Nonholonomic Contorol of 3-D.O.F. Manipulator with a Free Joint

Abstract

This paper is concerned with point to point control of a 3 link planar manipulator where the first two joints are actuated and the third revoluted joint is unactuated. This system is a special case of under-actuated manipulators that have acceleration nonholonomic constraints. First, we show that this system is converted to seconed order chained form by coordinates and feedback transformation. Next we propose a control law that stabilizes this chained system with exponential convergence from any initial point to any desired point.