Fundamentals of Robotics Course - Exponential Coordinates in Robotics | Fundamentals of Robotics | Lesson 9

🌟 Contents 🌟 💎 (00:00​​) Introduction 💎 (02:04​​) Exponential Coordinate Representation of Orientation 💎 (02:53​​) Interpretations for the Exponential Coordinate Representation for a Rotation Matrix 💎 (03:10​​) Demo for the first Interpretation for the Exponential Coordinate Representation for a Rotation Matrix 💎 (03:47​​) The second Interpretation for the Exponential Coordinate Representation for a Rotation Matrix 💎 (04:26​​) The third Interpretation for the Exponential Coordinate Representation for a Rotation Matrix 💎 (05:17​​) Some Notes from Linear Differential Equation Theory 💎 (07:50​​) The Analogy between the Exponential Coordinates of Orientation and the Linear Differential Equations 💎 (10:38​​) Physical Demonstration of the Tangent Velocity in Circular Motion 💎 (11:17​​) Definition of Cross Product between Two Vectors 💎 (17:24​​) Matrix Logarithm of Rotations 💎 (23:50​​) Example for Matrix Logarithm of Rotations with demo 💎 (26:22​​) Demonstration: The Orientation of a Two Degrees of Freedom Robot Wrist In this lesson, we will focus on one of the ways to explicitly represent the space of orientations, namely the exponential coordinates representation. Be sure to also watch other lessons on Fundamentals of Robotics gathered into a playlist for your convenience as some of the lessons are prerequisites for this lesson. References: 📘 Textbooks: Modern Robotics: Mechanics, Planning, and Control by Frank Park and Kevin Lynch A Mathematical Introduction to Robotic Manipulation by Murray, Lee, and Sastry 💲 If you enjoyed this video, please consider contributing to help us with our mission of making Robotics and Mechatronics available for everyone. We sincerely thank you for your generous contribution (you can do this by the Thanks button under the video). ©️ Tutorials and learning material are proprietary to Mecharithm, but sampling is permitted with proper attribution to the main source. #roboticsolutions #robotics #roboticsengineering #roboticslearning #roboticsschool #roboticsstudent #roboticsclass #roboticseducation #mechatronics #mechatronicsengineering #mechatronicstudent #roboticseducationcentre #robot #robots #robotech #robotdesign #rotation #orientation #configuration #rotationmatrices #ExponentialCoordinate #angularvelocity #circularmotion #tangentvelocity #scararobot #saladspinner #crossproduct #robotwrist #degreesoffreedom