# Lecture 02 : Nonlinear Dynamics and Control ###### tags: `MIT 6.832` `Underactuated Robotics` `Optimal Controls` These are my paper notes of Lecture 2 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/jvj4WefJ0S0) # Table of Contents [TOC] ## Topics covered * Nonlinear dynamics with a constant torque * The overdamped pendulum * Non-Linear Autapse * LSTM : gated recurrent unit * The undamped pendulum with zero torque * The undamped pendulum with a constant torque * Nonlinear dynamics with limited torque * Energy shaping Control ## Notes ![](https://i.imgur.com/mXzqczu.jpg) ![](https://i.imgur.com/mGR0iY1.jpg) ![](https://i.imgur.com/CVpOhxC.jpg)