Newton-Euler Recursive Algorithm - Robotic Dynamics Algorithm

This article introduces the Newton-Euler recursive algorithm, a fundamental robotic dynamics computation method implemented using MATLAB to describe inverse dynamics. Inverse dynamics algorithms calculate joint torques and forces based on known end-effector positions, velocities, and accelerations. This algorithm is crucial in robotics control as it enables precise motion control of robotic systems. The underlying principle of the Newton-Euler recursive algorithm combines Newton's second law of motion with Euler's equations of motion. The implementation typically involves two main phases: forward recursion and backward recursion. In the forward recursion phase, the algorithm computes velocities and accelerations propagating from the base to the end-effector, while the backward recursion calculates forces and torques propagating back from the end-effector to the base. Key MATLAB implementation aspects include: - Utilizing homogeneous transformation matrices for coordinate frame transformations - Implementing recursive equations for velocity and acceleration propagation - Calculating inertia tensors and Coriolis forces at each joint - Handling kinematic chain parameters through structured data arrays This algorithm finds extensive applications across various robotic systems including industrial manipulators, mobile robots, and aerial vehicles. Understanding and mastering this algorithm is essential for professionals working in robotics control and automation fields, as it forms the foundation for advanced control strategies and real-time motion planning systems.