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Perception multisensorielle pour la localisation d'un robot mobile en environnement extérieur, application aux véhicules routiers

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HAL Id: tel-00692034

https://tel.archives-ouvertes.fr/tel-00692034

Submitted on 27 Apr 2012

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publics ou privés.

Perception multisensorielle pour la localisation d’un

robot mobile en environnement extérieur, application

aux véhicules routiers

Jean Laneurit

To cite this version:

Jean Laneurit. Perception multisensorielle pour la localisation d’un robot mobile en environnement

extérieur, application aux véhicules routiers. Automatique / Robotique. Université Blaise Pascal

-Clermont-Ferrand II, 2006. Français. �NNT : 2006CLF21658�. �tel-00692034�

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q <IK9 M98 <;J698  x  x y  iekf ijtg€ x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x    x   €{{e{ ƒ~g~~{  htfk  eg iekf ijtg€ x x x x x x x x x x x x x x x x x x    x x  y t €g{ftgf tj~tfk x x x x x x x x x x x x x x x x x x x x x x x x x   x x y t mt€† tj~tfk x x x x x x x x x x x x x x x x x x x x x x x x x x x   x x  y { h€{{e{   ˆ te{{ w t s x x x x x x x x x x x x x x x x x x x x   x x   ~€k{kg   jt m  ~jk{tfkg  { h€{{e{ x x x x x x x x x x x x x x   x  w   ~jk{tfkg tef~ƒ{{ks x x x x x x x x x x x x x x x x x x x x x x x x x x   x  x   €{{e{ tef~ƒ{{k| ‰ „ x x x x x x x x x x x x x x x x x x x x x x x   x  x ~fmkgtfkg  { httm‚f{  { h€{{e{ ‰ „ x x x x x x x x x x x   x  … kjftƒ f kg|mtfkg{ {f€†t{fkle{ x x x x x x x x x x x x x x x x x x x x x   x  x  w   k€tfkg  e {v{f‚m  ~ftf x x x x x x x x x x x x x x x x x x x x   x  x Š mhj x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x   x  g€je{kg x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x        GJ 9; [<6<[;76J8<;JG: M98 [<5;9H68 n  x   thfe{ hhk€hfk|{ x x x x x x x x x x x x x x x x x x x x x x x x x x x x   x  x   †k Š  { €thfe{ x x x x x x x x x x x x x x x x x x x x x x x x x x x   x  x y   m‚f x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x   x  x  y  ƒvm‚f x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x   x   thfe{  Š f~€hfk|{ x x x x x x x x x x x x x x x x x x x x x x x x x x x x x     x x   †k Š  { €thfe{ x x x x x x x x x x x x x x x x x x x x x x x x x x x     x x y  ˆ x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x    x x  y  €thfe  k{kg x x x x x x x x x x x x x x x x x x x x x x x x x x x     x   k{ g €mhf  e fmh{ x x x x x x x x x x x x x x x x x x x x x x x x x x x   x   g€je{kg x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x    G[<KJ8<;JG: <9[ K;69 M9 <K<:    x  €fe  ~ftf x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x  x  x  {€khfkg x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x  x  x €fe  ~ftf kgkfktj f mtfk€   €stktg€ t{{€k~ x x x x x x x  x  fth   h~  k€fkg x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x  x x   ~  k€fkg  e s€fe  ~ftf x x x x x x x x x x x x x x x x x x x x x x  x x  ~  k€fkg   jt €stktg€ x x x x x x x x x x x x x x x x x x x x x x x  x  w k{  ue ht kg|mtfkg ƒvm‚f x x x x x x x x x x x x x x x x x x x x  x  w k{  ue ht kg|mtfkg{ ˆ x x x x x x x x x x x x x x x x x x x x x x x  x  x   †~g€  { kg|mtfkg{ ˆ x x x x x x x x x x x x x x x x x x x  x  x w k{  ue x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x   x w k{  ue ht kg|mtfkg{  sk{kg x x x x x x x x x x x x x x x x x x x x x  x x  … g€fkg  i{stfkg x x x x x x x x x x x x x x x x x x x x x x x x x  x x  g€fkfe  {  { kg|mtfkg{ sk{kg x x x x x x x x x x x x x x x x x  x x ˆ   x x x x x x x x x x x x x x x x x x x x x x

