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How to improve the stability and suppress the vibration of cutting is of an interesting topic. In this article, a multiple time-delay controller is developed based on discrete optimal control method for turning and milling processes vibrations control. Numerical simulations are carried out to verify the efficiency of the controller. Results indicate the designed controller can suppress the cutting vibration efficiently and improve the stability of the cutting processes through the use of time delay intentionally. The influence of designed time-delay on the control performance and robustness are also discussed. In addition, for the milling processes, we find the proposed controller fail at some certain spindle speeds where period doubling bifurcation takes place. The reasons are discussed and explored.

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Time-delayed active vibration control for turning and milling processes

How to improve the stability and suppress the vibration of cutting is of an interesting topic. In this article, a multiple time-delay controller is developed based on discrete optimal control method for turning and milling processes vibrations control. Numerical simulations are carried out to verify the efficiency of the controller. Results indicate the designed controller can suppress the cutting vibration efficiently and improve the stability of the cutting processes through the use of time delay intentionally. The influence of designed time-delay on the control performance and robustness are also discussed. In addition, for the milling processes, we find the proposed controller fail at some certain spindle speeds where period doubling bifurcation takes place. The reasons are discussed and explored.