%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% % Lachaise Assignment % LaTeX Template % Version 1.0 (26/6/2018) % % This template originates from: % http://www.LaTeXTemplates.com % % Authors: % Marion Lachaise & François Févotte % Vel (vel@LaTeXTemplates.com) % % License: % CC BY-NC-SA 3.0 (http://creativecommons.org/licenses/by-nc-sa/3.0/) % %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%% %---------------------------------------------------------------------------------------- % PACKAGES AND OTHER DOCUMENT CONFIGURATIONS %---------------------------------------------------------------------------------------- \documentclass{article} \input{structure.tex} % Include the file specifying the document structure and custom commands %% \usepackage[backend=biber]{biblatex}} %% \addbibresource{ref.bib} %---------------------------------------------------------------------------------------- % ASSIGNMENT INFORMATION %---------------------------------------------------------------------------------------- \title{Controlling a Triangular Formation of Mobile Agent} % Title of the assignment \author{Anggoro Dwi Nur Rohman\\ \texttt{anggoro\_dwi@student.ub.ac.id}} % Author name and email address \date{Universitas Brawijaya--- \today} % University, school and/or department name(s) and a date %---------------------------------------------------------------------------------------- \begin{document} \maketitle % Print the title \section*{Pendahuluan} Akan dirangkum dari penelitian \section{Formasi Segitiga} Robot ditandai dengan 1,2,3. Apabila robot 1 mengikuti robot 2 maka dinotasikan dengan $[1] = 2$. jarak antara $i$ dan $[i]$ dinotasikan $d_i$. Koordinat vector dari agent $i$ dinotasikan dengan $x_i$ terhadap global koordinat yang fiks, dan $y_{ij}$ adalah posisi robot $j$ terhadap sistem koordinat dari $i$ yang telah tentukan. Apabila $R_i$ dan $\tau_i$ adalah matriks rotasi dan vector translasi maka $y_{ij} = R_ix_j + \tau_i, j \in \{1,2,3\}$. Penelitian ini menggunakan kinematik yang sedarhana \begin{eqnarray*} \dot{y}_{ii} &=& u_i \quad i \in \{1,2,3\} \\ \dot{x}_{i} &=& R_i^{-1} u_i \end{eqnarray*} \section*{Referensi} %% \printbibliography %% \begin{refsection} %% @INPROCEEDINGS{Cao2007, %% author={M. {Cao} and A. S. {Morse} and C. {Yu} and B. D. O. {Anderson} and S. {Dasguvta}}, %% booktitle={2007 46th IEEE Conference on Decision and Control}, %% title={Controlling a triangular formation of mobile autonomous agents}, %% year={2007}, %% volume={}, %% number={}, %% pages={3603-3608}, %% abstract={This paper proposes a distributed control law for maintaining a triangular formation in the plane consisting of three mobile autonomous agents. It is shown that the control law can cause any initially non-collinear, positively-oriented {resp. negatively-oriented} triangular formation to converge exponentially fast to a desired positively-oriented {resp. negatively- oriented} triangular formation. It is also shown that there is a thin set of initially collinear formations which remain collinear and may drift off to infinity as t rarr infin. These findings complement and extend earlier findings cited below.}, %% keywords={distributed control;mobile robots;multi-robot systems;spatial variables control;triangular formation;mobile autonomous agents;collinear formations;distributed control law;Autonomous agents;USA Councils;Distributed control;H infinity control;Differential equations;Information technology;Art;Australia Council}, %% doi={10.1109/CDC.2007.4434757}, %% ISSN={0191-2216}, %% month={Dec},} %% \end{refsection} \end{document}