Control of a system of two interacting bodies on a rough inclined plane

Abstract

For a system of two bodies on an inclined plane with Coulomb’s friction, the in-principle possibility for driving the system to an arbitrary terminal state of rest by means of control of the interaction force between the bodies is proved for the case where the bodies do not rest on the common line of maximum slope in the initial state. A control algorithm that combines quasistatic and fast motions is designed.