PR2 Gripper Transmission

Basic transmission equations:

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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Where

  • latex error! exitcode was 1 (signal 0), transscript follows:
    
    This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)
    
    kpathsea: Running mktexfmt latex.fmt
    mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
    mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
    mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
    mktexfmt:   /usr/share/httpd/.texlive2018/texmf-config/web2c/fmtutil.cnf
    /usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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    gripper gap size
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    This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)
    
    kpathsea: Running mktexfmt latex.fmt
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    /usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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    motor revolution
  • latex error! exitcode was 1 (signal 0), transscript follows:
    
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    kpathsea: Running mktexfmt latex.fmt
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    /usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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    screw drive
    latex error! exitcode was 1 (signal 0), transscript follows:
    
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    kpathsea: Running mktexfmt latex.fmt
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    mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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    This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)
    
    kpathsea: Running mktexfmt latex.fmt
    mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
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    mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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    intermediate variable.
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    kpathsea: Running mktexfmt latex.fmt
    mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
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    mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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    gear ratio
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    kpathsea: Running mktexfmt latex.fmt
    mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
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    /usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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    geometric constants of the gripper

Jacobians

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kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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/usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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where

latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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/usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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/usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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Inverse Transform (from $$\theta$$ to $$MR$$)

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kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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where
latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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and
latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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/usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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Transmissions

Denote

  • joint_state->position by $$P_j$$ : gripper gap size in meters

  • actuator_state->position by $$P_a$$ : motor angle in radians

  • joint_state->velocity by $$V_j$$ : gripper gap velocity in meters per second

  • actuator_state->velocity by $$V_a$$ : motor angular rate in radians per second

  • joint_state->effort by $$E_j$$ : in Newtons

  • actuator_state->effort by $$E_a$$ : motor torque in Newton-Meters

Propagate From Actuator State to Joint State $$(P_a,V_a,E_a) \rarr (P_j,V_j,E_j)$$

Motor angle in radians ($$P_a$$) is converted to motor revolutions ($$MR$$),

latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
mktexfmt:   /usr/share/httpd/.texlive2018/texmf-config/web2c/fmtutil.cnf
/usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
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and we have the transmission equation for gripper gap size above

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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.

Motor angular rates in radians per second (

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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) is converted to revolutions per second,

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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and the gripper gap velocity is approximated by

latex error! exitcode was 1 (signal 0), transscript follows:

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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Given motor torque

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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, gripper effort
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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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is approximated by

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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where

latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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is the moment of inertia at the motor and
latex error! exitcode was 1 (signal 0), transscript follows:

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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is defined as
latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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is the motor torque in
latex error! exitcode was 1 (signal 0), transscript follows:

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kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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.

Propagate From Joint State to Actuator State $$(P_j,V_j,E_j) \rarr (P_a,V_a,E_a)$$

pretty much the reverse of previous section, given

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kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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, inverse transmission gives
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kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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, and

latex error! exitcode was 1 (signal 0), transscript follows:

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kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
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I can't find the format file `latex.fmt'!
.

latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
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mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
mktexfmt:   /usr/share/httpd/.texlive2018/texmf-config/web2c/fmtutil.cnf
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latex error! exitcode was 1 (signal 0), transscript follows:

This is pdfTeX, Version 3.14159265-2.6-1.40.19 (TeX Live 2018) (preloaded format=latex)

kpathsea: Running mktexfmt latex.fmt
mktexfmt: mktexfmt is using the following fmtutil.cnf files (in precedence order):
mktexfmt:   /usr/share/texlive/texmf-dist/web2c/fmtutil.cnf
mktexfmt: mktexfmt is using the following fmtutil.cnf file for writing changes:
mktexfmt:   /usr/share/httpd/.texlive2018/texmf-config/web2c/fmtutil.cnf
/usr/bin/mktexfmt: mkdir(/usr/share/httpd/.texlive2018/) failed: Permission denied
I can't find the format file `latex.fmt'!

Known Limitations

  • Gripper transmission produced gripper effort differs from actual measured gripper effort by +/-20%.

Wiki: pr2_mechanism_model/pr2_gripper_transmission (last edited 2009-10-06 01:30:19 by hsu)