Dynamic modeling of closed-chain robotic manipulators and implications for trajectory control

Abstract

A simple, physically insightful method for dynamic modeling of manipulators containing closed kinematic chains is presented. Founded on D'Alembert's principle, the method centers around a transformation from the well-understood dynamics of serial and open-chain mechanisms to closed-chain dynamic robot models. The framework for the closed-chain dynamic robot model fosters straightforward extensions of serial robot engineering activities in the areas of digital simulation, real-time control, parameter identification, and optimal path planning to closed-chain manipulators. The algorithms needed to realize these extensions are detailed, and the important concepts are highlighted with an example.< <ETX xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">&gt;</ETX>