A study on integral resonant control focusing on the angular difference of a torsional vibration system with a rigid body mode

Abstract

Integral resonant control (IRC) is a vibration control method that has attracted much attention recently. In IRC, the measured displacement is integrated and positively feedback to the input force. It has been shown that IRC is highly effective in vibration control of flexible structures, e.g., nano-positioners, despite its simple first-order controller. IRC cannot apply to the system including poles at the origin (i.e., including rigid body modes). This paper shows that IRC is applicable for a two DoF rotating system including a rigid body mode if we appropriately select the angular difference as the output variable of the system.