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<IK9 M98 <;J698  x x  w k{  ue x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x  x „~{ejftf{ x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x  x x  y €tjk{tfkg {jg jt  k{hgkikjkf~  { €thfe{ x x x x x x x x x x x x   x x y €tjk{tfkg {tg{ jt m  ~jk{tfkg ‰ „  { kg€fkfe  { ˆ x x x x x  x x  w ejfkm  tjkf~ f €†tgƒmgf   sk x x x x x x x x x x x x x x x x x   x   g€je{kg x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x  r G[<KJ8<;JG: \ K;69 5<6;J[HK<J69   x  y  ue   htfk€ej{ x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x   x  x  {€khfkg x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x   x  x y  ue   htfk€ej{ kgkfktj x x x x x x x x x x x x x x x x x x x x x x x   x  fth   h~  k€fkg x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x  x  w k{  ue ht ˆ x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x  x  w k{  ue ht  sk{kg x x x x x x x x x x x x x x x x x x x x x x x x x x x x  x  x  w k{  ue sk{kg egkm  tj x x x x x x x x x x x x x x x x x x x x  x  x w ejfkm  tjkf~  { i{stfkg{  sk{kg x x x x x x x x x x x x x x x  x  x   k{ g €mhf   jt €tf x x x x x x x x x x x x x x x x x x x x x x  x  †k Š  e jf htfk€ejtk x x x x x x x x x x x x x x x x x x x x x x x x x x x  x x  … kjf htfk€ejtk ts€ kgft€fkg x x x x x x x x x x x x x x x x x x x   x x … kjf htfk€ejtk ƒ~g~fkle x x x x x x x x x x x x x x x x x x x x x x   x „~{ejftf{ x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x   x x  y €tjk{tfkg {jg jt  k{hgkikjkf~  { €thfe{ x x x x x x x x x x x x   x x y €tjk{tfkg {tg{ jt m  ~jk{tfkg ‰ „  { kg€fkfe  { ˆ x x x x x  x x  w ejfkm  tjkf~ f €†tgƒmgf   sk x x x x x x x x x x x x x x x x x  x x  y ~ƒkfkmkf~  e jf htfk€ejtk ƒ~g~fkle sk{sk{  e jf htfk€e jtk ts€ kgft€fkg x x x x x x x x x x x x x x x x x x x x x x x x x x  x   g€je{kg x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x x   G:[KH8JG: 9; 596859[;J98 pq       5569:;J88<L9 M9 K<KLG6J;9 M9 J8JG: pq  Z 8;98 L7GM78J^H98 9; 56G9[;JG:8 [<6;GL6<5J^H98 <88G[J798 p  9 7J[HK9 9576J9:;<K ]   pp  JIKJGL6<5J9 pp  <IK9 M98 LH698 pn J8;9 M98 ;<IK9<H p    

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F? S TR V ? y t €g€hfkg   s~†k€ej{ tefmtfk{~{ e  { if{ mikj{ {f eg  mtkg    €†€† g hjkg  Š htg{kg x  { s~†k€ej{ {gf {esgf €ge{ he f efkjk{~{  tg{ j  kg  e{fk €mm mvg   ftg{hf  kg{h€fkg e  h~tfkg f hesgf f ht fk€ejk‚mgf t  thf~{   { kgfsgfkg{ g gskggmgf †{fkj x g sk€k lejle{  Š mhj{  jt ifkle tƒk€j ts€ j  tefmtfk{tfkg  { gƒkg{   ~€jf jt ifkle   {sk€ he j ftg{hf j gffvtƒ e jt {eskjjtg€  { j€te Š g mkjke tƒtjkmgftkkg  e{fkj †{hkftjk xxx  j{ ftste Š heijk€{ ts€ jt €g€hfkg  gƒkg{   €†tgfk tefmtfk{~{ jt ifkle g mkjke †{fkj lek kgfskgf g htfk€ejk  tg{ j  mtkg ge€j~tk he jt {eskjjtg€ f jt mtkgfgtg€  { €gftj{ ge€j~tk{ Y €ggtk{{tg€ f €tfƒth†k  { gkste Š   t  ktfkg j  tk   te  ~mtgf‚jmgf e t{{tkgk{{mgf  { {kf{ t  kt€fk|{ x  e le   fj{ s~†k€ej{ hek{{gf |g€fkgg kj {f g~€{{tk  ~jti  { {v{ f‚m{   h€hfkg{   j€tjk{tfkg   hjtgk€tfkg ftu€fk e g€   €mmtg   x y t€†kf€fe |g€fkggjj Y €| ƒe  x    €{ s~†k€ej{ hef f  ~€mh{~ g  e Š f  €†{  jt f  €†   gtskƒtfkg f jt f  €†   j€tjk{tfkg x y t f  €†   gtskƒtfkg {  ~€mh{ jjm m g fk{ m  ej{  eg m  ej   hjtgk€tfkg   ftu€fk lek €tj€ej eg kfkg~tk j€tj {e{ jt |m   hkgf{   ht{{tƒ {jg eg  {fkgtfkg  ~gk ht eg h~tfe †emtkg eg m  ej   ƒek  tƒ lek €tj€ej j{ €g{kƒg{   skf{{ f   €th f lek hmf te s~†k€ej   {eks eg ftu€fk g kgfhjtgfj{ hkgf{ €tj€ej~{ ht j m  ej   hjtgk€tfkg eg m  ej   €mmtg  lekt he|g€fkg  t{{skj€mhfmgf€kg~mtfkle  e s~†k€ej {e j{ stje{   €g{kƒg{  ~fmkg~{ ht j m  ej   ƒek  tƒ  etgf  jt f  €†   j€tjk{tfkg jj €€eh eg h{kfkg ftg{s{ €t jj g~€{{tk  fe{ j{ m  ej{   jt f  €†   gtskƒtfkg x gf tef jj je |egkf  k ~gf{ kg |mtfkg{ {e j €mhfmgf  e s~†k€ej  tg{ {g gskggmgf €mm {t h{kfkg e {t €kg~mtfkle Y €th ejk{ ftgƒtƒ tkg{k le skf{{    ~hjt€mgf x gg he ~tjk{ j{ f  €†{   gtskƒtfkg tkg{k le jt f  €†   j€tjk{tfkg kj {f ikg { g~€{{tk   €ggtf j  gskggmgf 

