In turning metal cutting, the occurrence of self-excited vibration, so called chatter, is undesirable as it gives rise to production problems, causing detrimental effects on the machined surface finish and decreasing the machining efficiency. In this paper, in order for chatter suppression, a piezoactuator is introduced for the regulation of the machine tool displacement and the metal cutting system is modeled as a class of uncertain linear system with hysteresis and time delay. In order to overcome the chatter due to the hysteresis and time delay during the cutting process, an robust adaptive controller for the metal cutting system of ultra-precision is proposed and the simulation results shows that the proposed adaptive controller significantly eliminates the chatter phenomena.

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