InMOOC
MOOC on inertial tools for robotics
The 6th edition opens
Luc Jaulin, ENSTA, UBO, Lab-STICC
jaulin.inmooc@gmail.com



Lab-STICC UBO GDR MACS GDR Robotique ENSTA Bretagne DGA ROBEX Sperob SAGIP



  1. Introduction
  2. Schedule and points
  3. Post your work
  4. Files
  5. Videos
  6. Other MOOCs







Introduction

InMOOC is a free MOOC open to everybody. It corresponds more or less to chapter 1 of the book "Mobile Robotics, Luc Jaulin (2015), ISTE editions". This MOOC requires notions in mathematics (typically those that are needed to enter engineering schools in France).
It is supposed to be in English, but some videos associated to exercises are still in French.

Context

Inertial techniques are used in several topics of mobile robotics. They are used
- to deal with data coming from an inertial measurement unit (IMU) which is a device that measures angular rates and accelerations to estimate a position of a robot
- for finding a dynamical model for a robot in a 3D environment with a position and orientation that may change with respect to the different forces and torques.
- to compute the input to apply to the robot so that it will move toward the right direction
Inertial tools are used in different types of robots /vehicles such as autonomous aircraft, underwater robots, satellites, car, etc.
In this MOOC, you will learn who to:
- Build the sensors that are able to measure the angular rate and the accelerations of a body inside its own frame;
- Derive the state equations which a 3D robot controlled with accelerations or forces;
- Integrate these state equations using an integration algorithm (Runge-Kutta for instance);
- Characterize and control the integration errors




Registration

To register fill the form :
The registration is not mandatory to follow the MOOC and to see the videos. But it is needed to have to get the diploma.

Required

To follow InMOOC, you should have some basic notions in Python and good knowledge in mathematics. If you do not know Python, but any other programming language, you may learn easily the required notions in this MOOC.
You will have to install Python 3 in your machine.

Videos

A video with explanations related to each exercise is given as soon as the lesson opens. You are not obliged to follow the method that is given in the video.







Diploma

To get the diploma, you need at least 25 points. Therefore, doing all exercises is not mandatory.
The participants who got enough points will receive a diploma corresponding this MOOC.
This diploma can be used by students to obtain the corresponding ECTS from their PhD courses, or to comply with any other requests by their home university.
If needed by your doctoral school, I can also provide a 20 minutes Skype exam with a mark, once the MOOC is finished.
An example of the diploma you can obtain :


Contact

For all questions, delays, etc send an email to jaulin.inmooc@gmail.com








Schedule and points

Lesson 1. Lie groups , 12:00.
Exercise 1. Propriété de la matrice antisymétrique ω∧ (1 point)
Exercise 2. Identité de Jacobi (1 point)
Exercise 3. Formule de Varignon (1 point)
Exercise 4. Quaternions (1 point)
Exercise 5. Lie group SE(2) (1 point)
Exercise 6. Amphisbaena robot (1 point)
Exercise 7. Car on the sphere (2 points)

Lesson 2. Lesson 2. Euler angles , 12:00.
Exercise 8 Heading of a boat (1 point)
Exercise 9 Immersion (2 points)
Exercise 10. Car on the torus (2 points)
Exercise 11. Robot manipulateur (1 point)

Lesson 3. Inertial unit , 12:00.
Exercise 12. Foucault pendulum (1 point)
Exercise 13. Schuler oscillations in an inertial unit (1 point)
Exercise 14. Graphisme robot 3D (1 point)

Lesson 4. Dynamic modeling , 12:00.
Exercise 15. Modélisation d'un robot sous-marin (1 point)
Exercise 16. Dzhanibekov effect (2 points)
Exercise 17. Euler vector field (2 points)
Exercise 18. Flat disk (2 points)
Exercise 19. Inverted rod pendulum (1 point)
Exercise 20. Rolling disk (2 points)

Lesson 5. Control , 12:00.
Exercise 21. Lie bracket for control (1 point)
Exercise 22. Follow the equator (1 point)
Exercise 23. Modeling and control of a torpedo (2 points)
Exercise 24. Geodesic (2 points)
Exercise 25. Helicopter looping (1 point)
Exercise 26. Hexarotor (2 points)
Exercise 27. Scansat (1 point)

All exercises should be posted: , 12:00.

Diplomas are sent by email: , 12:00.






Post your work

For each lesson, you should send your solution by email to jaulin.inmooc@gmail.com
For the exercises that require the execution of a program, You should provide the Python (or other) code.
You should also send a pdf file with some explanations and screen captures of the running program.
For some exercises, the solution corresponds to text and equations and no program is required. In such a case, you should post a scan of your paper sheet, (taken with you phone for instance) or any pdf file.










Files

pdf files for the lessons and the exercises.
Starting programs for Python users.
For Python users, use the library roblib.py.
For Python users, draw in 3D view3dlib.py.










Videos




Lesson 1. Lie groups

Open: Officially starts .
Lesson 1 is open in advance, to allow some adaptations and see how the MOOC works.

Abstract: We present the mathematical tools needed to understand the lessons. More precisely, we introduce the rotation matrices, rotation vectors, Lie groups, Lie algebra and systems of coordinates.






Exercise 1. Propriété de la matrice antisymétrique ω∧


Exercise 2. Identité de Jacobi


Exercise 3. Formule de Varignon


Exercise 4. Quaternions
Start from the file quaternion.py in inmoocpy.zip.


Exercise 5. Lie group SE(2)
Start from the file se2.py.



Exercise 6. Amphisbaena
Start from the file amphisbaena.py.



Exercise 7. Car on the sphere
Start from the file car_sphere.py.






Lesson 2. Euler angles

Open :

Abstract: We provide a parametrization of SO(3), the set of 3D rotations, via the Euler angles. The differential calculus in SO(3) and the link with rotation vectors. These concepts are illustrated through various examples such as the drawing of 3D objects.




Lesson 3. Inertial unit

Open :

Abstract: In this lesson, we show how to build an inertial unit system that will be embedded inside a mobile robot. For this, we will provide a kinematic model of a body moving and rotating freely in the space. Using an integration of the corresponding differential equation, we will show how we can estimate the position, the orientation and the speed of the robot.




Lesson 4. Dynamic modeling

Open :

Abstract: In this lesson, you only have exercises. We show how to get the state equations for three dimensional robots. We also explain how to simulate them with 3D graphic.




Lesson 5. Control

Open :

Abstract: In this lesson, you only have exercises. We give some applications of the previous theoretical tools for control, dealing with some specific problems related to mobile robotics.