# Lecture 07 : Model Underactuated Systems - III ###### tags: `MIT 6.832` `Underactuated Robotics` `Optimal Controls` These are my paper notes of Lecture 7 of the course MIT 6.832 (Underactuated Robotics) of 2019 **Youtube Channel :** [6.832 Underactuated Robotics](https://www.youtube.com/channel/UChfUOAhz7ynELF-s_1LPpWg/) **Textbook :** [website](http://underactuated.csail.mit.edu/) **Lecture :** [video](https://youtu.be/h5Po8WSaQcE) # Table of Contents [TOC] ## Topics covered * Cartpole * Collocated vs Non-collocated Control * Task-space * Energy shaping * Differential Flatness ## Notes ![](https://i.imgur.com/FdSsO9o.jpg) ![](https://i.imgur.com/gIiYtFy.jpg) ![](https://i.imgur.com/AlgIdLh.jpg) ![](https://i.imgur.com/y9MME9P.jpg)