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  x  ‰ €†kf€fe |g€fkggjj  eg s~†k€ej tefmtfk{~ }g if mikj {f ƒ~g~tjmgf €ge he  €fe eg €ftkg gmi   f  €†{ le j  g hef hef €jt{{ g |g€fkg  e fvh  gskggmgf  tg{ jlej kj ~sje Y mk

jke {fe€fe~ e {mk{fe€fe~ gskggmgf gtfej

xxx   e  ƒ~   €ggtk{{tg€   €f gskggmgf   {g €tt€f‚ ~sjefk| Y i{ft€j{  Š { e mikj{ e g€  e  mtkg  thhjk€tfkg he jlej j s~†k€ej t ~f~ €ge x g stg€† {{ h|mtg€{ {gf ~fkfmgf jk~{  jt h~€k{kg  jt tikjkf~ f te fmh{   ~hg{  { €thfe{ f  { m~f†  { mk{{ g es he j€tjk{ j s~†k€ej x   ftstkj   f†‚{ { h{kfkgg tefe  e hij‚m   j€tjk{tfkg f gftmmgf {e j  ~jtitfkg  eg {v{f‚m   j€tjk{tfkg {e{€hfkij   |egk  { kg|mtfkg{ h~€k{{ f tij{ g se  e €gfj  eg s~†k€ej  tg{ eg gskggmgf efk x y t €g€hfkg   € ƒg   {v{f‚m t  ~u ~f~ ti  ~ f htfkjjmgf~{je g ifkle tƒk€j e g€  tg{ jt €g€hfkg  gƒkg{   €†tgfk tefmtfk{~{ x tg{ €{ €t{ j{ thh€†{   j€tjk{tfkg { it{gf g ƒ~g~tj {e jt €mikgtk{g  kg|mtfkg{ hsgtgf   {v{ f‚m{   h{kfkggmgf ht {tfjjkf{fj{ le j{ ˆ  k ~gfkj{e €kg~mtfkle{ f   {v{f‚m{ kgfkj{   †tef h~€k{kg x  hg  tgf j{ €gftkgf{  e mg   tefmikj  

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:;6GMH[;JG:  |t€kjkf~   mk{ g es tikjkf~ f ie{f{{  { {v{f‚m{ mitle~{  tg{ j{ s~†k€ej{ mh €†gf j  efkjk{tfkg   fjj{ thh€†{ x g  f j{ ˆ  k ~gfkj{ e €kg~mtfkle{ g ~hg  gf  te€eg   €{ €gftkgf{  kj{ {gf €†{ je mk{ g es {f jtfksmgf €mhjkle~ Y g~€{{kf~  tsk eg {ftfkg   it{  h Š kmkf~  e s~†k€ej kj{ {gf he tij{ Y

{tfjjkf{ {esgf mt{le~{ g mkjke eitkg

 g{ x  etgf te Š {v{f‚m{ kgfkj{   †tef h~€k{kg kj{ {gf e Š fh €†{ f {esgf fh  k€kj{  ~ftjgg he hesk f mitle~{  tg{ eg s~†k€ej efk x ‰ kg{k j{ thh€†{  Š k{ftgf{   j€tjk{tfkg h~€k{ ~jti~{  tg{ jt €mmegtef~   jt ifkle mikj g {gf le he g€jkg{  f efkjk{~{  tg{ j mg   tefmikj x  ff f†‚{ h~{gf eg {v{f‚m   j€tjk{tfkg~hg  tgf €†t€eg   €{€gftkgf{ x  {v{f‚m { it{ {e jt €mikgtk{g  kg|mtfkg{ hsgtgf  eg g{mij   €thfe{ hhk€hfk|{ f  Š f~€hfk|{   |tkij{€f{ fj{ le  eg ˆ gtfejeg   m‚f f eg ƒvm‚f   f€†gjƒk w w  eg {v{f‚m   sk{kg tkg{k le  eg €tf h~€k{   j  gskggmgf efk xy  {v{f‚m   sk{kg g€ thhj~ €thfe sk{kg hmf    j€tjk{ h~€k{~mgf j s~†k€ej {e jt €†te{{~ €  {f  k   €ggtf {t h{k fkg jtf~tj f {g kgftfkg {e jt ef   j€tjk{ j s~†k€ej  tg{ j mg   g  €fetgf eg mk{ g €{hg  tg€ ts€ jt €tf   j  gskggmgf efk f  g€ |egk eg kg|mtfkg   j€tjk{tfkg   g  tgf ts€ j ˆx e Š tstgftƒ{ kmhftgf{ ~{ejfgf   j  efkjk{tfkg   € €thfe  tm~jk jt h~€k{kg  e {v{f‚m ˆ €thfe{ hhk€hfk|{ it{ €f{ h mfftgf  thh€† j{ h|mtg€{  eg {v{f‚m €mikgtgf ˆ  k ~gfkj{ f {v{f‚m kgfkj   †tef h~€k{kg tm~jktfkg   jt ie{f{{ f   jt tikjkf~  e {v{f‚m g {ehhj~tgf j ˆ j{le j  kgf~ƒkf~   {{ kg|mtfkg{ {f mk{ g €te{ g htfk€ejk  tg{ j{ g{ eitkg{  g{{  j ˆ hef f mk{ g  ~|tef ht j{ €€ejftfkg{  { {tfjjkf{ hsle~{ ht j{ i  fkmgf{j{ feggj f€ xxx   m~mk {  ksk{ g  e Š htfk{ te Š lejj{ { tuefgf j{ tgg Š { x y t hmk‚ htfk {  ~€mh{ g fk{ €†thkf{ x }g hmk €†thkf  {gf h~ {gf~{ j{  ks{{ m~f†  { 

