Stability of a Friction Driver Using a Describing Function

Abstract

Recently, research into the friction driver has been carried out to obtain a high resolution position. However, it is difficult to have that order of resolution because the friction driver has non-linear friction and traction between the roller and the slider. It is reported that if, as an external force, friction exists in the system, the system may be unstable in the steady state. In this paper, the stability of the friction driver is studied, for the device having two non-linear terms, friction and traction, and the effect of a controller on the stability is explored. The conclusions are that the derivative controller is an effective method of stabilizing the friction driver system.