A study of limit cycles and chaotic motions of a single-link robot manipulator during slow motion

Abstract

In this paper, limit cycles and chaotic motion of a single-link robot manipulator moving at low speed are investigated. The dynamic model of the one-link robot manipulator is set up in which different joint friction is considered. By using the describing function of the nonlinear part of the robot control system, stable limit cycles are proven to exist. The chaotic motion is shown via a Poincare map. Numerical simulations identify the chaotic zone location near the imaginary axis of the complex plane.