On stabilization of program motions of holonomic mechanical system

Abstract

Consideration was given to stabilization of the program motion of a holonomic mechanical system. A methodology of designing a nonlinear control stabilizing the given set of program motions was proposed. It relies on the Lyapunov vector function and a comparison system which enables one to control the stabilization process. At that, the generated control is robust in variations of the system parameters and allows for the uncontrollable forces.