# Lecture 05 : Model Underactuated Systems - I ###### tags: `MIT 6.832` `Underactuated Robotics` `Optimal Controls` These are my paper notes of Lecture 5 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/VX86z8U4OsA) # Table of Contents [TOC] ## Topics covered * Linearization of Nonlinear Systems * Example : Simple Pendulum * Linearizing the Manipulator Equations ## Notes ![](https://i.imgur.com/qR0t2sd.jpg) ![](https://i.imgur.com/rppcXmj.jpg) ![](https://i.imgur.com/o4zhH6Z.jpg) ![](https://i.imgur.com/90MKF9D.jpg)