Stabilization of the preset motions of a holonomic mechanical system without velocity measurement

Abstract

Problems on the stabilization of the preset positions and steady motions of holonomic mechanical systems, measuring only the generalized coordinates, are investigated. The novelty of the results lies in the construction of control actions that solve the above problems in a fairly general formulation. Problems concerning the stabilization of the preset positions and steady motions of a heavy rigid body with a fixed point and the preset positions of a two-link manipulator with three degrees of freedom are solved as specific applications of the theoretical results obtained.