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RussTedrake committed Apr 20, 2024
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13 changes: 7 additions & 6 deletions book/humanoids.html
Expand Up @@ -480,12 +480,13 @@ <h1><a href="index.html" style="text-decoration:none;">Underactuated Robotics</a
will be conserved. Equation (\ref{eq:centroidal}) simply generalizes to the case
where forces are still applied.</p>

<p>Let me make one important point very clear: <b>this is not an approximation</b>.
This equations exactly describe the motion of the center of mass (and angular
momentum about the center of mass). The simplification here is not approximating the
dynamics, but rather that we have not yet captured all of the constraints we might
need to put on the forces we can produce with our limbs (due to kinematic
constraints) and our actuators (due to e.g. torque limits).</p>
<p>Let me make one important point very clear: <b>this is not an
approximation</b>. This equations exactly describe the motion of the center of
mass (and angular momentum about the center of mass). The simplification here is
not because we are approximating the dynamics, but rather because we have not yet
captured all of the constraints we might need to put on the forces we can produce
with our limbs (due to kinematic constraints) and our actuators (due to e.g.
torque limits).</p>
</subsection>
</section>

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4 changes: 4 additions & 0 deletions book/index.html
Expand Up @@ -785,6 +785,10 @@ <h1>Table of Contents</h1>
<li>Search, SAT, First order logic, SMT solvers, LP interpretation</li>
<li>Mixed-integer convex optimization</li>
<li>Graphs of Convex Sets</li>
<ul>
<li>Shortest path problems</li>
<li>Applications</li>
</ul>
</ul>
<li><a href=optimization.html#section6>"Black-box" optimization</a></li>
</ul>
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