 h{kfkggmgf j{ hje{ {esgf e{kf~{

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C Q > Q T4  U>S Q

(21)
(22)

@43 XQ 1 O T43 T4  O 3 VQ V O ??4 4? Q g ifkle mikjkj Š k{f fk{ m~f†  {  k ~gf{   h{kfkggmgf x Y  < KG [<KJ8<;JG: 69K<;J9  j  ~hjt€mgf jtfk|  e s~†k€ej {f  ~fmkg~ ht kgf~ƒtfkg{ {e€€{{ks{  kg|mtfkg{  ~€kstgf jt €kg~mtfkle  e s~†k€ej €  {f  k j{ €mh {tgf{   skf{{ f  t€€~j~tfkg {jg eg tffkfe    kƒkg €gge  e s~†k€ej x Y   < KG[<KJ8<;JG: <I8GKH9  j{ €thfe{ |egk{{gf  { kg|mtfkg{ hmfftgf    ~fmkg  k€fmgf jt h{kfkg  e if  tg{ eg ~|~gfkj  gg~ Y  Š  ~|~gfkj ƒ~  ~{kle he j h{kfkggmgf ht ˆ  j ~|~gfkj   jt €tf  { tm{ sk{ej{ he j h{kfkggmgf ht sk{kg f€ xxx  x f gg Y  K9 5G8J;JG::99:;   I6JM9  j if {f j€tjk{~ g €mikgtgf j{ m~f†  {   h{kfkggmgf jtfk| f   h{kfkg gmgf ti{je tm~jktgf tkg{k jt j€tjk{tfkg  e s~†k€ej g €mhg{tgf j{  k ~gf{ hij‚m{ g€gf~{  tg{ j{  e Š m~f†  { h~€~  gf{ Y ~ks{  jgƒ fm   jt h{kfkg  e s~†k€ej he j h{kfkggmgf jtfk| f j{ hij‚m{  €€ejftfkg{ he j h{kfkggmgf ti{je x g stg€† jt €mikgtk{g  { kg|mtfkg{ ijkƒ jt mk{ g es   h€{{e{   |e{kg    gg~{ ~tjk{~{ g ƒ~g~tj ht  { m~f†  {   jftƒ itv~{kg x }g ~fe   ikijkƒth†kle   €{  k ~gf{ m~f†  { st f h~{gf~  tg{ j{ fk{ h€†tkg{ {€fkg{ x  + `%%$  y  h{kfkggmgf jtfk| hef f jek m m  ~€mh{~ g fk{ €tf~ƒk{  j h {kfkggmgf ht   m~fk j h{kfkggmgf kgfkj f j h{kfkggmgf jtfk| †v ik    tg{jlej h{kfkggmgfht  m~fk fh{kfkggmgfkgfkj{gf€mikg~{ x       y t j€tjk{tfkg ht   m~fk {f f‚{ ~htg  e g ifkle mikj   ht {t |t€k jkf~{g |tkij €f   mk{ g es tkg{k le  eg €t  g€  t€lek{kfkg  { m{e{ f‚{ ~js~ x y    m~fk hmf   |egk eg letgfk€tfkg  {  ~hjt€mgf{ €eskjkƒg{  e s~†k€ej g m{etgf jt ftfkg  { e{ x  { m{e{ {gf ƒ~g~tjmgf ~tjk{~{ ht   Š  Š    

(23)

 k€fmgf   jt ~{jefkg  e €  e x y kg|mtfkg  kgftfkg hef f te{{k  ~  ekf   jt  k ~g€    k{ftg€ ht€ee ht jt e  kf f ƒte€†  e s~†k€ej x y  €tj€ej   jt h{kfkg jtfks f  e €th  e s~†k€ej

(x, y, θ)

T

{f ~tjk{~ ht kgf~ƒtfkg{ {e€€{{ks{   {{  ~hjt€mgf{ ~j~mgftk{ x y t €ggtk{{tg€  e  ktm‚f  { e{ j  gf t Š {  { e{ f   jt €kg~mtfkle  e s~†k€ej {f k€k lek{ x     9 GMK9 [J:7<;J^H9 M9 ;  59 [<6  g{k  ~g{ le jt €t  g€  t€lek{kfkg  { m{e{   m~fkle{ {kf t{{ ~js~ he ~tjk{  { hfkf{  ~hjt€mgf{ ~j~mgftk{ fle j s~†k€ej {  ~hjt€ {tg{ ƒjk{{ mgf Y €| ƒe  x  x g hmk jke€tj€ejg{ jt skf{{ jgƒkfe  kgtjjt skf{{ jtf~tj  e s~†k€ej {jg j  t Š 

