Cooperative Object Manipulation by Suspended Wheeled Mobile Manipulators

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  • 8/17/2019 Cooperative Object Manipulation by Suspended Wheeled Mobile Manipulators

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3 (

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3/I.Gshcif, Z.Chf C. Innscvfck

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     lcsg. Ucrfnus jnktrnh chanrft`is `cvg lggk usgm enr intfnk

    jnktrnh ne c inlfhg phctenri, R0-6Y, `nwgvgr ickfpuhctfka

    nlogjts ly iuhtfphg cris inuktgm nk c suspgkmgm invfka

     lcsg `cs rgicfkgm chinst uktnuj`gm. ]`g Iuhtfphg

    Fipgmckjg Jnktrnh (IFJ) fs ck chanrft`i t`ct `cs lggk

    mgvghnpgm enr sgvgrch jnnpgrctfka rnlntfj systgis

    ickfpuhctfka c jniink nlogjt, R34Y. ]`g IFJ hcw fipnsgs

    c rgegrgkjg fipgmckjg tn chh ghgigkts ne c inlfhg systgi,

    fkjhumfka fts lcsg, t`g ickfpuhctnr gkm-pnfkts, ckm t`gickfpuhctgm nlogjt ftsghe. ]`fs chanrft`i `cs lggk usgm enr

    spcjg ergg-ehygrs ckm fs s`nwk tn afvg annm ickfpuhctfnk

    rgsuhts gvgk fk t`g prgsgkjg ne fipcjts mug tn jnktcjt wft`

    nlstcjhgs, ckm gxtgrkch mfsturlckjgs, R33Y. ]`g icfk enjus ne

    t`fs pcpgr fs nk pgrenrifka nlogjt ickfpuhctfnk tcsbs ly

    iuhtfphg ickfpuhctnrs ne c inlfhg rnlntfj systgi gqufppgm

    wft` c suspgksfnk crrckagigkt fk c ifxgm jfrjuhcr-strcfa`t

     pct` fk mfeegrgkt sjgkcrfns. Efrst, usfka Hcarckag igt`nm t`g

    gquctfnks ne intfnks crg mgrfvgm lcsgm nk mfrgjt pct` igt`nm

    (MTI). Kgxt, t`g systgi knk-`nhnkninj jnkstrcfkt wfhh lg

    mgrfvgm, ckm usfka Kcturch Nrt`nankch Jniphgigkt Igt`nm

    t`g fkmgpgkmgkt sgt ne gquctfnks ne intfnk enr t`g systgi fs

    mgrfvgm. Efkchhy, t`g IFJ hcw fs cpphfgm tn jnnpgrctfvgickfpuhctfnk ne ck nlogjt ly twn ickfpuhctnrs ]`g nltcfkgm

    rgsuhts rgvgch t`g igrfts ne t`g IFJ chanrft`i fk tgris ne

    kgahfaflhg sichh trcjbfka grrnrs gvgk fk t`g prgsgkjg ne

    fipcjts mug tn jnktcjt wft` nlstcjhgs , sfakfefjckt

    mfsturlckjgs ckm gkm-geegjtnrs ehgxflfhfty.

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3/I.Gshcif, Z.Chf C. Innscvfck

    70

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      (1)

    w`grg k   fs t`g tntch kuilgr ne ickfpuhctnrs inuktgm nk

     lcsg ckmi

     K   mgkntgs t`g kuilgr ne t`g onfkts ne t`g t`i   

    ickfpuhctnr. Ugjtnr J jck lg wrfttgk cs?

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3/I.Gshcif, Z.Chf C. Innscvfck

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    Fk w`fj` r  fs t`g w`gghs rcmfus ckmAh   ckm l crg mgpfjtgm fk

    Efa.

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3/I.Gshcif, Z.Chf C. Innscvfck

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     p`csg) , ckmmgs

    g x x fs t`g nlogjt trcjbfka grrnr. Nk t`g

    nt`gr `ckm, cs mgsjrflgm fk R34-33Y, t`g nlogjt gquctfnk ne

    intfnk jck lg nltcfkgm cs?

    w j n gI x E E E A E   (:4)

    w`grgw nI , E , E , A

    , ckmgE   rgprgsgkt icss ictrfx,

    vgjtnr ne knkhfkgcr vghnjfty tgris, gxtgrkch enrjgs/tnrqugs,

    arcsp ictrfx ckm efkchhy enrjgs/tnrqugs gxgrtgm ly t`g

    ickfpuhctnrs gkm geegjtnrs, rgspgjtfvghy. Cs igktfnkgm lgenrg, t`g IFJ hcw gkenrjgs t`g scig fipgmckjg nk vcrfnus

     pcrts ne t`g systgi. ]`grgenrg, wg jck wrftg t`g scig

    fipgmckjg hcw enr t`g systgi cs?

