0 0. 50. 100. 150. 200. 250. 300. 350. 400. 0 −100 −200 −300 −400 −500 −600 −700 −800 0. 50. 100. 150. 200 Tempo. 250. 300. 350. 400. C 2. Errore p3 [mm]. 2. Errore Cp2 [mm]. 150 125 100 75 50 25. [sec]. ÌÍÎ Ï ÐÑ;Ò>ÓDê>ÕEÖ_ׇØÙAÚÛÜלÝÞ4ßà áFßvâ¤âÝâß3ã

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(91) 3. Errore Cp1 [mm]. îYïð*ñJò]ó„ôxõ‡ö÷1ò]ø_ùò. 300 250 200 150 100 50 0 0. 50. 100. 150. 200. 250. 300. 350. 400. 50. 100. 150. 200. 250. 300. 350. 400. 50. 100. 150. 200 Tempo [sec]. 250. 300. 350. 400. −50. 3. Errore Cp2 [mm]. 0. −100 −150 −200 0. 3. Errore Cp3 [mm]. 0 −500 −1000 −1500 −2000 0. úxûü ý þÿ 

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(95) 3546"' "8729. 1500. C. Dist. || P1− P1st||. 2000. C. 1000 500 0 0. 50. 100. 150. 200. 250. 300. 350. 400. 50. 100. 150. 200. 250. 300. 350. 400. 50. 100. 150. 200 Tempo. 250. 300. 350. 400. 2. 400. C. C. 600. 2. Dist. || P − P st||. 800. 200 0 0. 1500. C. Dist. || P3− P3st||. 2000. C. 1000 500 0 0. [sec]. úûü ý þÿ: ;

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(101) Z^V \g`S_DhK_ Q ]J_0bjik\lQ`_mXaRonpV \UTWVDb qrst u$v*w*xHyz|{}6y~6xJzxF{$uFyvu<{$uv2€/yaz}8/€"y‚}8w*}<zz}8~<x2xJƒ/w*yv uS€"} C pi } C pi }6 † JyxJƒ"uv*x*‡0‚}<v€"ƒ/}‚y Jzyx$ƒ"u$v*xHst uv*w xHyz[{J}<y~6xJzxF€"x$ƒ/v uHyv*w*y}€"ƒ/1x*r‰ˆ1v{2}6~6„ }z+u /€"y‚Fu^w*}<zz+u^~6xx$ƒ/w*yv u€.u C pi ‚y $zy+x$ƒ"u^"}6‚ ƒ/}$‡P~<x$vŠ~6xJv2{J}<ƒ‹ J}6v*Œu^‚y Jzyx† ƒ/}st u$v*w*x:yzKƒ/xJDx$€){$u>yvYu<3{$u$v€"yCrFމ}<z uƒ6r„ qr  ƒ/y xJƒ‹€.uS€.u:t*v u xJ/"y*yz} „ „ y+v€"}6ƒ ƒ/}€.u$Œ6yxJv*}w*y|s2t*}<‹€"x~6xJ‚ x$ƒ‹€.u$‚}6„ v2€"x‘ „ „ ’ rzlu-“

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(104) ³2R

(105) V \URo`Z2VD\URoX[Z\U\UZ@c?Z2VQSd[`SZ • •. C. P1 = [−100 40 700]mm. •. C. P2 = [−80 − 80 850]mm. •. C. P3 = [−90 50 900]mm. •. C. P1 st = [−375 150 2625]mm. •. C. P2 st = [−150 − 150 1594]mm. •. C. P3 st = [−270 150 2700]mm. ² _N_D`SXaRCb[VQZ^RUbaR

(106) ³2R

(107) V \UR´fQRUTYVQ<ZX[Z\U\

(108) Z@c1Z2VQda`Z •. ² _0b0Q<`S_0\U\URgVD\g`S_DhK_ Q •. }6ƒ±SµF/}6~-} u1 = −40mm/s }6ƒ±SµF/}6~J‡u$z3€"}6ƒ/v u€"yE† „ {$u‚}<v€"}› v*xFu$zz+u-› v*})w*}6zz+u"y‚t*z+u$Œ6yxJv*}$‘ „ ‘ • u2 = 0.02 ∗ sin(2π ∗ 0.05 ∗ t) ¶ d&TW_D`Zf<da\U\

(109) Z^TYRCf<d[`Z ®&}6ƒ>xJ Jv*y·~<x2xJƒ/w*yv u€"umw }6z t*v2€"xЁ/t*zzC¸ y‚F‚Fu Jyv*}¹/y u$ J $y+t*v€"xt v=ƒ/t*‚x$ƒ/}· Ju$t*/"y+uv xw*y0‚F}6w*y+uv2t*zz+u„ }‰{$u$ƒ/y+uv Œ<u σ2 = 0.1pixel ‘ ¶ d&TW_D`Zf<da\U\1º3_|X[_0TWZQ`R

(110) V σ2 = 0.1mm }6ƒ8zxp xJ‹€.u$‚}6v2€"xpzyv*}<u$ƒ/}F} σ2 = a „ }6ƒzx x$/€.u‚}<v€"lxFu$v* $xJz+u$ƒ/}$‘ „ 0rad „ „ »D» • u1 = 40mm/s.

(111) ¼N½+¾¯¿À0Á0ÂÃSÀDÄUÄUÀ¯Å[ÆÄgÃSÀDÇKÀ Â. 1. Errore Cp1 [mm]. 600 500 400 300 200 100 0 0. 50. 100. 150. 200. 250. 300. 350. 400. 50. 100. 150. 200. 250. 300. 350. 400. 50. 100. 150. 200 Tempo [sec]. 250. 300. 350. 400. 1. Errore Cp2 [mm]. 0 −50 −100 −150 −200 −250 −300 0. 1. Errore Cp3 [mm]. 0 −500 −1000 −1500 −2000 0. È&ÉÊJË*Ì"ÍÎÏ+Ð<ÑÒoÓDÔlÕÖרÙ6ÔCÚÛÜ·Ý2ÞÜ!ß!ß.ÚSß"Ü)à$Ô|áâCÔ

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(114) רå6Ü"ØâÖß"Ü)æJç è¥é Â<ÃêUëêoÅaêoëJÀì é Ãê é Áaí é Q = 10 ∗ eye(9) î R = 10 ∗ eye(6) Ï ï‰ð$ñ"É+Í$òð‰ó!ô îgõ ð õ ÍÊJÊJÉË õ Ê$É+Í$òð î Ì/Ì/ðJÌ îgö Ë*÷+÷+͞òÉ ö Ë*Ì"͉ø î ÷÷ð ö/ù ð ö ñ.Í$ò î6õ ñ/ð·Í õ ÊJð$÷+Í$Ì î ù0ý î Ì=Ì Ê$î<Ë*õ Ì"ø Í î Ì Îî ÏÐ<÷lÑ Í ö ð ÉòðjË*÷lÌ/ÍÉ ú6É+ðJð ̋õ*ñ.îÍñ/ù0Éî ÊJ̋û÷îÉ)ñ/Íñ"Í$ò ø Í$î6ò õ ñ î ñ"ó6É·ð õ ø ûUÌ/Ê$ð ÷õ É ñ.Í$Ì/ü*Ì/Éð$÷ î Ì/Éó6ø*ð É õ ÷lñ"Í ÉòFù Í Ì î ó î øÌ:î<÷ õ ñ î Î Ï õ î6õ î î ö ù0î î ó<õÿ ð2ðJþ ̋ø*É õ ÍSñ î Ï ö õ ù.  

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