(x

v

, y

v

)

f jt skf{{   ftfkg  e s~†k€ej g |g€fkg  {skf{{{ tgƒejtk{  { e{

w

g

f

w

d

x

Y

X

x

k

y

k

θ

k

v

lat

v

lon

l

  x  w   ‚j €kg~mtfkle   fvh €†t

v

lon

=

r(w

d

2

+w

g

)

v

lat

=

0

˙θ

=

r(w

d

−w

g

)

l

Y  x  

r

{f j  ktm‚f  { e{ Y {ehh{~ k  gfkle he j{  e Š e{ f

l

jt  k{ftg€ {~httgf j{  e Š e{ x fg{ le j  †vhf†‚{    ~hjt€mgf {tg{ ƒjk{{mgf kmh{ le jt skf{{ {jg j  t Š  jtf~tj  e s~†k€ej {kf €g{k  ~~ gejj x y t skf{{ jgƒkfe  kgtjf jt skf{{ jtf~tj  e s~†k€ej {jg j  t Š 

(x, y)

{gf  gg~{ ht j{ jtfkg{ 



v

lat

=

− ˙x sin(θ) + ˙y cos(θ)

v

lon

=

˙x cos(θ)

+

˙y sin(θ)

Y 

x 

(24)

g fgtgf €mhf  { ~letfkg{ Y  x f Y  x  f g kgf~ƒtgf  tg{ j fmh{ j{skf{{{ jgƒkfe  kgtj jtf~tj f   ftfkg  e s~†k€ej kj {f h{{kij   €ggtf j{  ~hjt€ mgf{ ~j~mgftk{  e s~†k€ej x ‰ kg{k j  ~hjt€mgf  e s~†k€ej  eg kg{ftgf

k

− 1

 eg kg{ftgf

k

{f  ~€kf ht 

x

k

= x

k−1

+

r(w

d

+ w

g

)

2

T

cos(θ

k

)

y

k

= y

k−1

+

r(w

d

+ w

g

)

2

T

sin(θ

k

)

θ

k

= θ

k−1

+

r(w

d

− w

g

)

l

T

Y  x  ts€

T

j fmh{ ~€ej~ gf j{ kg{ftgf

k

f

k

− 1

   p GMK9 [J:7<;J^H9 M9 ;  59 ;6J[  [K9   m  ‚j { tm‚g  €g{k  ~ eg s~†k€ej ts€  e Š e{ tk‚{ f eg e  k€fk€ tstgf Y €|ƒe  x   xy ~ftf  e s~†k€ej {f tj{  ~€kf ht j s€fe   h{kfkg

(x, y, θ)

T

f j  tgƒj   itletƒ   jt e

δ

r

x  jg le j{ €thfe{ {gf mgf~{ {e j{ e{ tk‚{ j{ e{ tstgf  e s~†k€ej  e Š |mejtfkg{   € m  ‚j €kg~mtfkle  Š k{fgf f {gf {e€€{{ksmgf  ~€kf{ ht j{ ~letfkg{ Y  x  f Y  x  

Y

X

x

k

y

k

θ

k

v

lat

v

lon

δ

r

  x  w   ‚j €kg~mtfkle   fvh fk€v€j

˙x

˙y

˙θ

˙

δ

r

 =

cos(θ)

sin(θ)

tan

δ

r

l

0

v

lon

+

0

0

0

1

 v

r

Y  x 

(25)

˙x

˙y

˙θ

˙

δ

r

 =

cos(δ

r

) cos(θ)

sin(δ

r

) sin(θ)

sin

δ

r

l

0

v

lon

+

0

0

0

1

 v

r

Y  x  

˙δ

r

{f jt skf{{   itletƒ   jt e  k€fk€ f

v

lon

jt skf{{ jgƒkfe  kgtj  { e{ tk‚{ e  { e{ tstgf{  e s~†k€ej {jg jt  k{h{kfkg  {   m‚f{ x  g{k  ~g{j  ~letfkg Y  x g t  mfftgfle j  tgƒj  itletƒ   jte  k€fk€ {kf €gge  fef kg{ftgf Y j  {fkmtfkg  

˙

δ

r

 skgf kgefkjf g kgf~ƒtgf  tg{ j fmh{

˙x



˙y



˙θ

 j  ~hjt€mgf  e s~†k€ej gf j{ kg{ftgf

k

f

k

− 1

{f 

x

k

= x

k−1

+ v

lon

T

cos(θ

k

)

y

k

= y

k−1

+ v

lon

T

sin(θ

k

)

θ

k

= θ

k−1

+ tan

δ

r

l

Y  x    m  ‚j {f ~tjk{f {e{ jt €gftkgf le   fef kg{ftgf

|θ| ≤ θ

max

π

2

 € lek ft  ekf le j  tgƒj   itletƒ   jt e  k€fk€  kf f ig~ x  ff €gftkgf hef f ~~€kf g |g€fkg  e tvg   €eie kg{ftgftg~ mt Š kmtj