    4 j pm mgs   E g~b 

    ~g~b 

    ~g~ I 

    ~   (:3)

    w`grgmgs

    g x x   fs t`g trcjbfka grrnr fk t`g systgi

    jnktrnhhgm vcrfclhgs. Cjjnrmfka tn t`g IFJ hcw t`g cpphyfka

    enrjgs/tnrqugs jnuhm lg mfvfmgm fk twn pcrts cs enhhnws?

    int   e  c p p             (:

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3/I.Gshcif, Z.Chf C. Innscvfck

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    7 4.< 3 4.3 17

    5 4.3 3 4.3 17

    Fk nrmgr tn `fa`hfa`t t`g jcpclfhftfgs ne t`g inlfhg rnlntfj

    systgi tnagt`gr wft` t`g IFJ hcw wg `cvg j`nsgk twn

    sjgkcrfns. Efrst t`g rnlntfj systgi trcjgs fts pct` wft`nut t`g

     prgsgkjg ne t`g mfsturlckjg enrjgs lut fk t`g sgjnkm sjgkcrfn

    c mfsturlfka enrjg gquch tn   K  x K  K    )sfk(3742:742:74    fscpphfgm nk t`g lcsg nk t`g ernkt rfa`t jnrkgr w`gk t`g lcsg

    rgcj`gs i x  

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3/I.Gshcif, Z.Chf C. Innscvfck

    5<

    (c)

    (l)Efaurg 7. Ucrfctfnk ne t`g hget & rfa`t w`ggh tnrqugs, (c) wft`nut

    mfsturlckjg, (l) wft` mfsturlckjg.

    (c)

    (l)Efaurg 5. Ucrfctfnk ne t`g lcsg rnhh/pftj` ckahg, (c) wft`nut mfsturlckjg,

    (l) wft` mfsturlckjg.

    Efa. 1 s`nws t`g nlogjt, efrst ckm sgjnkm gkm geegjtnrs

     pnsftfnk grrnr. Cs ft fs sggk, t`grg crg twn pnfkts ne

    mfsruptfnk erni knrich trgkms w`fj` jnrrgspnkm tn t`g tfig

    ne swftj`fka erni t`g jfrjuhcr pcrt tn t`g strcfa`t pcrt ne t`g

     pct`, ckm t`g fipcjt mug tn jnktcjt wft` t`g nlstcjhg,

    rgspgjtfvghy. Cetgr t`g jnktcjt, t`g nlogjt trcjbfka grrnr wfhh

    ukmgran c stgcmy grrnr w`fj` fiphfgs t`ct t`g IFJ hcw wfhh

    knt chhnw t`g nlogjt tn gxpgrfgkjg gxjgssfvg enrjg. Fk nt`gr

    wnrms, t`g jcusg ne t`g stgcmy grrnr hfgs fk t`g ecjt t`ct t`g

    IFJ hcw jnkjgktrctgs nk t`g nlogjt mykcifjch lg`cvfnr ly

    cpphyfka mgefkgm fipgmckjgs lnt` ct t`g nlogjt hgvgh ckm t`g

    rnlntfj systgi hgvgh, rct`gr t`ck gxphfjft enrjg/pnsftfnktrcjbfka jnktrnh. Zn cs ft fs sggk t`g nlogjt wfhh jnig fktn

    sinnt` stnp ct t`g nlstcjhg, w`fj` s`nws t`g sujjgss ne

    cpphyfka t`g mgsfrgm fipgmckjg ckm t`g igrfts ne t`g IFJ

    chanrft`i fk tgris ne sinnt` pgrenrickjg, f.g. kgahfaflhg

    sichh trcjbfka grrnrs fk t`g prgsgkjg ne fipcjts mug tn

    jnktcjt wft` nlstcjhgs ckm sfakfefjckt mfsturlckjgs ckm gkm-

    geegjtnr ehgxflfhfty.

    Efaurg 1. ]`g nlogjt (tnphget), 3st (tnprfa`t) ckm

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3/I.Gshcif, Z.Chf C. Innscvfck

    5:

    enr t`g tfig ne gxgrtfka t`g mfsturlckjg lut cetgr t`ct t`g grrnr

    cacfk jnkvgrags tn zgrn.

    (c)

    (l)Efaurg 0. ]`g w`gghs ckahg grrnrs, (c) wft`nut mfsturlckjg, (l) wft`

    mfsturlckjg.

    Efa. 6 (c) s`nws t`g vcrfctfnk ne t`g vgrtfjch pnsftfnk ne lcsg

    jgktgr ne icss (JI) wft` rgspgjt tn tfig. Fk Efa. 6 (l) jck

     lg sggk t`ct t`g vgrtfjch pnsftfnk lg`cvgs hfbg c sprfka-icss-

    mcipgr systgi uktfh ft gxpgrfgkjgs t`g mfsturlckjg. ]`gk, ft

    jnkvgrags tn fts stgcmy-stctg vchug. Ft jck lg sggk t`ct t`g

    mfsturlckjg `cs vgry shfa`t geegjts nk t`g nlogjt ckm gkm-geegjtnrs trcjbfka grrnrs sfkjg t`g ickfpuhctnrs cmoust

    t`gisghvgs tn enhhnw t`g mgsfrgm trcogjtnrfgs.

    (c)

    (l)Efaurg 6. ]`g lcsg JI vgrtjch pnsftfnk murfka efrst

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    Fktgrkctfnkch Onurkch ne \nlntfjs, Unh. 3, Kn. 3/I.Gshcif, Z.Chf C. Innscvfck

    5=

    R5Y Zc`c, Z. B., ckm Ckaghgs, O., ‘Bfkgictfjs ckm

    Mykcifjs ne c ]`rgg-Q`gghgm