A new control algorithm in terms of normalized quasi-velocities with gravitational forces

This paper presents a new control algorithm for manipulators whose dynamics is expressed in terms of quasi-velocities. In contrary to our previous algorithms (1995) this one also considers gravitational forces. Robot dynamic algorithms in terms of quasi-velocities are recursive in nature and consists of two recursions: one starts from a base of the manipulator towards its tip and the other in opposite direction. Both recursions are described by using vector-matrix notation. The algorithm presented makes the system stable in the sense of Lyapunov. The algorithm was tested on the model of a manipulator with two degrees of freedom.