R

max

f jt skf{{ jgƒkfe  kgtj tkg{k

|θ| ≤ |v

lon

| R

max



R

max

=

l

tan(δ

r

max

)

Y  x     n GM7KJ8<;JG: M98 9669H68 GMG7;6J^H98 y  hkg€khtj  ~|tef   €ff m~f†   {f eg  ~ks   jt h{kfkg hhfkggjj  jt  k{ftg€ ht€ee ht j s~†k€ej hkg€khtjmgf eg ƒtg   e {e jt h{kfkg €  €te{   j  t€€emejtfkg  e{ j{  { kgf~ƒtfkg{ {e€€{{ks{ x  th‚{ kg{fkg  tg{ kg{fkg     t €{ e{ hesgf f €jt{{~{ g  e Š €tf~ƒk{   x K98 9669H68 8  8;7<;J^H98  €{ e{ {  tuefgf  €†tle kf~tfkg   jt j €tjk{tfkg  e s~†k€ej f {gf    e Š gtfe{  k ~gf{  t j{ e{ {e j{ httm‚f{ m~€tgkle{  e s~†k€ej Y j{ e{    ktm‚f{  k ~gf{ e{ {e jt jgƒee gft Š   { e{ gg tjkƒgmgf  { e{ f€ xxx  f i j{ e{   m{e{ Y ~{jefkg  { €  e{ |~leg€  ~€†tgfkjjggtƒ kg Š t€f f€ xxx  x y { e{ {v{f~mtfkle{  e hmk  e fvh {gf g ƒ~g~tj €mhg{~{ g efkjk{tgf  { m~f†  {   €tjkitƒ tj{ le €jj{  e {€g  fvh g hesgf f €kƒ~{ f  ksgf f hk{{ g €g{k  ~tfkg  tg{ j m  ‚j €kg~mtfkle  e s~†k€ej x x K98 9669H68 :G:8  8;7<;J^H98  €{ e{ {gf  k€fmgf  e{ te Š €gft€f{ s~†k€ej  ftkg x jj{h~{gfgfeg €tt€f‚ tj~tfk f  ~hg  gf gƒ~g~tj  { €tt€f~k{fkle{  e {j {e|t€   ejmgf k~ƒejk‚ Y fe{ f i{{{ h~{g€   Y x

(26)

|tkf   j  kmh{{kikjkf~   j{ h~  k j{ e{ gg{v{f~mtfkle{ {gf let{kmgf kmh{{kij{  €mhg{ {tg{ €e{   { m~f†  {   h{kfkggmgf ti{je x  jg j  gskggmgf  tg{ jlej ~sje j s~†k€ej j  eg e j  tef   €{ {e€{  e{  skgf h~hg  ~tgf  stgf j  tef x  t  Š mhj  tg{ j €t    thhjk€tfkg{ g gskggmgf kgf~kej{e{gg{v{f‚mtfkle{~ftgflet{kkg Š k{ftgf{€ {gf

j{ e{ {v{f~mtfkle{ lek €g{fkfegf jt €te{ hkg€khtj

 {  ~ks{   jt h{kfkg x g stg€†  tg{ eg gskggmgf  Š f~ke € lek {f gf €t{ € {gf j{ e{ gg {v{f~mtfkle{ lekuegf eg j hkm  ktj  tg{ €ff  ~ks x }g tgtjv{  { h†~gm‚g{ h†v{kle{  j  kƒkg  { e{   m~fkle{ {f f‚{ €mhjkle~  mff g es x  th‚{ „ks{      g hef €g{k  ~le j  ~€tf fvh {ejt  k{ftg€ ht€ee

D

k

hteg   m‚f  j  kg{ftgf

k

{f €g{fkfe~  eg fm h~{gftgf j  e {e jt m{e  e €  e Y  stktg€

σ

q

 f  eg fm h~{gftgf j  kg eg€  { e{ {e j{ httm‚f{   j€tjk{tfkg x   fm {f m  ~jk{~ ht eg iekf ijtg€  gf j  ~€tffvh {f hhfkggj  jt  k{ftg€ m{e~ Y



D

D

k

 

σ

Dk

=

q

σ

2

q

+ (

D

D

k

)

2

Y  x       ff f€†gkle   j€tjk{tfkg { it{ {e j  efkjk{tfkg  { {v{f‚m{ kgfkj{   gt skƒtfkg Y     gf j gm {f   te |tkf   j  efkjk{tfkg  { hhk~f~{ kgfkjj{   jt mtfk‚ f   jt jemk‚ x  th‚{ j{ jk{   jt m~€tgkle |mej~{ ht  {tt€ fg jt j€tjk{tfkg  e s~†k€ej {f  ~  ekf   jt  eij kgf~ƒtfkg  { €mh{tgf{ t€€~j~m~ fkle{

a

 e s~†k€ej     

v =

Z

a dt

Y  x    

p =

Z

v dt

Y  x   e ~tjk{ j h{kfkggmgf  tg{ eg {v{f‚m   ~|~g€ kj {f tj{ g~€{{tk   €ggtf j  kgftfkg {htfktj  { €mh{tgf{ t€€~j~m~fkle{ x ‰ kg{k j{ {v{f‚m{   {gf €mh{~{   fk{ t€€~j~m‚f{ kgf~{  j  tk     fk{ ƒv{€h{ x   

