A Digital Robust Controller for Cutting Force Control in the End Milling Process

In this work, a digital robust controller is designed via Quantitative Feedback Theory (QFT) to maintain a constant cutting force in the presence of parametric uncertainty for a time varying end milling process. The QFT controller is designed using the delta transform method for discrete systems. The controller is designed to limit the overshoot and settling time of the cutting force levels over a range of cutting parameters. Models are presented for the cutting process and machine dynamics including parametric uncertainty, and these models are used to develop a controller which meets given tracking and regulation specifications for all plant values. Experimental results are obtained by implementing the controller on a milling machine.

[1]  Farrokh Sassani,et al.  DESIGN AND ANALYSIS OF ADAPTIVE CONTROLLERS FOR MILLING PROCESS , 1990 .

[2]  Ali Galip Ulsoy,et al.  DYNAMIC MODELING FOR CONTROL OF THE MILLING PROCESS. , 1985 .

[3]  Yung C. Shin,et al.  Modeling and control of cnc machines using a PC-based open architecture controller , 1995 .

[4]  Yoram Koren,et al.  Adaptive Control System for Turning , 1980 .

[5]  Suhada Jayasuriya,et al.  Frequency domain design for prespecified state and control constraints under persistent bounded disturbances , 1988, Proceedings of the 27th IEEE Conference on Decision and Control.

[6]  Barry K. Fussell,et al.  On-Line Identification of End Milling Process Parameters , 1989 .

[7]  Anthony E. Bentley Quantitative feedback theory with applications in welding , 1994 .

[8]  Bor-Sen Chen,et al.  Constant Turning Force Adaptive Controller Design , 1989 .

[9]  I. Horowitz,et al.  Synthesis of feedback systems with large plant ignorance for prescribed time-domain tolerances† , 1972 .

[10]  Yung C. Shin,et al.  Bearing Nonlinearity and Stability Analysis in High Speed Machining , 1992 .

[11]  Masayoshi Tomizuka,et al.  Modeling and conventional/adaptive PI control of a Lathe cutting process , 1988 .

[12]  H. Opitz,et al.  DETERMINATION OF THE TRANSFER FUNCTION BY MEANS OF SPECTRAL DENSITY MEASUREMENTS AND ITS APPLICATION TO THE DYNAMIC INVESTIGATION OF MACHINE TOOLS UNDER MACHINING CONDITIONS , 1970 .

[13]  F. N. Bailey,et al.  A delta transform approach to loop gain‐phase shaping design of robust digital control systems , 1994 .

[14]  Y. C. Shin,et al.  Control of Cutting Force for End Milling Processes Using an Extended Model Reference Adaptive Control Scheme , 1996 .