A double pendulum consists of two pendulums attached to each other, and is a classic physical system that exhibits complex and chaotic motion. The balancing problem of double pendulum using only a single motor on the first joint is a well-known benchmark in control theory and robotics. This po...
MuJoCo (Multi-Joint dynamics with Contact) is a physics engine mainly developed by Emo Todorov and maintained by Google DeepMind. It is widely used in robotics, reinforcement learning research, and biomechanics. This post covers installation on macOS, importing model, and running simulations i...
The Particle Filter is a sequential Monte Carlo implementation of the Bayesian Filter. Unlike the Kalman Filter, it does not require linearity or Gaussian assumptions, making it suitable for highly nonlinear systems and non-Gaussian distributions. Instead of representing the belief with a mean...
The Kalman Filter is a specialized implementation of the Bayesian Filter. It is widely used in various engineering fields due to its optimality and computational efficiency when applied to linear systems with Gaussian noise. Below is a step-by-step mathematical derivation of its update equatio...
Setting up ROS using Docker allows for a clean and efficient development environment on macOS. This post guides installing Docker, pulling and running ROS images, configuring XQuartz for GUI support, and launching containers with X11 forwarding. Following steps help to run ROS tools like rviz ...
