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Robotics Demo

1. Kinematics - Forward and Inverse Kinematics

Fn 1.1: Symbolic Calculation using DH Table

using symbolic math package in Python - SymPy - to calculate forward and inverse kinematics with defined dh tables, see 1.1Kinematics_SymPy_DH.ipynb

  • matlab code is also available in the repository, but requires symbolic math toolbox

Fn 1.2: Dual Quaternion Representation

  • self-defined dual quaternion class to transfer dh table to dual quaternion and calculate forward and inverse kinematics, see 1.2Kinematics_Robot.ipynb

Eg 1.1: 2D Serial Robot

using example from this website.

  • 2D serial robot with 2 links and 2 joints
  • workspace visualization (serial #TODO)

Eg 1.2: 3D Serial Robot

  • #TODO test quaternion and dual quaternion with serial robot
  • inverse kinematics calculation #TODO
  • forward kinematics calculation (serial #TODO)
  • 3D serial robot with 3 links and 3 joints

Eg 1.3: 2D Parrallel Robot

  • 2D Parrallel Robot
  • workspace visualization ( parrallel #TODO)
  • inverse kinematics calculation
  • forward kinematics calculation ( parrallel#TODO)

Eg 1.4: 3D Parrallel Robot

2. Visulization

Fn 2.1: URDF Visualization

using yourdfpy to load robot defined in URDF format.

  • "data/urdf_files": contains urdf files for different robots. Source based on yourdfpy, draw robot in 2D/3D space with matplotlib

Fn 2.2: STL/OBJ Visualization

dual quaternion reference frame visualisation (#TODO) see implementations in 1.2Kinematics_Robot.ipynb

3. Control Method

Eg 3.1: Kalman Filter in Motion Tracking

with traditional Kalman Filter and Unscented Kalman Filter (filterpy package) Kalman Filter

Eg 3.2: Unscented Kalman Filter with 1D Pendulum

  • sigma points visualization Sigma Points{width=200 height=100}
  • UKF estimation result (parameters sensitive) UKF

Eg 3.3: Particle Filter / Monte Carlo Localization in Motion Tracking

  • Pariticle initialization Particle Initialization{width=100 height=100}
  • Particle Filter estimation result (parameters sensitive) Particle Filter

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