https://mintoc.de/index.php?action=history&feed=atom&title=Time_optimal_car_problem 2026-06-09T08:00:50Z Revision history for this page on the wiki MediaWiki 1.43.1 https://mintoc.de/index.php?title=Time_optimal_car_problem&diff=2264&oldid=prev 2019-03-13T19:30:54Z

<p>Create results page with Python GEKKO</p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 19:30, 13 March 2019</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l34">Line 34:</td> <td colspan="2" class="diff-lineno">Line 34:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[:Category:AMPL/TACO | AMPL/TACO code]] at [[Time optimal car problem (TACO)]]</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>* [[:Category:AMPL/TACO | AMPL/TACO code]] at [[Time optimal car problem (TACO)]]</div></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div><ins style="font-weight: bold; text-decoration: none;">* [[:Category:Gekko | GEKKO Python code]] at [[Time optimal car problem (GEKKO)]]</ins></div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== References ==</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div>== References ==</div></td></tr> </table>

JohnHedengren https://mintoc.de/index.php?title=Time_optimal_car_problem&diff=2148&oldid=prev 2016-09-29T19:22:57Z

<p></p> <table style="background-color: #fff; color: #202122;" data-mw="interface"> <col class="diff-marker" /> <col class="diff-content" /> <col class="diff-marker" /> <col class="diff-content" /> <tr class="diff-title" lang="en"> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">← Older revision</td> <td colspan="2" style="background-color: #fff; color: #202122; text-align: center;">Revision as of 19:22, 29 September 2016</td> </tr><tr><td colspan="2" class="diff-lineno" id="mw-diff-left-l36">Line 36:</td> <td colspan="2" class="diff-lineno">Line 36:</td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><br></td></tr> <tr><td class="diff-marker" data-marker="−"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #ffe49c; vertical-align: top; white-space: pre-wrap;"><div><del style="font-weight: bold; text-decoration: none;"> </del>== References ==</div></td><td class="diff-marker" data-marker="+"></td><td style="color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #a3d3ff; vertical-align: top; white-space: pre-wrap;"><div>== References ==</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> &lt;biblist /&gt;</div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> &lt;biblist /&gt;</div></td></tr> <tr><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> </div></td><td class="diff-marker"></td><td style="background-color: #f8f9fa; color: #202122; font-size: 88%; border-style: solid; border-width: 1px 1px 1px 4px; border-radius: 0.33em; border-color: #eaecf0; vertical-align: top; white-space: pre-wrap;"><div> </div></td></tr> </table>

FelixMueller https://mintoc.de/index.php?title=Time_optimal_car_problem&diff=2141&oldid=prev 2016-07-31T07:24:56Z

<p>Created page with &quot;{{Dimensions |nd = 1 |nx = 2 |nu = 1 |nc = 6 |nre = 4 }}&lt;!-- Do not insert line break here or Dimensions Box moves up in the layou...&quot;</p> <p><b>New page</b></p><div>{{Dimensions<br /> |nd = 1<br /> |nx = 2<br /> |nu = 1<br /> |nc = 6<br /> |nre = 4<br /> }}&lt;!-- Do not insert line break here or Dimensions Box moves up in the layout...<br /> <br /> --&gt;The Time optimal car problem &quot;consists of starting and stopping a car in minimum for a fixed distance (300 units)&quot; and can be found e.g. in &lt;bib id=&quot;Cuthrell1987&quot; /&gt; and &lt;bib id=&quot;Logsdon1992&quot; /&gt;.<br /> <br /> == Mathematical formulation ==<br /> <br /> &lt;p&gt;<br /> &lt;math&gt;<br /> \begin{array}{llclr}<br /> \displaystyle \min_{z, u, t_f} &amp; t_f \\[1.5ex]<br /> \mbox{s.t.} <br /> &amp; \dot{z}_1 &amp; = &amp; z_2, \\<br /> &amp; \dot{z}_2 &amp; = &amp; u, \\[1.5ex]<br /> &amp; z(0) &amp;=&amp; (0,0)^T, \\<br /> &amp; z(t_f) &amp;=&amp; (300,0)^T, \\[1.5ex]<br /> &amp; z_1(t) &amp; \in &amp; [0,33],\\<br /> &amp; z_2(t) &amp; \in &amp; [0,330],\\<br /> &amp; u(t) &amp; \in &amp; [-2,1].\\<br /> \end{array} <br /> &lt;/math&gt;<br /> &lt;/p&gt;<br /> <br /> where &lt;math&gt; z = (z_1, z_2)^T &lt;/math&gt;.<br /> <br /> == Source Code ==<br /> <br /> Model descriptions are available in<br /> <br /> * [[:Category:AMPL/TACO | AMPL/TACO code]] at [[Time optimal car problem (TACO)]]<br /> <br /> <br /> == References ==<br /> &lt;biblist /&gt;<br /> <br /> &lt;!--List of all categories this page is part of. List characterization of solution behavior, model properties, ore presence of implementation details (e.g., AMPL for AMPL model) here --&gt;<br /> [[Category:MIOCP]]<br /> [[Category:ODE model]]<br /> [[Category:Minimum time]]</div>

FelixMueller