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-%\newcommand{\filename}[1]{\texttt{#1}} - %\usepackage{hyperref} %\hypersetup{ @@ -107,7 +105,7 @@ This technical report presents several learning and optimal control techniques in robotics in the form of simple toy problems that can be easily coded. It comes with a set of standalone examples gathered as a git repository \textbf{Robotics Codes From Scratch (RCFS)}, accessed at: \begin{center} -\texttt{https://gitlab.idiap.ch/rli/robotics-codes-from-scratch} +\url{https://gitlab.idiap.ch/rli/robotics-codes-from-scratch} \end{center}%\\ Each section in this report lists the corresponding source codes in Python and Matlab (ensuring full compatibility with GNU Octave), as well as in C++ and Julia for some of the principal examples. @@ -1794,7 +1792,7 @@ see also Fig.~\ref{fig:iLQR_manipulator}. Reaching task with a humanoid (side view) by keeping the center of mass in an area defined by the feet location. } \label{fig:iLQR_CoM} -%\vspace{-20pt} +\vspace{-20pt} \end{wrapfigure} If we assume an equal mass for each link concentrated at the joint (i.e., assuming that the motors and gripper are heavier than the link structures), the forward kinematics function to determine the center of a mass of an articulated chain can simply be computed with @@ -1908,7 +1906,7 @@ with the corresponding Jacobian matrix $\bm{J}^\tp{CoM}\in\mathbb{R}^{2\times 5} %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% -\subsubsection{Ellipsoidal obstacle avoidance} %(1-e'*e)'*(1-e'*e) version +\subsubsection{Obstacle avoidance with ellipsoid shapes} %(1-e'*e)'*(1-e'*e) version, where 1-e'*e is a scalar \begin{flushright} \filename{iLQR\_obstacle.*} \end{flushright} @@ -1927,7 +1925,7 @@ with the corresponding Jacobian matrix $\bm{J}^\tp{CoM}\in\mathbb{R}^{2\times 5} \centering \includegraphics[width=.30\textwidth]{images/iLQR_ellipsoidObstacle01.png} \caption{\footnotesize -Reaching task with obstacle avoidance. +Reaching task with obstacle avoidance, by starting from $\bm{x}_1$ and reaching $\bm{\mu}_T$ while avoiding the two obstacles in red. } \label{fig:iLQR_obstacle} \vspace{-80pt} -- GitLab