θ =

Z

w dt

Y  x    p  98 MJ769:;8 8  8;98  Z y {  k ~gf{ {v{f‚m{ kgfkj{ hesgf f €jt{{~{ g  e Š €tf~ƒk{  j{ {v{f‚m{  hjtf{|m{ {ftikjk{~{ f j{ {v{f‚m{  €mh{tgf jk~{ x  jg j{ h|mtg€{ f j hk Š   skgf gsk{tƒ~{ he jt j€tjk{tfkg  e if €{ {v{f‚m{ hesgf f    x 

(27)

p 98 7;GM98 M9 5G8J;JG::99:;  e Š €tf~ƒk{   {v{f‚m{ f j{  k ~gf{ €thfe{ kgfkj{ j{ hje{ efkjk{~{ {gf  ~€kf{ {e€€kg€fmgf   hje{ tmhj{ kg|mtfkg{ hegf f fes~{  tg{  †tk †     x K98 8  8;98 J:96;J9K8  5K<;98 G698 8;<IJKJ8798 \ € {gf j{hmk{ {v{f‚m{   gtskƒtfkg kgfkjj j{ €thfe{ {gf {jk  tk{  eg hjtf|m k{j~  { mes mgf{ m~€tgkle{ Y ƒe  x  f j h{kfkggmgf {f {kmhjmgf ~tjk{~ ht eg  eij kgf~ƒtfkg  { €mh{tgf{  t€€~j~tfkg  e s~†k€ej x ‰ h‚{ eg h†t{ kgkfktj  tjkƒg mgf j  tffkfe     jt hjtf|m {f t{{sk m~€tgklemgf g |g€fkg  { m{e{ ƒv{€hkle{ f €g{s  g€ eg tffkfe   €g{ftgf  ~gk{{tgf j h‚  e {v{f‚m   ~|~g€ x   ƒg   {v{f‚m {f f‚{ h|mtgf f   j  tstgftƒ   hf~ƒ j{ €thfe{   jt hjehtf  { skitfkg{ g€ee{ ht j s~†k€ej hjgƒtgf tkg{k jt  e~   |g€fkggmgf  e {v{f‚m x g stg€† j{ m~€tgk{m{  t{{sk{{mgf {gf €m hj Š { €fe Š f g€mitgf{ x K988  8;98 J:96;J9K8  [G5G8<:; KJ78 \ g€ thhj~{ {v{f‚m{kgfkj{ {fth  gkj{{gf j{|ekf{  e hƒ‚{ f€†gjƒkle f g htfk€ejk   j  kg|mtfkle x tg{ €  k{h{kfk|j{ t€€~j~m‚f{ f j{ ƒvm‚f{ {gf  k€fmgf {jk  tk{  e €h{  e s~†k€ej xy {t€€~j~tfkg{m{e~{  k€fmgf  tg{j h‚ jk~ te s~†k€ej {gf €gs fk{  tg{ j h‚   ~|~g€ g |g€fkg   j  tffkfe   m{e~ ht j{ ƒvm‚f{ x‰ kg{k j{ {v{f‚m{  t{{sk{{mgf m~€tgkle{ {gf €mhj‚fmgf mhjt€~{ ht eg {v{f‚m kg|mtfkle  kmkgetgf tkg{k {g €f   |tik€tfkg x  { {v{f‚m{ {gf  g€   {fe€ fe f‚{ {kmhj ts€ eg |tkij g€mimgf {htfktjf ~{k{ftgf{ te Š €†€{kj{ {gf  g€ htfk€ejk‚mgf thhhk~{ he j  mtkg tefmikj x ~tgmkg{ €ff €gƒetfkg h~{gf j  kg€gs~gkgf   {emff j{ €thfe{ te Š skitfkg{  e s~†k€ej je{ m {e{ {gf tj{ f‚{ iekf~{ f g~€{{kfgf  kmhftgf{ h~ftkfmgf{  ~ƒt  tgf tkg{k jt h~€k{kg ht thhf te Š {v{f‚m{  hjtf{|m{ {ftikjk{~{ x K98 [<5;9H68 J:96;J9K8 \ j{ €thfe{ kgfkj{ fe€†gf eg jtƒ ~sgftkj  { {€kg€{ €gfmhtkg{ €mm jt m~€tgkle j  ~j€fgkle j  hfgkle e g€ jt h†v{kle tfmkle x tg{ j{  gk‚{  ~€ggk{ fk{ €tf~ƒk{   ƒv{€h{ { {gf  ~mt le~{ j{ „kgƒ y t{ ˆ v{   j{ … ki  hfk€ ˆ v{f j{ w k€ j€f w €†tgk€tj  v{fm{ ƒv{ x  x j „ yˆ  €~~  tg{ j{ tgg~{  f thhtef  tg{ j{ {v{f‚m{ {fth  g  tg{ j{ tgg~{  {f eg  Š €jjgf €thfe kgfkj x  j t eg f‚{ igg {ftikjkf~ f jkg~t kf~  e |t€fe  ~€†jj eg |tkij {g{kikjkf~  j  t€€~j~tfkg tkg{k le  eg igg ~h~ftikjkf~   {{ h|mtg€{ g |g€fkg  { stktfkg{   jt fmh~tfe Y €m hg{tfkg h{{kij x  hg  tgf € €thfe {f f‚{ g~e Š f g  {f efkjk{~ le  tg{ j{ thhjk€tfkg{ mkjkftk{ f j  tsktfkg x x j …ˆ  kgsgf~  tg{ j{ tgg~{  kj  stkf f eg {kmhj tjfgtfks it{ €f Š yˆx ‰ 

