Theoretic modeling and adaptive control for two degree-of-freedom piezo-electric actuated chatter suppression system

In turning, the self-excited vibration, also called chatter, is undesirable as it gives rise to production problems. In this paper, in order to suppress chatter in turning, a turning process is modeled as a two degree-of-freedom uncertain system. A piezoactuator, the structure of which is independent of the tool holder in the machine, is introduced for the regulation of the cutting tool displacement. An adaptive control law is proposed and the simulation results show that the proposed adaptive control law significantly eliminates the chatter phenomena.