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15. Both adaptive and model-based approaches successfully regulate the cutting force while accounting for process changes in very different ways. The adaptive technique is useful when an accurate model is not available, but is more complex compared to the model-based approach. 14. 15. 106]. 112]. Supervisory-level strategies are aimed at compensating for factors not explicitly considered in the design of the servo- and process-level controllers. For example, knowledge of the part geometry as contained in the computer-aided design system can be used to determine the reference values of process variables.
2002, “Machine Tool Monitoring and Control,” in the Mechanical Systems Design Handbook, O. Nwokah and Y. ), CRC Press, Boca Rotan, FL, pp. 75–84. Landers, R. , Ulsoy, A. G. and R. Furness, 2002, “Monitoring and Control of Machining Operations,” in the Mechanical Systems Design Handbook, O. Nwokah and Y. ), CRC Press, Boca Raton, FL, pp. 85–104. , 1989, Quality Engineering in Production Systems, McGraw-Hill, NY. Shewhart, W. , 1986, Statistical Method from the Viewpoint of Quality Control, Dover, New York.
These techniques incorporate the cutting force model and require bounds on the model parameters. Regardless of the control approach, saturation limits must be set on the commanded feed. A lower saturation of zero is typical since a negative feed will disengage the cutting tool from the workpiece; a non-zero lower bound may be set due to process constraints. An upper bound is set due to process or servo constraints. 1) and F is a maximum force per spindle revolution in a face milling operation. For control design, the model is augmented with an integral state to ensure constant reference tracking and constant disturbance rejection.