How to LEARN and USE quaternions

Описание: Resources for learning quaternions and applying them for PID control. It also includes a simulation of a direct quaternion PID controller I made.

This was a bit of a different format than what I've done before; I hope it was helpful! In the coming months, I'm planning to have more updates regarding the rocket I'm working on, so stay tuned!

Links discussed:

Resource 1
Visualizing quaternions (4d numbers) with stereographic projection, by 3Blue1Brown:    • Visualizing the 4d numbers Quaternions  

Resource 2
Quaternions and 3d rotation, explained interactively, by 3Blue1Brown:
Video link:    • Quaternions and 3d rotation, explained int...  
Website link: https://eater.net/quaternions

Resource 3
Quaternions, Wikipedia: https://en.wikipedia.org/wiki/Quaternion

Resource 4
PID Control - A brief introduction, by Brian Douglas:    • PID Control - A brief introduction  

Resource 5
Arduino PID Controller - From Scratch!, by Ian Carey:    • Arduino PID Controller - From Scratch!  

Resource 6
Full quaternion based attitude control for a quadrotor, by Emil Fresk and George Nikolakopoulos
Link 1: https://ieeexplore.ieee.org/document/...
Link 2: https://www.diva-portal.org/smash/get...

Other resources
Control Theory subreddit:   / controltheory  
Math subreddit:   / askmath  
How to Use Quaternions, by Positive Altitude:    • How to Use Quaternions  
Quaternion-Euler interactive visualization: https://quaternions.online/

Timestamps:
0:00 - Intro
1:07 - First Resource
1:27 - Second Resource
2:09 - Third Resource
2:48 - Fourth Resource
3:04 - Fifth Resource
3:18 - Sixth Resource
3:45 - Simulation