(28)

  x   v{f‚m kgfkj  hjtf|m {ftikjk{~ te Š „ yˆ ts€ g htfk€ejk eg f‚{ ƒtg   jkg~tkf~  e |t€fe  ~€†jj f eg kg {g{kikjkf~ gs{ j{skitfkg{ x j {f  ~{mtk{f‚{€mh~fkfk|  tg{ j{thhjk€tfkg{ mkjkftk{f j{ thhjk€tfkg{ €mm€ktj{ x  x j{ ƒvm‚f{ w w  {gf h~{gf~{ €mm j{ mhjttgf{  {  e Š h~€~  gf{ €thfe{ f €€k  tg{   gmie Š  mtkg{  thhjk€tfkg x  j{ i~g~€kgf  eg ~  e€fkg   ftkjj f   hk Š f‚{ kmhftgf x  hg  tgf €{ tstgftƒ{ kmhjklegf eg itk{{  { h|mtg€{ fjj le j  teƒmgftfkg  e iekf   m{eeg |tkij {g{kikjkf~ Y |t€fe  ~€†jj f€ xxx w tk{ €ff f€†gjƒk {f g hjkg {{ f g hef htk le €{ €thfe{  skgggf   hje{ g hje{ €mh~fkfk|{ x  etgf te Š

t€€~j~m‚f{ j{ €thfe{ ~j€fm~€tgkle{ gf feue{

 mkg~ fe{ j{  mtkg{  thhjk€tfkg{ gg {ejmgf ht€ le je{ hk Š {gf tk{ggtij{ mtk{ ht€ le  te€eg f€†gjƒk tjfgtfks je gf {e€€~  ~ t htf j{ t€€~j~m‚f{  letf ~{gtgf egklemgf efkjk{~{  tg{ j ƒek  tƒ   mk{{kj{ ft€fkle{ x  hg  tgf  hek{ lejle{ tgg~{ j te{{k j{ €thfe{ w w gst†k{{gf j mt€†~ f {gf   hje{ g hje{ €mh~fkfk|{ x }g  {€khfkg hje{  ~ftkjj~   j  ~ftf   j  tf  { €thfe{ kgfkj{ hef f fes~  tg{ tie      f kg{fkg     t x   p p GM7KJ8<;JG: M98 9669H68 M98 [<5;9H68 J:96;J9K8 tg{  e   e g€  t    j{ tefe{ tmgf le j  g hef €g{k  ~ le fk{ {e€{  e{ kg eg€gf jt m{e  eg €thfekgfkj Y ƒe  x  {tsk  eg iktk{ {e jt m{e eg mtestk{ €tjkitƒ  e |t€fe  ~€†jj e g€ j{ gg   x‰ 

(29)

 eg t€€~j~m‚f

˜a

f  eg ƒvm‚f

˜

w

hesgf f m  ~jk{~{   jt mtgk‚ {ekstgf 

˜a = K

a

a + b

a

+ 

a

Y  x   

˜

w = K

w

w + b

w

+ 

w

Y  x  ts€ 

a

f

w

m{e{ |egk{ ht j{ €thfe{

K

j |t€fe  ~€†jj

b

j iktk{ {e jt m{e



j iekf   m{e x <[;9H6 M7[9KK9 9; :G:KJ:7<6J;78 \ j |t€fe  ~€†jj g  ~sje ht{ e he  tg{ j fmh{g €g{~leg€ eg h€~  e   €tjkitfkg hmf  {fkm € httm‚f   mtgk‚  ~gkfks x  mm hefef €thfe  { ggjkg~tkf~{ {gf h~{gf{je hk{ g €mhf hef f ~tjk{~ g m  ~jk{tgf j |t€fe  ~€†jj ht eg hjvgm     {eh~kee ~ƒtj x tg{€ €t{ j{ httm‚f{      f     h~{gfgf j iktk{ f j |t€fe  ~€†jj fj{ httm‚f{{eh~ke{ e ~ƒte Š    ~€ksgf j{ggjkg~tkf~{  e |t€fe  ~€†jj 

˜a = K

a

0

+ K

a

1

a + K

a

2

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w

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1

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w

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Sortie

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Sortie

Entrée

    

Sortie

Entrée

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(30)

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b

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1

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T

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a

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(31)

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(32)

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(33)

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(34)

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10m



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(35)

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(36)

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Récepteur

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