Trajectory tracking for rigid 3-pendulum with nonholonomic gears

Abstract

In this paper a solution to the trajectory tracking problem for nonholonomic 3-pendulum has been presented. The proposed control algorithm takes into considerations the kinematics as well as the dynamics of the nonholonomic system. Kinematic controller is the Jiang & Nijmeijer controller for chained systems and dynamic controller is a version of the Oya et al. control algorithm. Theoretical considerations have been illustrated with simulations.